question_answer

A mass m moves with a velocity v and collides   inelastically   with   another identical mass. After collision the 1st mass moves with velocity\[\frac{v}{\sqrt{3}}\]in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision.                             [AIEEE 2005]

A) \[v\]

B) \[\sqrt{3}v\]        

C) \[\frac{2}{\sqrt{3}}v\]

D) \[\frac{v}{\sqrt{3}}\]

Correct Answer: C

Solution :

[c] For all the types of collision, the momentum of all the colliding bodies is constant. To find the velocity of a body we will add all the components of velocities vectorially if needed.

In x-direction,

In y-direction,

Velocity of second mass after collision