1.

Two block A and B of masses m and `2m` respectively are connected by a spring of spring cosntant k. The masses are moving to the right with a uniform velocity `v_(0)` each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a thrid block C of mass `2m`. at rest, the collision being completely inelastic. The velocity of centre of mass of system of block A, B, & C is -A. `v_(0)`B. `(3v_(0))/(5)`C. `(2v_(0))/(5)`D. `(v_(0))/(2)`

Answer» Correct Answer - (B)
`v_(cm) = (mv_(0) + 2mv_(0))/(m + 2m + 2m) = (3v_(0))/(5)`


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