Q.
A body starts from rest and acquires a velocity V in time T. The work done on the body in time t will be proportional to:
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a
VTt
b
V2t2T
c
V2T2t
d
V2T2t2
answer is D.
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Detailed Solution
Work done on the body is equal to gain in the kinetic energy.Acceleration of the body; a = VTVelocity acquired in time t: v = at = v = at = VTtNow KE acquired directly proportional to v2So work done directly proportional to V2t2T2
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