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Question

A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V, the average power delivered to the particle is
  1. MV2T
  2. 12MV2T2
  3. MV2T2
  4. 12MV2T


Solution

The correct option is D 12MV2T
Power delivered in time T is
P=WT
where W is the work done in time T
According to the work energy theorem
W=ΔK
W=12MV20
where V is the final velocity of the particle.
Hence P=12MV2T

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