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A block of mass 2kg slides on a friction...

A block of mass 2kg slides on a frictionless table with with a speed of `10 ms^(-1)`. Directly in front of it and moving in the same direction is a block of mass 5 kg moving at `3 ms^(-1)`. A massless spring with force constant `k = 1120 Nm^(-1)` is attached to its back (the side facing 2 kg mass) When the blocks collide, what is the maximum compression of the spring ?
[Hint : Apply 'work energy' theorem to the system of block and principle of conservation of momentum]

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The correct Answer is:
0.25 m
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