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  Solved  Paper-2005

A) \[v\]      

B)                        \[\sqrt{3}v\]                      

C)        \[\frac{2}{\sqrt{3}}v\]  

D)        \[\frac{v}{\sqrt{3}}\]

Correct Answer: C

Solution :

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