A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration…

A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2Rt2, where n is a constant. The power delivered to the particle by the force acting on it, is :
  1. 12 Mn2R2t2
  2. Mn2R2t
  3. MnR2t2
  4. MnR2t

Solution

ac=v2R=n2Rt2

v=nRT

at=dvdt=nR

Power =Matv

=M nR nRt

=Mn2R2t

Asked in: JEE Main 2016 (10 Apr Online)

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