ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: ALMAGUER ROMO EZEQUIEL FRANCISCO Question 1: An object is initially moving at 10ms-1. At t=0, it then accelerates uniformly to 25ms-1 in 5s. It continues to move at this speed for 5s and finally comes to rest, with uniform acceleration, in 15s. calculate: a) the acceleration in the first 515s b) the total distance moved c) the acceleration in the last 15s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 30cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.5s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 90m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 40m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 12s. During the first 5s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.14999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.1499999999999999ms-2. The total mass of the aircraft is 9.5×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 15ms-1 on a horizontal road. The total mass of the person plus the bicycle is 70kg. The person stops pedalling and comes to rest in 12s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 5.0999999999999996kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0099999999999998ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 70kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.1000000000000001ms-2. Question 11 A block of wood of mass m = 200g is being pulled along a surface by a force F = 60N. The force of friction between the block and the surface has a magnitude of 40N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3kg and m2 = 1.39999999999999995kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 220g and it causes both scale pans to accelerate at 2.52ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 50kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 46° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.1499999999999999kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: ALVAREZ GARCIA CLARISSA Question 1: An object is initially moving at 9ms-1. At t=0, it then accelerates uniformly to 24ms-1 in 6s. It continues to move at this speed for 6s and finally comes to rest, with uniform acceleration, in 16s. calculate: a) the acceleration in the first 616s b) the total distance moved c) the acceleration in the last 16s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 35cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.3999999999999999s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 91m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 42m above its starting point d) how far the stone will be from its starting point at t = 6s. Question 5 A person runs a 100m race in 13s. During the first 6s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.16s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.1800000000000002ms-2. The total mass of the aircraft is 9.4000000000000004×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 16ms-1 on a horizontal road. The total mass of the person plus the bicycle is 71kg. The person stops pedalling and comes to rest in 14s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.9000000000000004kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0999999999999996ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 71kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.2000000000000002ms-2. Question 11 A block of wood of mass m = 205g is being pulled along a surface by a force F = 58N. The force of friction between the block and the surface has a magnitude of 38N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.1000000000000001kg and m2 = 1.55kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 222g and it causes both scale pans to accelerate at 2.5ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 52kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 45° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.25kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: ARELLANO RUIZ EUGENIO SALVADOR Question 1: An object is initially moving at 8ms-1. At t=0, it then accelerates uniformly to 23ms-1 in 7s. It continues to move at this speed for 7s and finally comes to rest, with uniform acceleration, in 17s. calculate: a) the acceleration in the first 717s b) the total distance moved c) the acceleration in the last 17s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 40cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.6000000000000001s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 92m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 44m above its starting point d) how far the stone will be from its starting point at t = 5s. Question 5 A person runs a 100m race in 14s. During the first 7s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.17000000000000001s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.21ms-2. The total mass of the aircraft is 9.3000000000000007×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 17ms-1 on a horizontal road. The total mass of the person plus the bicycle is 72kg. The person stops pedalling and comes to rest in 16s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.7000000000000002kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.2000000000000002ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 72kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.2999999999999998ms-2. Question 11 A block of wood of mass m = 210g is being pulled along a surface by a force F = 56N. The force of friction between the block and the surface has a magnitude of 36N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.2000000000000002kg and m2 = 1.60000000000000015kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 224g and it causes both scale pans to accelerate at 2.48ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 54kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 44° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.3500000000000001kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: CABALLERO ELOSUA OSCAR VICENTE Question 1: An object is initially moving at 7ms-1. At t=0, it then accelerates uniformly to 22ms-1 in 8s. It continues to move at this speed for 8s and finally comes to rest, with uniform acceleration, in 18s. calculate: a) the acceleration in the first 818s b) the total distance moved c) the acceleration in the last 18s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 50cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.7000000000000002s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 93m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 46m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 15s. During the first 8s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.17999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.2400000000000002ms-2. The total mass of the aircraft is 9.1999999999999993×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 18ms-1 on a horizontal road. The total mass of the person plus the bicycle is 73kg. The person stops pedalling and comes to rest in 18s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.5kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.2999999999999998ms-2. If the acceleration due to gravity is g = 