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) 
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) 
(d)
For collision of and
Solving above equations, and
Now for blocks and plus spring system, using reduced mass concept, and applying workenergy 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