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A table-tennis ball is thrown at a stationary bowling ball. The table-tennis bal

ID: 1790559 • Letter: A

Question

A table-tennis ball is thrown at a stationary bowling ball. The table-tennis ball makes a one-dimensional elastic collision and bounces back along the same line. Compared with the bowling ball after the collision, table-tennis ball will have:

a larger magnitude of momentum and more kinetic energy.

a smaller magnitude of momentum and more kinetic energy.

a larger magnitude of momentum and less kinetic energy.

a smaller magnitude of momentum and less kinetic energy.

the same magnitude of momentum and the same kinetic energy.

Explanation / Answer

Fourth option will be correct.

we know for elastic collision, v1 = (m-M)v/(m+M)

v2 = 2mv/(M+m)

magnitude of momentum of table tennis ball will be less since initial momentum was in the initial direction of table tennis , so total final momentum should be in that direction only

KE1= 0.5mv1^2 and KE2= 0.5Mv2^2

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