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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 is varying with time t as ac=k2rt2, where k is a constant. The power delivered to the particle by the forces acting on it is

A
zero
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B
mk2r2t2
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C
mk2r2t
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D
mk2rt
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Solution

The correct option is C mk2r2t
ac=v2r=k2rt2v2=k2r2t2
KE=12mv2=12mk2r2t2
Using work - energy theorem.
W=ΔK=12mk2r2t20
P=ΔKΔt=mk2r2t
Hence, the correct answer is option (c).

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