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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:

MnR²t²

MnRt

1/2Mn²R²t²

Mn²Rt

Solution:

ac = V²/R = n²Rt² ⟹ V = nRt
at = dv/dt = nR
Power = ma*v = MnR × nRt = Mn²R²t