A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a c is varying with time t as a c = k 2 r t 2 , where k 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 circular path of constant radius r such that its centripetal acceleration a c is varying with time t as a c = k 2 r t 2 , where k is a constant. The power delivered to the particle by the force acting on it is, 2 π m k 2 r 2, m k 2 r 2 t, m k 4 r 2 t 5 3, Zero

MARKS App · Accepted Answer

a c = k 2 r t 2 or v 2 r = k 2 r t 2 or v = k r t Therefore, tangential acceleration, a t = d v d t = k r or Tangential force, F t = m a t = m k r Only tangential force does work. P o w e r = F t v = m k r k r t or P o w e r = m k 2 r 2 t

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