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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 power delivered to the particle is

12MV2T2

MV2T2

12MV2T

MV2T

Solution:

Power delivered in time T is P = →F ⋅ →V = MaV or P = MVdV/dT ⇒ PdT = MVdV ⇒ PT = MV²/2 or P = 1/2MV²/T