Two blocks 1 and 2 of masses m and 2m respectively are connected by a spring of force constant k. The masses are moving to the right with uniform velocity v each, the heavier mass, leading the lighter one. The spring is of natural length in the motion.Block 2 collides head on with a third block 3 of mass m, at rest, the collision being completely inelastic, Determine the velocity of blocks at the instant of maximum compression of the spring.
Collisionb/w blocks 2&3
2mv=(2m+m)V1
V1=2v3
Whey both the blocks have equal velocity the spring will has may compression.
Let velocity v0
Law of conservation of Momentum
m/v+3m/2v3=m/v0+3m/v0
So,V0=3v4