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

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

Infinity Learn · Accepted Answer

∴   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  $$=$$   M dVtdt substitute equation (2) Ft  $$=$$   M n $$R---(3)$$ here Vt is speed of the particle     power delivered  $$=Ft$$⋅Vt  substitute equations (3) and (1) in above equation   power delivered  $$==$$   MnR⋅nRt   $$=$$   $$Mn2R2$$⋅t

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 $n^{2} R t^{2}$ . Where n is a constant, the power delivered to the particle by the force acting on it is

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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

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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 $n^{2} R t^{2}$ . Where n is a constant, the power delivered to the particle by the force acting on it is