Ball A has mass MA, and ball B has mass MB. Ball B is held just above ball A, wi

Question

Ball A has mass MA, and ball B has mass MB. Ball B is held just above ball A, with their centers vertically aligned, so that the bottom of ball A is a height of 1.60 m above the ground. Immediately after ball A is released from rest, ball B with mass MB is also released from rest. When they reach the ground, ball A first rebounds from the ground and then immediately collides with ball B. Both collisions are elastic, and you should neglect air resistance. (Note: the centers of the two balls experience the same vertical displacement on the way down.)

(a) For what ratio MA/MB does ball B receive the largest possible fraction of the total energy from the collision between the two balls?

(b) If the ratio MA/MB is the value you found in part (a), what is the largest vertical displacement that ball B can experience after the collision between the two balls?
m

Explanation / Answer

a) When MA/MB is very very very large
b) largest vertical displacement that ball B can experience= 4h= 6.4 meter

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