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 as 𝑎𝑐 = 𝑘 2 𝑟𝑡 4 , where 𝑘 is a constant. The power delivered to the particle by the forces acting on its is

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 as 𝑎𝑐 = 𝑘 2 𝑟𝑡 4 , where 𝑘 is a constant. The power delivered to the particle by the forces acting on its is

(A) mk^{2}r^{2}t^{2}

(B) \dfrac{1}{3}mk^{2}r^{2}t^{2}

(C) zero

(D) 2mk^{2}r^{2}t^{2}

Answer : option (D)

Solution :

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 as 𝑎𝑐 = 𝑘 2 𝑟𝑡 4 , where 𝑘 is a constant. The power delivered to the particle by the forces acting on its is
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