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A plank with a uniform sphere placed on ...

A plank with a uniform sphere placed on it rests on a smooth horizontal plane. The plank is pulled to the right by a constant force `F`. It the sphere does not slip over the plank, then

A

Both have the same acceleration

B

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

C

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

D

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

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The correct Answer is:
B, C, D
For pure rolling motion, static friction would act in the forward direction on the sphere. Work done by static friction is change in the kinetic energy of the sphere. Work done by static friction on the complete sphere + Plank system is zero.
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