Question

A body of mass m is accelerated uniformly from rest to a speed v is 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) mv²t/2T²
(D) mv²t²/2T²

Answer 1

Dear Student,

◆ Answer -

P = mv²t/T²

● Explanation -

Force acting on the body is -

F = ma

F = mv/T

Velocity of body at time t is given by -

v' = at

v' = vt/T

Instantaneous power of the body is -

P = Fv'

P = (mv/T) × (vt/T)

P = mv²t/T²

Therefore, instantaneous power of body at time t is mv²t/T².

Thanks dear...