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Q.

A solid sphere of radius R is rolled by a force F acting at the top of the sphere as shown in the figure. There is no slipping and initially sphere is in the rest position then :A) Work done by force F when the centre of mass moves a distance S is 2FS.B) Speed of the CM when CM moves a distance S is C) Work done by the force F when CM moves a distance S is FSD) Speed of the CM when CM moves a distance S is

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a

Only A & B are correct

b

only A & C are correct

c

only B & C are correct

d

only C & D are correct

answer is A.

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Detailed Solution

If  displacement of centre C of the sphere is S, the displacement of the topmost point A will be 2S. work done by force of friction is zero. By work-energy Theorem, Therefore statements (A) and (B) are correct.
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