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Slide 2 / 52 AP Physics C Momentum Multiple Choice www.njctl.org
Slide 3 / 52 1 A steel ball and a piece of clay have equal mass. They are dropped from the same height on a horizontal steel platform. The ball bounces back with nearly the same speed with which it hit. The clay sticks to the platform. Which object experiences the greater momentum change? A the ball B the clay C Both experience the same momentum change D there is no momentum change for either E more information is required
Slide 4 / 52 2 A car of mass m is moving with a momentum p. How would you represent its kinetic energy in terms of these two quantities? A B C D E
Slide 5 / 52 3 A bowling ball moving with speed v collides head-on with a stationary tennis ball. The collision is elastic, and there is no friction. The bowling ball barely slows down. What is the speed of the tennis ball after the collision? A nearly v B nearly 2v C nearly 3v D nearly infinite E Zero
Slide 6 / 52 4 An object with a mass of 2 kilograms is accelerated from rest. The graph shows the magnitude of the net force as a function of time. At t=4 seconds the object’s velocity would have been closest to which of the following? A 2 m/s B 4 m/s C 10 m/s D 13 m/s E 20 m/s
Slide 7 / 52 5 A 3 kg ball is dropped onto a concrete floor. What is the magnitude of the ball’s change in momentum if its speed just before striking the floor is 7 m/s and its rebound speed is 3 m/s? A 10 kg m/s B 15 kg m/s C 30 kg m/s D 50 kgm/s E 70 kg m/s
Slide 8 / 52 6 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 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 v B 2v C 3v D 4v E 5v
Slide 9 / 52 7 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 4v. Block 1 collides elastically with block 2. What is the final speed of block 1? A Zero B v C 2v D 3v E 4v
Slide 10 / 52 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 4v. Block 1 collides elastically with block 2. What is the final speed of block 2? A v B 2v C 3v D 4v E 6v
Slide 11 / 52 9 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 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 m/s. What is the magnitude of the change in momentum of the puck? A 2 kg m/s B 3 kg m/s C 5 kg m/s D 6 kg m/s E 10 kg m/s
Slide 12 / 52 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 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 m/s, what is the magnitude of the average force acting on the puck? A 100 N B 150 N C 200 N D 300 N E 500 N
Slide 13 / 52 11 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. The force time relations presented by the graph. What is the net impulse delivered by this force? A 6 Ns B 8 Ns C 24 Ns D 30 Ns E 36 Ns
Slide 14 / 52 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. The force time relations presented by the graph. What is the net work done on the object? A 30 J B 50 J C 90 J D 150 J E 120 J
Slide 15 / 52 13 A tennis ball of mass m rebounds from a vertical wall with the same speed v as it had initially. What is the change in momentum of the ball? A mv B 2mv C 2mvcosθ D 2mvsinθ E zero
Slide 16 / 52 14 A steel ball moving at a constant speed v on a horizontal frictionless surface collides obliquely with an identical ball initially at 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 B C D E
Slide 17 / 52 15 A stationary cannon ball explodes in three pieces of masses m, m, and 2m. The two momenta of equal masses presented by the diagram. What is the direction of the momentum of 2m mass? A B C D E
Slide 18 / 52 16 A stationary cannon ball explodes in three pieces of masses m, m, and 2m. The two momenta of equal masses presented by the diagram. What is the magnitude of the velocity of 2m cannon ball piece? A B C D E
Slide 19 / 52 17 An object with an initial momentum shown on the diagram collides with another object at rest. Which of the following combinations of two vectors may represent the momenta of the two objects after the collision? A B C E D
Slide 20 / 52 18 A 6 kg block moves with a constant speed 5 m/s on a horizontal frictionless surface and collides elastically with an identical block initially at rest. The second block collides and sticks to the last 6 kg block initially at rest. What is the speed of the second 6 kg block after the first collision? A zero B 2 m/s C 2.5 m/s D 3 m/s E 5 m/s
Slide 21 / 52 19 A 6 kg block moves with a constant speed 5 m/s on a horizontal frictionless surface and collides elastically with an identical block initially at rest. The second block collides and sticks to the last 6 kg block initially at rest. What is the speed of the third 6 kg block after the second collision? A zero B 2 m/s C 2.5 m/s D 3 m/s E 5 m/s
Slide 22 / 52 20 Object A with mass 8 kg travels to the east at 10 m/s and object B with mass 3 kg travels south at 20 m/s. The two objects collide and stick together. What is the magnitude of the velocity they have after the collision? A 1.8 m/s B 1.9 m/s C 12.7 m/s D 20 m/s E 25.5 m/s
Slide 23 / 52 21 Object A with mass 8 kg travels to the east at 10 m/s and object B with mass 3 kg travels south at 20 m/s. The two objects collide and stick together. What is the direction of the velocity they have after the collision? A 30º south of east B 37º south of east C 45º south of east D 53º south of east E 60º south of east
Slide 24 / 52 22 Two balls of equal mass m move with equal speeds v along paths inclined at 30° from the horizontal as shown. After the collision they stick together. What is the magnitude of their velocity? A B C D E
Slide 25 / 52 23 Block m 1 is moving with speed vo toward stationary block m 2 collides and sticks with it. The speed of the center of mass of the system is A B C D E
Slide 26 / 52 24 A cannonball of mass 2m is moving towards the right with initial velocity vo and explodes into two equal pieces each with mass m. What is the speed of the center of mass after the explosion? A v o B 0.5v o C 2v o D 4v o E 0
Slide 27 / 52 25 A bullet of mass M 1 is fired from a gun that is initially at rest. The combined mass of the gun and bullet is M 2 . If after the bullet is fired its kinetic energy is KE, what is the kinetic energy of the gun when it recoils? A B C D E
Slide 28 / 52 26 A ball of mass m is moving to the right with speed 3v on a frictionless tabletop when it collides with a second ball of mass 3m that is moving to the right with speed v. If the two balls stick together upon impact the speed of the balls immediately after the collision is A v/3 B v/2 C 2v/3 D 3v/2 E 2v
Slide 29 / 52 27 Person A and Person B are standing on a sheet of frictionless ice. Person A pushes Person B so that Person B who is 60 kg, moves to the right at 3 m/s, while Person A, who is 90 kg, moves to the left at 2 m/s. What is the velocity of their center of mass? A zero B 0.5 m/s to theleft C 1 m/s to the right D 2.4 m/s to the left E 2.5 m/s to the right
Slide 30 / 52 28 What is the rebound speed of a 4 kg ball falling straight down that hits the platform at 4 m/s, if the average normal force exerted by the platform on the ball was 40 N for 0.5s? A 2 m/s B 7 m/s C 6 m/s D 9 m/s E 1 m/s
Slide 31 / 52 29 A 2 kg mass moving at 12 m/s collides with an identical mass moving at -8 m/s and the mass stick together. What is the final velocity of the two masses? A 4/3 m/s B 2 m/s C 6 m/s D 10 m/s E 12 m/s
Slide 32 / 52 30 A compressed spring is placed between two masses M and m resting on a smooth horizontal surface. When the spring is released, the two fly apart with M moving at velocity v. The velocity of m is A B C D E
Slide 33 / 52 31 Consider these two cases: First, a car moving at 40 mph hits another car of equal mass moving at 40 mph in the opposite direction. Second, a car moving at 40 mph hits a stationary steel wall. The collision time is the same for the two cases and the collisions are both inelastic. In which of these cases would result in the greatest impact force? A Hitting the wall B Hitting the other car C The force would be the same in both cases D More information is needed E None of the above are true
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