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Consider an object of mass, m moving with a uniform velocity, u. Let it nowbe displaced through a distance s when a constant force, F acts on it in the direction of its displacement

the work done, W is F s.W = F.S = ma sThe work done on the object will cause a change in its velocity.Let its velocity change from u to v.Let a be the acceleration produced.

v²-u²=2as

s=v²-u²/2a

F =ma

W = ma× v²-u²/2a

W = mv²-u²/2a

u = 0 (as the object starts at rest)

Ek = 1/2 mv²

the work done, W is F s.W = F.S = ma sThe work done on the object will cause a change in its velocity.Let its velocity change from u to v.Let a be the acceleration produced.

v²-u²=2as

s=v²-u²/2a

F =ma

W = ma× v²-u²/2a

W = mv²-u²/2a

u = 0 (as the object starts at rest)

Ek = 1/2 mv²