A solid sphere starts from rest at the top of an incline of height h and length l , and moves down. The force of friction between the sphere and the incline is F. This is insufficient to prevent slipping. The kinetic energy of the sphere at the bottom of the incline is W.
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(a, d)
In rolling with slipping, the force of friction produces a torque which gives an angular acceleration to the body. Hence, part of the work done against friction is converted to rotational kinetic energy, which adds to the total kinetic energy. Only the remaining part of the work done against friction is converted to heat.
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