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Two bodies of masses m(1)and m(2) are co...

Two bodies of masses `m_(1)and m_(2)` are connected by a non-deformed light speing and lie on a horizontal plane. Coefficient of friction between the surface and the blocks is `mu.` Find an expression for the work done by the various foeces. Force F is applied horzontally to body of mass `m_(1)` in order to shift body of mass `m_(2).`

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Hint : Let the motion of `m_(2)` start when the spring is stretched by x slowly. Work done by various forces will involve 3 terms. `Fx(0mu m_(1)g)x and -(1)/(2)kx^(2)`
Let the motion of `m_(2)` start when one spring is slowly stretched by x slowly
Work done by various forces `=F.x - (mum_(1)g)x-(1)/(2)kx^(2)`
`="Change in KE = 0"`
where k is force constant of the spring.
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