Question

A particle of mass $m$ moving eastward with a velocity $V$ collides with another particle of the same mass moving north wards with the same speed $V$. The two particles coalesce on collision. After collision, the new particle moves in north-east direction. Calculate the velocity and direction of the new particle after collision.

Answer 1

x component

$mv=2mvf\cos 45$

$vf=\frac{v}{\sqrt{2}}$

y component

$mv=2mvf\sin 45$

$vf=\frac{v}{\sqrt{2}}$