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Two blocks M(1) and M(2) having equal ma...

Two blocks `M_(1)` and `M_(2)` having equal mass are free to move on a horizontal frictionless surface. `M_(2)` is attached to a massless spring as shown in figure. Initially `M_(2)` is at rest and `M_(1)` is moving toward `M_(2)` with speed `upsilon` and collides head-on with `M_(2)`.

A

While spring is fully compressed all the KE is `M_(1)` is stored as PE of spring

B

While spring is fully compressed the system momentum is not conserved though final momentum is equal to initial momentum

C

If spring is massless, the final state of the `M_(1)` is state of rest

D

If the surface on which blocks are moving has friction, the collison cannot be elastic

Text Solution

Verified by Experts

(c ) Consider the adjacent diagram when `M_(1)` comes in contact with the sprin, `M_(1)` is retarded by the spring force and `M_(2)` is accelerated by the spring force.
(a) The spring will continue to compress unitl the two blocks acquire common velocity.
(b) As surface are frictionless momentum of the system will be conserved.
(c ) If spring is massles whole energy of `M_(1)` will be imparted to `M_(2) and M_(1)` will be at rest, then
(d) Collision is inelastic even if friction is not involved
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