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A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration  is varying with time t as  where k is a constant. The power delivered to the particle by the forces is
  • a)
  • b)
  • c)
  • d)
    zero
Correct answer is 'B'. Can you explain this answer?
Most Upvoted Answer
A particle of mass m is moving in a circular path ofconstant radius r ...
Since ac = k^2rt^2
v^2/r = k^2rt^2
v^2=k^2r^2t^2
v = krt
F = m dv/dt
= mkr
Power = F.v
= (mkr)x(krt)
=mk^2r^2t
Hence b is the correct answer.
Community Answer
A particle of mass m is moving in a circular path ofconstant radius r ...
Force = m* ac
=m*K^2*r*t^2

Energy= Force * distance
= m* K^2*r^2*t^2

-->>>power= energy /time
=m*K^2*r^2*t


also... the constant in option a is a constant. so it is same as K.
hence b is correct
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A particle of mass m is moving in a circular path ofconstant radius r such that its centripetal accelerationis varying with time t aswhere k is aconstant. The power delivered to the particle by theforces isa)b)c)d)zeroCorrect answer is 'B'. Can you explain this answer?
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