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# The blocks and , each of mass , are connected by massless spring of natural length and spring constant . The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown in figure. A third identical block , also of mass , moves on the floor with a speed along the line joining and , and collides with . Then

- The KE o the system, at maximum compression of the spring, is zero
- The KE of the system, at maximum compression of the spring is
- The maximum compression of the spring is
- The maximum compression of the spring is

## The correct answer is: The maximum compression of the spring is

### The compression of spring is maximum when velocities of both blocks and is same. Let it be , then from conservation law of momentum

kinetic energy of system at that stage

Further loss in KE> = gain in elastic potential energy

,

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