10ms2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 73kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.3999999999999999ms-2. Question 11 A block of wood of mass m = 215g is being pulled along a surface by a force F = 54N. The force of friction between the block and the surface has a magnitude of 34N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.2999999999999998kg and m2 = 1.75kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 226g and it causes both scale pans to accelerate at 2.46ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 56kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 43° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.4500000000000002kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: CABRAL TREVIÑO ALBERTO Question 1: An object is initially moving at 6ms-1. At t=0, it then accelerates uniformly to 21ms-1 in 9s. It continues to move at this speed for 9s and finally comes to rest, with uniform acceleration, in 19s. calculate: a) the acceleration in the first 919s b) the total distance moved c) the acceleration in the last 19s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 55cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.7999999999999998s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 94m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 48m above its starting point d) how far the stone will be from its starting point at t = 6s. Question 5 A person runs a 100m race in 16s. During the first 9s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.19s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.27ms-2. The total mass of the aircraft is 9.0999999999999996×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 15ms-1 on a horizontal road. The total mass of the person plus the bicycle is 74kg. The person stops pedalling and comes to rest in 20s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.2999999999999998kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.4000000000000004ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 74kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.5ms-2. Question 11 A block of wood of mass m = 220g is being pulled along a surface by a force F = 52N. The force of friction between the block and the surface has a magnitude of 32N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.3999999999999999kg and m2 = 1.85kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 228g and it causes both scale pans to accelerate at 2.4399999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 58kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 42° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.5499999999999998kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: CABRERA RAMIREZ LEONARDO ALEJANDRO Question 1: An object is initially moving at 5ms-1. At t=0, it then accelerates uniformly to 20ms-1 in 5s. It continues to move at this speed for 5s and finally comes to rest, with uniform acceleration, in 15s. calculate: a) the acceleration in the first 515s b) the total distance moved c) the acceleration in the last 15s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 60cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.8999999999999999s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 95m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 50m above its starting point d) how far the stone will be from its starting point at t = 5s. Question 5 A person runs a 100m race in 17s. During the first 10s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.20000000000000001s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.2999999999999998ms-2. The total mass of the aircraft is 9×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 16ms-1 on a horizontal road. The total mass of the person plus the bicycle is 75kg. The person stops pedalling and comes to rest in 12s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.0999999999999996kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.5ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 75kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.6000000000000001ms-2. Question 11 A block of wood of mass m = 225g is being pulled along a surface by a force F = 50N. The force of friction between the block and the surface has a magnitude of 30N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.5kg and m2 = 1.89999999999999995kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 230g and it causes both scale pans to accelerate at 2.4199999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 60kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 41° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.6499999999999999kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: CANTU LOPEZ KARINA DENISSE Question 1: An object is initially moving at 10ms-1. At t=0, it then accelerates uniformly to 19ms-1 in 6s. It continues to move at this speed for 6s and finally comes to rest, with uniform acceleration, in 16s. calculate: a) the acceleration in the first 616s b) the total distance moved c) the acceleration in the last 16s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 65cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.5s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 96m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 52m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 18s. During the first 11s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.20999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.3300000000000001ms-2. The total mass of the aircraft is 8.9000000000000004×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 17ms-1 on a horizontal road. The total mass of the person plus the bicycle is 76kg. The person stops pedalling and comes to rest in 14s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.8999999999999999kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.5999999999999996ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 76kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.7000000000000002ms-2. Question 11 A block of wood of mass m = 230g is being pulled along a surface by a force F = 48N. The force of friction between the block and the surface has a magnitude of 28N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.6000000000000001kg and m2 = 25kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 232g and it causes both scale pans to accelerate at 2.3999999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 62kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 40° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.75kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: CAVALLAZZI HUERTA PEDRO JULIAN Question 1: An object is initially moving at 9ms-1. At t=0, it then accelerates uniformly to 18ms-1 in 7s. It continues to move at this speed for 7s and finally comes to rest, with uniform acceleration, in 17s. calculate: a) the acceleration in the first 717s b) the total distance moved c) the acceleration in the last 17s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 70cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.3999999999999999s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 97m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 