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).`

Explanation

Let the motion of `m_(2)` start when the spring is strefched by x slowlt. Work done by various forces will involve 3 terms, F.x `(-um_(1)g)x and -1/2kx^(2)`
Let the motion of `m_(2)` start when one spring is solwe stretched by x slowly
Work done by various forces `=F.x-(mum_(1)g)x-1/2kx^(2)`
=Change in KE=0
Where k is force constant of the spring