First slide
Power
Question

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 

Moderate
Solution

   Centripetal Acceleration =   n2Rt2=  Vt2R
      Vt2  =  n2R2t2     Vt   =   nRt---(1) differentiate with respect to time t dVtdt  =   nR---(2)
   Tangential Force on the particle is Ft  =   MdVtdt substitute equation (2) Ft  =   M n R---(3) here Vt is speed of the particle 
    power delivered  =FtVt substitute equations (3) and (1) in above equation   power delivered  ==   MnRnRt   =   Mn2R2t
 

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