Question

Consider elastic collision of a particle of mass $m$ moving with a velocity $u$ with another particle of the same mass at rest. After the collision the projectile and the stuck particle move in directions making angles ${\theta }_1$ and ${\theta }_2$ respectively with the initial direction of motion. The sum of the angles ${\theta }_1+{\theta }_2$ is

Answer 1

${\theta }_1=\frac{mV}{m+M}$

${\theta }_2=\frac{MV}{m+M}$

${\theta }_1+{\theta }_2=\frac{V}{m+1}(\frac{m}{1}+M)$