Slide 1 / 52 Slide 2 / 52 AP Physics C Momentum Multiple Choice www.njctl.org Slide 3 / 52 Slide 4 / 52 1 A steel ball and a piece of clay have equal mass. They are 2 A car of mass m is moving with a momentum p. dropped from the same height on a horizontal steel platform. The How would you represent its kinetic energy in terms of these ball bounces back with nearly the same speed with which it hit. two quantities? The clay sticks to the platform. Which object experiences the greater momentum change? A A the ball B B the clay C C Both experience the same momentum change D D there is no momentum change for either E E more information is required Slide 5 / 52 Slide 6 / 52 3 A bowling ball moving with speed v collides head-on with a 4 An object with a mass of 2 kilograms is accelerated from rest. The stationary tennis ball. The collision is elastic, and there is no graph shows the magnitude of the net force as a function of time. friction. The bowling ball barely slows down. What is the speed of At t=4 seconds the object’s velocity would have been closest to the tennis ball after the collision? which of the following? A 2 m/s A nearly v B 4 m/s B nearly 2v C 10 m/s C nearly 3v D 13 m/s D nearly infinite E 20 m/s E Zero
Slide 7 / 52 Slide 8 / 52 5 A 3 kg ball is dropped onto a concrete floor. What is the magnitude 6 Two blocks are on a frictionless surface and have the same mass of the ball’s change in momentum if its speed just before striking m. Block 2 is initially at rest. Block 1 moves to the left with speed the floor is 7 m/s and its rebound speed is 3 m/s? 4v. Block 1 collides inelastically with block 2. Which of the following choices is closest to the final speed of the system of two blocks? A 10 kg m/s B 15 kg m/s A v B 2v C 30 kg m/s D 50 kgm/s C 3v E 70 kg m/s D 4v E 5v Slide 9 / 52 Slide 10 / 52 7 Two blocks are on a frictionless surface and have the same mass 8 Two blocks are on a frictionless surface and have the same mass m. Block 2 is initially at rest. Block 1 moves to the left with speed m. Block 2 is initially at rest. Block 1 moves to the left with speed 4v. Block 1 collides elastically with block 2. What is the final 4v. Block 1 collides elastically with block 2. What is the final speed of block 1? speed of block 2? A Zero A v B v B 2v C 2v C 3v D 3v D 4v E 4v E 6v Slide 11 / 52 Slide 12 / 52 9 A hockey stick hitting a 0.5 kg puck is in contact with the ball for a 10 A hockey stick hitting a 0.5 kg puck is in contact with the ball for a time of .05 seconds. The puck travels in a straight line as it time of .05 seconds. The puck travels in a straight line as it approaches and then leaves the hockey stick. If the puck arrives at approaches and then leaves the hockey stick. If the puck arrives at the stick with a velocity of 6.4 m/s and leaves with a velocity of -3.6 the stick with a velocity of 6.4 m/s and leaves with a velocity of -3.6 m/s. What is the magnitude of the change in momentum of the m/s, what is the magnitude of the average force acting on the puck? puck? A 2 kg m/s A 100 N B 3 kg m/s B 150 N C 5 kg m/s C 200 N D 6 kg m/s D 300 N E 10 kg m/s E 500 N
Slide 13 / 52 Slide 14 / 52 11 An object of mass 3 kg starts from rest and moves along the x- 12 An object of mass 3 kg starts from rest and moves along the x- axis. A net horizontal force is applied to the object in +x direction. axis. A net horizontal force is applied to the object in +x direction. The force time relations presented by the graph. What is the net The force time relations presented by the graph. What is the net impulse delivered by this force? work done on the object? A 6 Ns A 30 J B 8 Ns B 50 J C 24 Ns C 90 J D 30 Ns D 150 J E 36 Ns E 120 J Slide 15 / 52 Slide 16 / 52 13 A tennis ball of mass m rebounds from a vertical wall with the same 14 A steel ball moving at a constant speed v on a horizontal speed v as it had initially. What is the change in momentum of the frictionless surface collides obliquely with an identical ball initially at ball? rest. The velocity of the first ball before and