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Two blocks A and B of masses m and 2m, r...

Two blocks `A` and `B` 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 in the natural length during this motion. Block `B` collides head on with a third block `C` of mass `m`, at rest, the collision being completely inelastic. Calculate the maximum compression of the spring.

A

`v_(0)`

B

`(3v_(0))/(5)`

C

`(2v_(0))/(5)`

D

`(v_(0))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
(B)
`v_(cm) = (mv_(0) + 2mv_(0))/(m + 2m + 2m) = (3v_(0))/(5)`
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