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A plank with a uniform sphere placed on ...

A plank with a uniform sphere placed on it resting on a smooth horizontal plane. Plank is pulled to right by a constant force `F`. If sphere does not slip over the plank. Which of the following is incorrect?

A

acceleration of the centre of sphere is less than that of the plank

B

work done by friction acting on the sphere is equal to its total kinetic energy

C

total kinetic energy of the system is equal to work done by the force `F`

D

none of the these

Text Solution

Verified by Experts

The correct Answer is:
D
From the shown figure `alpha+Ralpha=A`
So `Agta`

By work energy theorem, work done by friction on sphere is change in its `KE`. If we consider sphere and plank as a system, then change in `KE` of plank and sphere is work done by `F`.
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