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State and prove work-energy theorem....

State and prove work-energy theorem.

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Consider a body of mass m moving with velocity u by applying force F.
Let, u = Initial velocity of body
F = Applied force on body
a = Acceleration produced in body
Let the body acquires a velocity v after covering a distance S, then using `v^2 - u^2 = 2aS`, we get
`S = (v^2 - u^2)/(2a)`
Hence, work done by the force F is
`W = FS = ma xx ((v^2 - u^2))/(2a)`
`= 1/2 mv^2 - 1/2 m u^2 implies W = "Final K.E. - Initial K.E"`
or W= Final K. E. `Delta K`
It means, the amount of work done is equal to change in the kinetic energy.
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