54m above its starting point d) how far the stone will be from its starting point at t = 6s. Question 5 A person runs a 100m race in 19s. During the first 5s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.22s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.3599999999999999ms-2. The total mass of the aircraft is 8.8000000000000007×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 18ms-1 on a horizontal road. The total mass of the person plus the bicycle is 77kg. The person stops pedalling and comes to rest in 16s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.7000000000000002kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.7000000000000002ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 77kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.7999999999999998ms-2. Question 11 A block of wood of mass m = 235g is being pulled along a surface by a force F = 46N. The force of friction between the block and the surface has a magnitude of 26N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.7000000000000002kg and m2 = 2.10000000000000015kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 234g and it causes both scale pans to accelerate at 2.3799999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 64kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 39° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.8500000000000001kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: DE LA GARZA VILLARREAL NAZAR ALI Question 1: An object is initially moving at 8ms-1. At t=0, it then accelerates uniformly to 17ms-1 in 8s. It continues to move at this speed for 8s and finally comes to rest, with uniform acceleration, in 18s. calculate: a) the acceleration in the first 818s b) the total distance moved c) the acceleration in the last 18s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 75cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.6000000000000001s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 98m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 56m above its starting point d) how far the stone will be from its starting point at t = 5s. Question 5 A person runs a 100m race in 20s. During the first 6s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.23000000000000001s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.3900000000000001ms-2. The total mass of the aircraft is 8.6999999999999993×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 15ms-1 on a horizontal road. The total mass of the person plus the bicycle is 78kg. The person stops pedalling and comes to rest in 18s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.5000000000000102kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0099999999999998ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 78kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.8999999999999999ms-2. Question 11 A block of wood of mass m = 240g is being pulled along a surface by a force F = 44N. The force of friction between the block and the surface has a magnitude of 24N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.7999999999999998kg and m2 = 2.20000000000000025kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 236g and it causes both scale pans to accelerate at 2.3599999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 66kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 38° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.9500000000000002kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: GARCIA MONJARAZ ANDREA VICTORIA Question 1: An object is initially moving at 7ms-1. At t=0, it then accelerates uniformly to 25ms-1 in 9s. It continues to move at this speed for 9s and finally comes to rest, with uniform acceleration, in 19s. calculate: a) the acceleration in the first 919s b) the total distance moved c) the acceleration in the last 19s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 80cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.7000000000000002s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 99m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 58m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 21s. During the first 7s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.23999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.4199999999999999ms-2. The total mass of the aircraft is 8.5999999999999996×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 16ms-1 on a horizontal road. The total mass of the person plus the bicycle is 79kg. The person stops pedalling and comes to rest in 20s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.30000000000001kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0999999999999996ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 79kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 3ms-2. Question 11 A block of wood of mass m = 245g is being pulled along a surface by a force F = 42N. The force of friction between the block and the surface has a magnitude of 22N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.8999999999999999kg and m2 = 2.29999999999999985kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 238g and it causes both scale pans to accelerate at 2.3399999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 68kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 37° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 3.0499999999999998kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: GARZA ZARATE CLAUDIA Question 1: An object is initially moving at 10ms-1. At t=0, it then accelerates uniformly to 25ms-1 in 5s. It continues to move at this speed for 5s and finally comes to rest, with uniform acceleration, in 15s. calculate: a) the acceleration in the first 515s b) the total distance moved c) the acceleration in the last 15s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 30cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.5s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 90m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 40m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 12s. During the first 5s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.14999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.1499999999999999ms-2. The total mass of the aircraft is 9.5×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 15ms-1 on a horizontal road. The total mass of the person plus the bicycle is 70kg. The person stops pedalling and comes to rest in 12s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 5.0999999999999996kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0099999999999998ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 70kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.1000000000000001ms-2. Question 11 A block of wood of mass m = 200g is being pulled along a surface by a force F = 60N. The force of friction between the block and the surface has a magnitude of 40N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3kg and m2 = 1.39999999999999995kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 220g and it causes both scale pans to accelerate at 2.52ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 50kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 46° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.1499999999999999kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: GUERRA GUZMAN MARIA CRISTINA Question 1: An object is initially moving at 9ms-1. At t=0, it then accelerates uniformly to 24ms-1 in 6s. It continues to move at this speed for 6s and finally comes to rest, with uniform acceleration, in 16s. calculate: a) the acceleration in the first 616s b) the total distance moved c) the acceleration in the last 16s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 35cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.3999999999999999s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 91m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 42m above its starting point d) how far the stone will be from its starting point at t = 6s. Question 5 A person runs a 100m race in 13s. During the first 6s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.16s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.1800000000000002ms-2. The total mass of the aircraft is 9.4000000000000004×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 16ms-1 on a horizontal road. The total mass of the person plus the bicycle is 71kg. The person stops pedalling and comes to rest in 14s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.9000000000000004kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0999999999999996ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 71kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.2000000000000002ms-2. Question 11 A block of wood of mass m = 205g is being pulled along a surface by a force F = 58N. The force of friction between the block and the surface has a magnitude of 38N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.1000000000000001kg and m2 = 1.55kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 222g and it causes both scale pans to accelerate at 2.5ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 52kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 45° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.25kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: LOZANO LOPEZ KEVIN Question 1: An object is initially moving at 8ms-1. At t=0, it then accelerates uniformly to 23ms-1 in 7s. It continues to move at this speed for 7s and finally comes to rest, with uniform acceleration, in 17s. calculate: a) the acceleration in the first 717s b) the total distance moved c) the acceleration in the last 17s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 40cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.6000000000000001s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 92m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 44m above its starting point d) how far the stone will be from its starting point at t = 5s. Question 5 A person runs a 100m race in 14s. During the first 7s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.17000000000000001s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.21ms-2. The total mass of the aircraft is 9.3000000000000007×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 17ms-1 on a horizontal road. The total mass of the person plus the bicycle is 72kg. The person stops pedalling and comes to rest in 16s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.7000000000000002kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.2000000000000002ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 72kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.2999999999999998ms-2. Question 11 A block of wood of mass m = 210g is being pulled along a surface by a force F = 56N. The force of friction between the block and the surface has a magnitude of 36N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.2000000000000002kg and m2 = 1.60000000000000015kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 224g and it causes both scale pans to accelerate at 2.48ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 54kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 44° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.3500000000000001kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: MAR BURUATO HECTOR HADID Question 1: An object is initially moving at 7ms-1. At t=0, it then accelerates uniformly to 22ms-1 in 8s. It continues to move at this speed for 8s and finally comes to rest, with uniform acceleration, in 18s. calculate: a) the acceleration in the first 818s b) the total distance moved c) the acceleration in the last 18s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 50cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.7000000000000002s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 93m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 46m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 15s. During the first 8s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.17999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.2400000000000002ms-2. The total mass of the aircraft is 9.1999999999999993×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 18ms-1 on a horizontal road. The total mass of the person plus the bicycle is 73kg. The person stops pedalling and comes to rest in 18s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.5kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.2999999999999998ms-2. If the acceleration due to gravity is g = 10ms2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 73kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.3999999999999999ms-2. Question 11 A block of wood of mass m = 215g is being pulled along a surface by a force F = 54N. The force of friction between the block and the surface has a magnitude of 34N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.2999999999999998kg and m2 = 1.75kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 226g and it causes both scale pans to accelerate at 2.46ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 56kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 43° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.4500000000000002kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: MONTALVO PEREZ CINTHYA CORINA Question 1: An object is initially moving at 6ms-1. At t=0, it then accelerates uniformly to 21ms-1 in 9s. It continues to move at this speed for 9s and finally comes to rest, with uniform acceleration, in 19s. calculate: a) the acceleration in the first 919s b) the total distance moved c) the acceleration in the last 19s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 55cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.7999999999999998s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 94m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 48m above its starting point d) how far the stone will be from its starting point at t = 6s. Question 5 A person runs a 100m race in 16s. During the first 9s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.19s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.27ms-2. The total mass of the aircraft is 9.0999999999999996×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 15ms-1 on a horizontal road. The total mass of the person plus the bicycle is 74kg. The person stops pedalling and