after the collision is presented on the diagram. What is the approximate direction of the velocity of the second ball after the collision? A mv A B B 2mv C 2mvcosθ C D 2mvsinθ E zero D E Slide 17 / 52 Slide 18 / 52 15 A stationary cannon ball explodes in three pieces of masses m, m, 16 A stationary cannon ball explodes in three pieces of masses m, m, and 2m. The two momenta of equal masses presented by the and 2m. The two momenta of equal masses presented by the diagram. What is the direction of the momentum of 2m mass? diagram. What is the magnitude of the velocity of 2m cannon ball piece? A A B B C C D D E E
Slide 19 / 52 Slide 20 / 52 17 An object with an initial momentum shown on the diagram collides 18 A 6 kg block moves with a constant speed 5 m/s on a horizontal with another object at rest. Which of the following combinations of frictionless surface and collides elastically with an identical block two vectors may represent the momenta of the two objects after initially at rest. The second block collides and sticks to the last 6 kg the collision? block initially at rest. What is the speed of the second 6 kg block after the first collision? A B C A zero B 2 m/s C 2.5 m/s E D D 3 m/s E 5 m/s Slide 21 / 52 Slide 22 / 52 19 A 6 kg block moves with a constant speed 5 m/s on a horizontal 20 Object A with mass 8 kg travels to the east at 10 m/s and object B frictionless surface and collides elastically with an identical block with mass 3 kg travels south at 20 m/s. The two objects collide initially at rest. The second block collides and sticks to the last 6 kg and stick together. What is the magnitude of the velocity they have block initially at rest. What is the speed of the third 6 kg block after after the collision? the second collision? A 1.8 m/s A zero B 1.9 m/s B 2 m/s C 12.7 m/s C 2.5 m/s D 20 m/s D 3 m/s E 25.5 m/s E 5 m/s Slide 23 / 52 Slide 24 / 52 21 Object A with mass 8 kg travels to the east at 10 m/s and object B 22 Two balls of equal mass m move with equal speeds v along paths with mass 3 kg travels south at 20 m/s. The two objects collide inclined at 30° from the horizontal as shown. After the collision they and stick together. What is the direction of the velocity they have stick together. What is the magnitude of their velocity? after the collision? A A 30º south of east B B 37º south of east C C 45º south of east D 53º south of east D E 60º south of east E
Slide 25 / 52 Slide 26 / 52 23 Block m 1 is moving with speed vo toward stationary block m 2 24 A cannonball of mass 2m is moving towards the right with initial collides and sticks with it. The speed of the center of mass of the velocity vo and explodes into two equal pieces each with mass m. system is What is the speed of the center of mass after the explosion? A A v o B B 0.5v o C 2v o C D 4v o D E 0 E Slide 27 / 52 Slide 28 / 52 25 A bullet of mass M 1 is fired from a gun that is initially at rest. The 26 A ball of mass m is moving to the right with speed 3v on a combined mass of the gun and bullet is M 2 . If after the bullet is frictionless tabletop when it collides with a second ball of mass 3m fired its kinetic energy is KE, what is the kinetic energy of the gun that is moving to the right with speed v. If the two balls stick when it recoils? together upon impact the speed of the balls immediately after the collision is A B A v/3 B v/2 C C 2v/3 D 3v/2 D E 2v E Slide 29 / 52 Slide 30 / 52 27 Person A and Person B are standing on a sheet of frictionless ice. 28 What is the rebound speed of a 4 kg ball falling straight down that Person A pushes Person B so that Person B who is 60 kg, moves hits the platform at 4 m/s, if the average normal force exerted by to the right at 3 m/s, while Person A, who is 90 kg, moves to the left the platform on the ball was 40 N for 0.5s? at 2 m/s. What is the velocity of their center of mass? A 2 m/s A zero B 7 m/s B 0.5 m/s to theleft C 6 m/s C 1 m/s to the right D 9 m/s D 2.4 m/s to the left E 1 m/s E 2.5 m/s to the right
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