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Question

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ac varies with time t as ac=k2rt2, where k is a constant. The power delivered to the particles by the force acting on it is

A
2πmk2r2t
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B
mk2r2t
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C
mk4r2t53
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D
Zero
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Solution

The correct option is B mk2r2t
The centrifugal force mv2r
Centripetal force
mv2r=m.k2.rt2V=krt
Tangential accelration =dvdt=kr
Power delivered =Force×Velocity=mkr×Krt=mK2r2t

1117985_986773_ans_806ab426a9194750a8d61c42b7051b1e.png

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