comes to rest in 20s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.2999999999999998kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.4000000000000004ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 74kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.5ms-2. Question 11 A block of wood of mass m = 220g is being pulled along a surface by a force F = 52N. The force of friction between the block and the surface has a magnitude of 32N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.3999999999999999kg and m2 = 1.85kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 228g and it causes both scale pans to accelerate at 2.4399999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 58kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 42° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.5499999999999998kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: MORALES DELGADO ERIKA Question 1: An object is initially moving at 5ms-1. At t=0, it then accelerates uniformly to 20ms-1 in 5s. It continues to move at this speed for 5s and finally comes to rest, with uniform acceleration, in 15s. calculate: a) the acceleration in the first 515s b) the total distance moved c) the acceleration in the last 15s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 60cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.8999999999999999s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 95m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 50m above its starting point d) how far the stone will be from its starting point at t = 5s. Question 5 A person runs a 100m race in 17s. During the first 10s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.20000000000000001s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.2999999999999998ms-2. The total mass of the aircraft is 9×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 16ms-1 on a horizontal road. The total mass of the person plus the bicycle is 75kg. The person stops pedalling and comes to rest in 12s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.0999999999999996kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.5ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 75kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.6000000000000001ms-2. Question 11 A block of wood of mass m = 225g is being pulled along a surface by a force F = 50N. The force of friction between the block and the surface has a magnitude of 30N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.5kg and m2 = 1.89999999999999995kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 230g and it causes both scale pans to accelerate at 2.4199999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 60kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 41° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.6499999999999999kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: PEREZ VELA CESAR OLAF Question 1: An object is initially moving at 10ms-1. At t=0, it then accelerates uniformly to 19ms-1 in 6s. It continues to move at this speed for 6s and finally comes to rest, with uniform acceleration, in 16s. calculate: a) the acceleration in the first 616s b) the total distance moved c) the acceleration in the last 16s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 65cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.5s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 96m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 52m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 18s. During the first 11s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.20999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.3300000000000001ms-2. The total mass of the aircraft is 8.9000000000000004×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 17ms-1 on a horizontal road. The total mass of the person plus the bicycle is 76kg. The person stops pedalling and comes to rest in 14s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.8999999999999999kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.5999999999999996ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 76kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.7000000000000002ms-2. Question 11 A block of wood of mass m = 230g is being pulled along a surface by a force F = 48N. The force of friction between the block and the surface has a magnitude of 28N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.6000000000000001kg and m2 = 25kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 232g and it causes both scale pans to accelerate at 2.3999999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 62kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 40° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.75kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: RAMIREZ DE LEON HERNAN ABIEL Question 1: An object is initially moving at 9ms-1. At t=0, it then accelerates uniformly to 18ms-1 in 7s. It continues to move at this speed for 7s and finally comes to rest, with uniform acceleration, in 17s. calculate: a) the acceleration in the first 717s b) the total distance moved c) the acceleration in the last 17s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 70cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.3999999999999999s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 97m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 54m above its starting point d) how far the stone will be from its starting point at t = 6s. Question 5 A person runs a 100m race in 19s. During the first 5s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.22s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.3599999999999999ms-2. The total mass of the aircraft is 8.8000000000000007×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 18ms-1 on a horizontal road. The total mass of the person plus the bicycle is 77kg. The person stops pedalling and comes to rest in 16s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.7000000000000002kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.7000000000000002ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 77kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.7999999999999998ms-2. Question 11 A block of wood of mass m = 235g is being pulled along a surface by a force F = 46N. The force of friction between the block and the surface has a magnitude of 26N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.7000000000000002kg and m2 = 2.10000000000000015kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 234g and it causes both scale pans to accelerate at 2.3799999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 64kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 39° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.8500000000000001kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: RAMIREZ MARTINEZ LUIS ANTONIO Question 1: An object is initially moving at 8ms-1. At t=0, it then accelerates uniformly to 17ms-1 in 8s. It continues to move at this speed for 8s and finally comes to rest, with uniform acceleration, in 18s. calculate: a) the acceleration in the first 818s b) the total distance moved c) the acceleration in the last 18s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 75cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.6000000000000001s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 98m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 56m above its starting point d) how far the stone will be from its starting point at t = 5s. Question 5 A person runs a 100m race in 20s. During the first 6s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.23000000000000001s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.3900000000000001ms-2. The total mass of the aircraft is 8.6999999999999993×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 15ms-1 on a horizontal road. The total mass of the person plus the bicycle is 78kg. The person stops pedalling and comes to rest in 18s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.5000000000000102kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0099999999999998ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 78kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.8999999999999999ms-2. Question 11 A block of wood of mass m = 240g is being pulled along a surface by a force F = 44N. The force of friction between the block and the surface has a magnitude of 24N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.7999999999999998kg and m2 = 2.20000000000000025kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 236g and it causes both scale pans to accelerate at 2.3599999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 66kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 38° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.9500000000000002kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: RODRIGUEZ NUNCIO MARIO SAMUEL Question 1: An object is initially moving at 7ms-1. At t=0, it then accelerates uniformly to 25ms-1 in 9s. It continues to move at this speed for 9s and finally comes to rest, with uniform acceleration, in 19s. calculate: a) the acceleration in the first 919s b) the total distance moved c) the acceleration in the last 19s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 80cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.7000000000000002s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 99m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 58m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 21s. During the first 7s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.23999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.4199999999999999ms-2. The total mass of the aircraft is 8.5999999999999996×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 16ms-1 on a horizontal road. The total mass of the person plus the bicycle is 79kg. The person stops pedalling and comes to rest in 20s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 3.30000000000001kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0999999999999996ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 79kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 3ms-2. Question 11 A block of wood of mass m = 245g is being pulled along a surface by a force F = 42N. The force of friction between the block and the surface has a magnitude of 22N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.8999999999999999kg and m2 = 2.29999999999999985kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 238g and it causes both scale pans to accelerate at 2.3399999999999999ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 68kg is suspended by two strings from points A and B as shown figure 3where the angles are 35º and 60º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 37° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 3.0499999999999998kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: SANCHEZ SILLER GENARO Question 1: An object is initially moving at 10ms-1. At t=0, it then accelerates uniformly to 25ms-1 in 5s. It continues to move at this speed for 5s and finally comes to rest, with uniform acceleration, in 15s. calculate: a) the acceleration in the first 515s b) the total distance moved c) the acceleration in the last 15s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 30cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.5s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 90m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 40m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 12s. During the first 5s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.14999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.1499999999999999ms-2. The total mass of the aircraft is 9.5×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 15ms-1 on a horizontal road. The total mass of the person plus the bicycle is 70kg. The person stops pedalling and comes to rest in 12s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 5.0999999999999996kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0099999999999998ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 70kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.1000000000000001ms-2. Question 11 A block of wood of mass m = 200g is being pulled along a surface by a force F = 60N. The force of friction between the block and the surface has a magnitude of 40N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3kg and m2 = 1.39999999999999995kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 220g and it causes both scale pans to accelerate at 2.52ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 50kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 46° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.1499999999999999kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: SARMIENTO SMITH RAMIRO ALFONSO Question 1: An object is initially moving at 9ms-1. At t=0, it then accelerates uniformly to 24ms-1 in 6s. It continues to move at this speed for 6s and finally comes to rest, with uniform acceleration, in 16s. calculate: a) the acceleration in the first 616s b) the total distance moved c) the acceleration in the last 16s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 35cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.3999999999999999s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 91m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 42m above its starting point d) how far the stone will be from its starting point at t = 6s. Question 5 A person runs a 100m race in 13s. During the first 6s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.16s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.1800000000000002ms-2. The total mass of the aircraft is 9.4000000000000004×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 16ms-1 on a horizontal road. The total mass of the person plus the bicycle is 71kg. The person stops pedalling and comes to rest in 14s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.9000000000000004kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.0999999999999996ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 71kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.2000000000000002ms-2. Question 11 A block of wood of mass m = 205g is being pulled along a surface by a force F = 58N. The force of friction between the block and the surface has a magnitude of 