Is vA Greater Than, Equal to, or Less Than vC After the Collisions?

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After the collisions, the velocities of objects A and C are compared based on their material properties and the outcomes of the collisions with ball B. When ball B collides with object A, it transfers all its energy to A, resulting in A having a higher final velocity. However, when ball B collides with object C, it rebounds, indicating that C has a greater final velocity than A. The key takeaway is that while energy may not be conserved in collisions, momentum is conserved, leading to the conclusion that vC is greater than vA. Understanding these dynamics clarifies the relationship between the velocities of the two objects post-collision.
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Homework Statement



Objects A and C are made of different materials, with different “springiness,” but they have the same mass and are initially at rest. When ball B collides with object A, the ball ends up at rest. When ball B is thrown with the same speed and collides with object C, the ball rebounds to the left. Compare the velocities of A and C after the collisions. Is vA greater than, equal to, or less than vC?

1. vA > vC

2. vA = vC

3. vA < vC

Homework Equations


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P=mv

The Attempt at a Solution


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I thought that since the ball stopped in the case of A, all of the energy would be transferred to A and that it would have the higher final velocity. However, the correct answer was tha vC was greater than vA and I wasn't sure why

 
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The energy need not conserve during a collision, but the momentum conserves. Which of A and C get greater momentum during the collision?
 
Ah I get it,

Thanks!
 

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