A 10 kg solid sphere of radius r = 0.8 m is rolling without slipping on a horizontal rough surface with constant speed 8m/s. The force applied by the right half of the sphere on the left half is
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Initially at time t=0, a solid sphere slides with velocity v along a horizontal surface. The coefficient of friction is u. Find the required time for the sphere to stop sliding (the sphere will then be rolling).
Ive tried using Newtons equations of motion but I'm not sure what the final velocity will be? At first I thought it may be zero because it will be rolling but obviously it will still have some translational velocity. I've also found the work done by the friction on the sphere and taking this figure away from the initial kinetic energy leaving (what I thought) would be the rotational kinetic energy that the ball has. However I can't get to the answer. I'm almost certain I'm just missing a small trick but I have no idea where to go with it.