38N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.1000000000000001kg and m2 = 1.55kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 222g and it causes both scale pans to accelerate at 2.5ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 52kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 45° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.25kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: VALADEZ ARRAZOLA AGUSTIN Question 1: An object is initially moving at 8ms-1. At t=0, it then accelerates uniformly to 23ms-1 in 7s. It continues to move at this speed for 7s and finally comes to rest, with uniform acceleration, in 17s. calculate: a) the acceleration in the first 717s b) the total distance moved c) the acceleration in the last 17s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 40cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.6000000000000001s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 92m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 44m above its starting point d) how far the stone will be from its starting point at t = 5s. Question 5 A person runs a 100m race in 14s. During the first 7s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.17000000000000001s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.21ms-2. The total mass of the aircraft is 9.3000000000000007×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 17ms-1 on a horizontal road. The total mass of the person plus the bicycle is 72kg. The person stops pedalling and comes to rest in 16s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.7000000000000002kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.2000000000000002ms-2. If the acceleration due to gravity is g = 10ms-2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 72kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.2999999999999998ms-2. Question 11 A block of wood of mass m = 210g is being pulled along a surface by a force F = 56N. The force of friction between the block and the surface has a magnitude of 36N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.2000000000000002kg and m2 = 1.60000000000000015kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 224g and it causes both scale pans to accelerate at 2.48ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 54kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 44° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.3500000000000001kg, calculate the magnitude of the force of friction acting on it. ASSIGNMENT 3 (INDIVIDUAL) GROUP 414 NAME: VIDALES HERRERA JESSICA ALEJANDRA Question 1: An object is initially moving at 7ms-1. At t=0, it then accelerates uniformly to 22ms-1 in 8s. It continues to move at this speed for 8s and finally comes to rest, with uniform acceleration, in 18s. calculate: a) the acceleration in the first 818s b) the total distance moved c) the acceleration in the last 18s d) the average speed for the whole motion. Question 2 A table tennis ball is dropped from a height of about 50cm centimetres on to a hard, smooth, horizontal surface. Sketch ..a) a displacement against time graph for (about) the first two seconds of the motion of the ball (consider the displacement to be measured from the horizontal surface) Sketch ..b) a velocity against time graph (covering the same period of time). Question 3 A stone is dropped from a high building and it is observed to take 3.7000000000000002s to reach the ground below. a) Assuming that air resistance is negligible, use the observation to calculate the height of the building. b) In practice, air resistance is not negligible. Is your answer to part a) higher or lower than the real height of the building? Explain your answer. Question 4 At t = 0s a stone is thrown vertically upwards and it reaches a height of 93m. Calculate: a) the time taken to return to its starting point b) the speed with which the stone was thrown c) the speed of the stone when it was 46m above its starting point d) how far the stone will be from its starting point at t = 7s. Question 5 A person runs a 100m race in 15s. During the first 8s the person accelerates (for simplicity, assume that the acceleration is uniform). For the rest of the race the person runs at constant speed, v. Calculate the speed, v. Question 6 The diagram (fig. 1) below represents a series of photographs of a ball thrown upwards on a planet on which the acceleration due to gravity is not 9•8ms-2. The photographs were taken at 0.17999999999999999s intervals. Calculate the magnitude of the acceleration due to gravity on the planet. Question 7 During take-off, an aircraft accelerates at 3.2400000000000002ms-2. The total mass of the aircraft is 9.1999999999999993×103kg. Calculate a) the net force acting on the aircraft during the acceleration b) the speed of the aircraft after 5 seconds of acceleration. Question 8 A person on a bicycle is moving at 18ms-1 on a horizontal road. The total mass of the person plus the bicycle is 73kg. The person stops pedalling and comes to rest in 18s. Calculate the average magnitude of the force causing the bicycle to slow down. Question 9 A mass m = 4.5kg is being accelerated upwards by the tension in a string, as shown The magnitude of the acceleration a = 4.2999999999999998ms-2. If the acceleration due to gravity is g = 10ms2, calculate the magnitude of the tension in the string. Question 10 A person stands in an elevator. The person has a mass of 73kg. Calculate the apparent weight of the person when the elevator is accelerating downwards at 2.3999999999999999ms-2. Question 11 A block of wood of mass m = 215g is being pulled along a surface by a force F = 54N. The force of friction between the block and the surface has a magnitude of 34N, see diagram below. a) the acceleration of the block b) the distance moved, starting from rest, in 4s. Question 12 The diagram figure 2 shows two masses hanging on a string passing over a light, frictionless pulley. a) Calculate the acceleration of the masses, given that m1 = 3.2999999999999998kg and m2 = 1.75kg. b) Calculate the magnitude of the tension in the string when the masses are accelerating. Question 13 In the diagram below, the object placed on the right hand scale pan has a mass M = 226g and it causes both scale pans to accelerate at 2.46ms-2. The scale pans themselves each have a mass m. a) Draw a diagram showing the forces which are acting on the mass M. b) Find the force which the mass M exerts on the scale pan. c ) Assuming that the pulley moves without friction and has negligible mass, calculate the total mass of the two scale pans. Question 14An object of mass 56kg is suspended by two strings from points A and B as shown figure 3where the angles are 40º and 30º . a) Calculate the tension, Te in each of the strings. b) If the distance A B is decreased, will the tensions in the strings increase, decrease or stay the same? Explain your answer. Question 15 A body rests, without slipping, on a plane which is inclined at 43° to the horizontal. a) Draw a diagram showing the forces acting on the body. b) If the body has a mass of 2.4500000000000002kg, calculate the magnitude of the force of friction acting on it.
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