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## Homework Statement

A block of mass m is connected to another block of mass M by a massless spring of spring constant k. The blocks are kept on a smooth horizontal plane. Initially, the blocks are at rest and the spring is unstretched when a constant force F starts acting on the block of mass M to pull it. Find the max. extension of the spring.

## The Attempt at a Solution

I can find the answer working from the reference frame of COM of the system of 2 blocks and spring.

I am interested in finding it from ground frame.

Net force on M, F1 = F-kx, where x is the extension in the spring

Net force on m, F2 = kx

Let the displacements of the two blocks be x1 and x2.

F1x1 + F2x2 =0.5k(x2-x1)

^{2}(x2-x1 is the extension produced)

I am unable to find another equation.