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A body of mass m is accelerated uniformly from rest to a speed v in time T. The instantaneous power delivered to the body in terms of time is given by..... 

(A) [{mv2} / {T2}] ∙ t 

(B) [{mv2} / {T2}] ∙ t2 

(C) [{mv2} / {2T}] ∙ t 

(D) [{mv2} / {2T2}] ∙ t2

1 Answer

+1 vote
by (65.8k points)
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Best answer

Correct option: (A) [{mv2} / {T2}] ∙ t

Explanation:

power = force × velocity

p = F ∙ v

p = ma ∙ v

as a ∙ t = v hence

p = ma ∙ at

p = ma2t

given:

acceleration = a = (v/T)

hence

p = m(v/T)2t

p = {(mv2) / T2} ∙ t   

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