Name: KEY ! 81 Force Pushing Momentum Date: ! ! Box—Final ! Period: ! Various ! similar ! ! are! being Impulse-Momentum boxes pushed for 10 secondsQuiz across a floor by a net horizontal force as show 1. below. Bill pushes various similar boxes for 10 seconds across a floor horizontal The mass of the boxes and the net horizontal force for eachwith caseaisnet given in the indicated figures. force as shown below. The mass of the boxes and the net horizontal force for each case is given in the indicated figures. Rank the final momentum for each box from the greatest momentum to the least momentum. All box havethe an final initialmomentum velocity of 10 to the is positive. Rank form/s. eachMotion box from theright greatest momentum to the least momentum. All boxes have an initial velocity of 10 m/s. Motion to the right is positive. 10 kg F = 100 N 15 kg F = 50 N 20 kg F = 75 N B J = 100 N * 10 s A = 1000 N*s p_final = (50 N * 10 s) + (15 kg * 10 m/s) J = Δp = p_final - p_initial = 500 N*s + 150 kg*m/s p_final = J + p_initial = 650 N*s [kg*m/s] p_final = 1000 N*s + (10 kg)*(10 m/s) p_final = 1100 N*s [kg*m/s] 20 kg F = 50 N D p_final = 10 * (50 + 20) = 700 N*s [kg*m/s] F Greatest 1_______ C p_final = (75 N * 10 s) + (20 kg *10 m/s) = 750 N*s + 200 kg*m/s = 950 N*s [kg*m/s] 10 kg F = 75 N 15 kg F = 100 N E p_final = 10 * (75 + 10) = 850 N*s [kg*m/s] F p_final = 10 * (100 +15) = 1150 N*s [kg*m/s] B A C E D 2_______ 3_______ 4_______ 5_______ 6_______ Least Highest 1________ 2________ 3________ 4________ 5________ 6________ Lowest Please carefully explain the reasoning for your ranking and show work as necessary. Or, all the final momenta are the same. Please carefully explain your reasoning. How sure were you of your ranking? (circle one) Basically Guessed Sure 1 2 3 4 5 6 81 7 8 Very Sure 9 10 T. O’Kuma Physics Ranking Tasks 86 Mechanics Name: ! 81 Force Pushing Momentum Date: ! ! Box—Final ! Period: ! Various ! similar ! ! are! being Impulse-Momentum boxes pushed for 10 secondsQuiz across a floor by a net horizontal force as show 1. below. Christina pushes various similar boxes for 10 seconds a case floor is with a net The mass of the boxes and the net horizontal forceacross for each given in the indicated figures. horizontal force as shown below. The mass of the boxes and the net horizontal force for each case is given in the indicated figures. Rank the final momentum for each box from the greatest momentum to the least momentum. All box havethe an final initialmomentum velocity of 10 to the is positive. Rank form/s. eachMotion box from theright greatest momentum to the least momentum. All boxes have an initial velocity of 10 m/s. Motion to the right is positive. 20 10 kg kg F = 100 N 10 15 kg kg F = 50 N 20 kg F = 75 N B J = 100 N * 10 s A = 1000 N*s p_final = (50 N * 10 s) + (10 kg * 10 m/s) J = Δp = p_final - p_initial = 500 N*s + 100 kg*m/s p_final = J + p_initial = 600 N*s [kg*m/s] p_final = 1000 N*s + (20 kg)*(10 m/s) p_final = 1200 N*s [kg*m/s] 10 20 kg kg F = 50 N p_final = 10 * (50 + 10) = 600 N*s [kg*m/s] D C p_final = (75 N * 10 s) + (20 kg *10 m/s) = 750 N*s + 200 kg*m/s = 950 N*s [kg*m/s] 15 10 kg kg F = 75 N 15 kg F = 100 N p_final = 10 * (75 + 15) = 900 N*s [kg*m/s] p_final = 10 * (100 + 15) = 1150 N*s [kg*m/s] E F A F C E B,D Greatest 1_______ 2_______ 3_______ 4_______ 5_______ 6_______ Least Please carefully explain the reasoning for your ranking and show work as necessary. Highest 1________ 2________ 3________ 4________ 5________ 6________ Lowest Or, all the final momenta are the same. Please carefully explain your reasoning. How sure were you of your ranking? (circle one) Basically Guessed Sure 1 2 3 4 5 6 81 7 8 Very Sure 9 10 T. O’Kuma Physics Ranking Tasks 86 Mechanics Name: ! 