Work Energy And Power Question 294

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 particles by the force acting on it is

Options:

A) 2πmk2r2t

B) mk2r2t

C) (mk4r2t5)3

D) zero

Show Answer

Answer:

Correct Answer: B

Solution:

[b] The centripetal acceleration ac=k2rt2orv2r=k2rt2v=krt

So, tangential acceleration, at=dvdt=kr

Work is done by tangential force. Power =Fi.v.cos0=(mat)(krt)=(mkr)(krt)

=mk2r2t



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