Athin-walled, hollow sphere of mass m and radius r is free to rotate around a vertical shaft that passes through the center of the sphere. initially, the sphere is at rest. a small ball of clay of the same mass m moving horizontally at speed v grazes the surface of the sphere at its equator. after grazing the surface, the ball of clay is moving at speed v/2. what is the angular momentum of the ball of clay about the shaft before it grazes the surface? after it grazes the surface?

initial angular momentum is given as

final angular momentum is given as

Explanation:

Angular momentum of the ball about the axis of the thin walled sphere is given as

here we know that

before it grazes the surface the speed is "v" while after grazing the surface its speed is "v/2"

So we have

initial angular momentum is given as

final angular momentum is given as

are there answer choices to this question? this seems like a question where you have options to choose from.

the answer is a 3.8cm

explanation: