Physics A Final Review 1. Grace is driving her sports car at 30.0 m/s when a ball rolls out into the street in front of her. Grace slams on the brakes and comes to a stop in 3.00 seconds. What was the acceleration of Grace’s car? 2. A car with an initial speed of 23.7 km/h accelerates at a uniform rate of 0.92 m/s2 for 3.6 s. Find the displacement of the car during this time. 3. A parachutist descending at a speed of 10.0 m/s loses a shoe at an altitude of 50.0m. What is the velocity of the shoe just before it hits the ground? How long does it take the shoe to reach the ground? 4. Greg Louganis dives off the 3-m springboard and initially bounces up with a velocity of 8.0 m/s at an angle of 80.00 to the horizontal. What are the horizontal and vertical components of his velocity? 5. A hot air balloon drifts 25 km in a direction 70.00 north of east. An abrupt change in air movement then carries the balloon 8.0 km in a direction 40.00 south of east. Calculate the balloon’s resultant displacement (magnitude and direction). 6. A cannonball is shot horizontally from a cliff 45 m high at 25 m/s. How far away from the cliff does the cannonball land? 7. A paintball gun fires a ball with a horizontal velocity of 35 m/s. The ball hits a wall that is 7.0 m from the gun. How far below the level of the gun does the ball hit the wall? 8. Superman is said to be able to “leap tall buildings in a single bound.” How high a building could Superman jump over if he were to leave the ground with a speed of 60.0 m/s at an angle of 750 to the horizontal? 9. If a water particle in a stream of water in a fountain takes 0.35 s to travel from spout to receptacle 2.0 m away, what is the initial velocity and angle when the particle is shot? 10. A boy is pulling a wagon at an angle of 32.00 above the horizontal with a force of 50.0 N. Find the horizontal (Fx) and the vertical (Fy) components. 11. The forces acting on a sailboat are 390 N north and 180 N east. If the boat (including crew) has a mass of 270 kg, what are the magnitude and direction of its acceleration? 12. A student moves a box of books down the hall by pulling on a rope attached to the box. The student pulls with a force of 135 N at an angle of 22.0o above the horizontal. The box has a mass of 35.0 kg and k between the box and the floor is 0.27. Find the acceleration of the box. 13. A 55 kg ice skater, initially at rest on a flat skating rink, requires a 198 N horizontal force to be set in motion. However, after the skater is in motion, a horizontal force of 175 N keeps her moving at a constant velocity. Find the coefficients of static (s) and kinetic friction (k) between the skates and the ice (2 separate problems). 14. A 25.0 kg slides down a 37.0o ramp with an acceleration of 1.50 m/s2. Determine the coefficient of kinetic friction (k ) between the box and the ramp. 15. Suppose a block with a mass of 10.0 kg is placed on a 50.0o incline plane. If the coefficient of kinetic friction is 0.330, how much force (FA) is needed to pull the block up the incline with an acceleration of 3.25 m/s2? 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. a = -10.0 m/s2 xf = 30 m or 30. m vfy = -32.9 m/s and t = 2.34 s x = 1.4 m/s and y = 7.9 m/s R = 24 km and = 520 x = 75 m yf = - 0.20 m yf = 170 m vi = 5.9 m/s or 6.0 m/s and = 170 Fx = 42.4 N and Fy = 26.5 N a = 1.6 m/s2 and = 250 E of N or 650 NE a = 1.3 m/s2 s = 0.37 and k = 0.32 k = 0.56 FA = 128.4 N
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