A ball initially slides without rotating on a horizontal surface with friction (see Fig). The initial speed

Question:

A ball initially slides without rotating on a horizontal surface with friction (see Fig). The initial speed of the ball is V0, and the moment of inertia about its center is I = ?mR2.(a) Without knowing anything about the nature of the friction force, find the speed of the ball when it begins to roll without slipping. Also, find the kinetic energy lost while sliding.(b) Now consider the special case where the coefficient of kinetic friction is ?, independent of position. At what time, and at what distance, does the ball begin to roll without slipping? Verify that the work done by friction equals the energy loss calculated in part (a). (Be careful on this.)