Two blocks M1 and M2 having equal mass are free to move on a horizontal frictionless surface. M2 is attached to a massless spring as shown in Fig. 6.10. Initially M2 is at rest and M1 is moving toward M2 with speed v and collides head-on with M2.

Collision is elastic ∴ velocities gets interchanged and K.E. and
linear momentum remains conserved.
when
comes in contact with spring, it is retarded by the
spring force and
is accelerated by the spring force.
now let’s see the cases,
(a) the spring will compress until two blocks acquire common
velocities .some of the K.E. of
is stored as P.E. and
some into K.E. of
∴ (a) is incorrect.
(b)momentum is conserved. option (b) is incorrect.
(c) In head on elastic collision two bodies exchange their
velocities and so finally
will come to rest.
option (c) is correct.
(d) ∵ there is loss in K.E. when the blocks collide on rough
surface therefore, collision is inelastic. Option (d) is correct.
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