81 Force Pushing Momentum Date: ! ! Box—Final ! Period: ! Various ! similar ! ! are! being Impulse-Momentum boxes pushed for 10 secondsQuiz across a floor by a net horizontal force as show 1. below. Gary pushes various similar boxes for 10 seconds across floorcase withisagiven net horizontal The mass of the boxes and the net horizontal force foraeach in the indicated figures. force as shown below. The mass of the boxes and the net horizontal force for each case is given in the indicated figures. Rank the final momentum for each box from the greatest momentum to the least momentum. All box havethe an final initialmomentum velocity of 10 to the is positive. Rank form/s. eachMotion box from theright greatest momentum to the least momentum. All boxes have an initial velocity of 10 m/s. Motion to the right is positive. 15 10 kg kg 20 15 kg F = 100 N F = 50 N A 10 20 kg kg F = 75 N B J = 100 N * 10 s = 1000 N*s p_final = (50 N * 10 s) + (20 kg * 10 m/s) J = Δp = p_final - p_initial = 500 N*s + 200 kg*m/s p_final = J + p_initial = 700 N*s [kg*m/s] p_final = 1000 N*s + (15 kg)*(10 m/s) p_final = 1150 N*s [kg*m/s]10 15 20 kg kg 10 kg kg F = 50 N F = 75 N p_final = 10 * (50 + 10) = 600 N*s [kg*m/s] 20 15 kg kg F = 100 N p_final = 10 * (75 + 15) = 900 N*s [kg*m/s] D C p_final = (75 N * 10 s) + (10 kg *10 m/s) = 750 N*s + 100 kg*m/s = 850 N*s [kg*m/s] p_final = 10 * (100 + 20) = 1200 N*s [kg*m/s] E F A F E C B D Greatest 1_______ 2_______ 3_______ 4_______ 5_______ 6_______ Least Highest 1________ 2________ 3________ 4________ 5________ 6________ Lowest Please carefully explain the reasoning for your ranking and show work as necessary. Or, all the final momenta are the same. Please carefully explain your reasoning. How sure were you of your ranking? (circle one) Basically Guessed Sure 1 2 3 4 5 6 81 7 8 Very Sure 9 10 T. O’Kuma Physics Ranking Tasks 86 Mechanics 2. The minimum force that is needed to crack an egg is 25 N. Based on this fact, state reasonable values of force and time for the two following cases: an egg hitting the wall and an egg hitting a sheet. Assume that the force-time graph is shaped like a rectangle. The figures below are NOT drawn to scale. Egg hitting a wall! ! ! ! Answers will vary. The force here should be greater than or equal to 25 N. The time should be relatively short. ! Egg hitting a bed sheet Answers will vary. The force here should be less than 25 N and the time should be longer than the case for when the egg is hitting a wall. The force multiplied by the time, the impulse, should be equal to each other in each case because the change in momentum will be the same. The egg will be moving from a non-zero velocity to zero velocity when it is stopped by the wall or the sheet. b) What is the corresponding impulse for the values for force and time you selected? How did you determine the impulse? The impulse is the force multiplied by the time. The impulse is determined by either computing the area of the rectangle above or finding the product of force and time. Values will vary depending on which values of force and time were chosen. c) Now assume that the force-time graph for the egg hitting the bed sheet is shaped like a semi-circle. What is the maximum force that the egg will experience? J = area under curve = area of semi-circle = 1/2 * (area of circle) J = 1/2 (𝛑* r^2) (2* J)/ 𝛑 = r^2 Fmax √((2*J)/ 𝛑) = r The radius of the semi-circle was calculated where the radius is equal to the maximum force that the egg will experience in this case. Answers will vary since the impulse, J, is different. d) If the mass of the average egg is 0.05 kg, what is the change in velocity (Δv) that the egg experiences [use the impulse from part (b)] ? What are my known values? m = 0.05 kg J = (from previous part) J = Δp = m*Δv Δv = J/m Actual answers will vary according to the impulse in part (b).
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