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 𝑡 as, 𝑎𝑐 = 𝑘 2 𝑟𝑡 2 , The power delivered to the particle by the forces acting on it 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 𝑡 as, 𝑎𝑐 = 𝑘 2 𝑟𝑡 2 , The power delivered to the particle by the forces acting on it is

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

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

(C) \dfrac{mk^{4}r^{2}t^{5}}{3}

(D) Zero

Answer: option (B)

Solution:

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