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When work is done on a body its kinetic energy changes.Let a constant force F acting on a body of mass m changes its velocity from u to v in a distance d, then work done = F * d
change in kinetic energy = 1/2mv2 - 1/2mu2 = 1/2m(v2 - u2) =1/2m * 2ad =ma * d =F *d
Therefore work done = change in kinetic energy, that is F *d = 1/2mv2 - 1/2mu2.
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