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A solid sphere, a hollow sphere and a di...

A solid sphere, a hollow sphere and a disc, all having same mass and radius, are placed at the top of an inclined plane and released. The friction coefficients between the objects and the incline are same and not sufficient to allow pure rolling. Least time will be taken in reaching the bottom by

A

the work done against the frictional force is Fl.

B

the heat produced is F l.

C

W = mgh - F l

D

W gt (mgh - F l)

Text Solution

Verified by Experts

The correct Answer is:
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. Only the remaining part of the work done against friction is converted to heat.
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