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I am stuck at this question ,

## Homework Statement

Two blocks of masses m=1kg and M =2kg are connected by a non-deformed light spring .They are lying on a rough horizontal surface . The coefficient of friction is 0.4 ,What minimun constant force has to be applied in the horizontal direction to the block m , in order to shift the order block M .

## Homework Equations

I came up with work energy conservation theorem

F.x = 1/2 kx^2 +f

_{1}.x + 1/2mv^2

(where F is external force

f

_{1}is force of friction on m. and v is velocity of mass m)

F-kx-f

_{1}=ma

_{1}

and when block M is just about to move kx=f

_{2}

(here f2 is force of friction on M

, its leading me nowhere .

Any help?