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

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SUMMARY

The discussion centers on the comparison of velocities vA and vC after collisions involving objects A and C, which have different material properties but equal mass. When ball B collides with object A, it comes to rest, transferring all its momentum to A, resulting in a lower final velocity for A. Conversely, when ball B collides with object C, it rebounds, leading to a greater final velocity for C. Therefore, the conclusion is that vC is greater than vA after the collisions.

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  • Understanding of momentum conservation principles
  • Familiarity with elastic and inelastic collisions
  • Knowledge of basic physics equations, particularly P=mv
  • Concept of energy transfer during collisions
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of collisions and momentum transfer in physical systems.

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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


[/B]
P=mv

The Attempt at a Solution


[/B]
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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