# Two blocks  and  of masses  and 2  respectively, are connected with the help of a spring having spring constant,  as shown in fig. Initially, both the blocks are moving with same velocity  on a smooth horizontal plane with the spring in its natural length. During their course of motion, block  makes an inelastic collision with block  of mass  which is initially at rest. The coefficient of restitution for the collision is 1/2. The maximum compression in the spring is a) b) Will never be attained c) d)

## Question ID - 100513 | SaraNextGen Top Answer Two blocks  and  of masses  and 2  respectively, are connected with the help of a spring having spring constant,  as shown in fig. Initially, both the blocks are moving with same velocity  on a smooth horizontal plane with the spring in its natural length. During their course of motion, block  makes an inelastic collision with block  of mass  which is initially at rest. The coefficient of restitution for the collision is 1/2. The maximum compression in the spring is a) b) Will never be attained c) d)

Answer Key / Explanation : (d) -

(d)

For collision of and

Solving above equations, and

Now for blocks  and  plus spring system, using reduced mass concept, and applying work-energy theorem, let maximum compression in spring be  and at the time of maximum compression relative velocity of blocks be zero. Reduced mass is given by