A sphere of radius r and mass m is projected along a rough horizontal surface with the ini...

A sphere of radius r and mass m is projected along a rough horizontal surface with the initial velocities indicated. If the final velocity of the sphere is to be zero, express, in terms of v0, ri and µk, (a) the required magnitude of ω0, (b) the time t1 for the sphere to come to rest, (c) the distance the sphere will move before coming to rest.