Question

1Two masses move directly toward each other, colliding and bouncing off each other after the collision...

1Two masses move directly toward each other, colliding and bouncing off each other after the collision with no deformation or damage. Which of the following statements is correct?

a. The total momentum of the two combined masses is less than the total momentum of the masses before the collision, while the total KE of the combined masses is the same to the total KE of masses before the collision

b. The total momentum of the two combined masses is the same than the total momentum of the masses before the collision while the total KE of the combined masses is less than the total KE of masses before the collision

c. The total momentum of the two combined masses is the same than the total momentum of the masses before the collision while the total KE of the combined masses is greater than the total KE of masses before the collision

d. The total momentum of the two combined masses is less than the total momentum of the masses before the collision while the total KE of the combined masses is less than the total KE of masses before the collision

e. The total momentum of the two combined masses is the same than the total momentum of the masses before the collision while the total KE of the combined masses is the same than the total KE of masses before the collision

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Answer #1

Whether the collision is elestic or inelestic the momentum is always conserved when there is no external force acting on the bodies. In our case also momentum is conserved. Now there is no deformation, hence no energy is lost. Hence the collision is elestic. In elestic collision the kinetic energy is conserved. Total kinetic energy is also conserved.

Hence total momentum before and after collision is same also the same is for total energy.

Option e is correct

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