A body `X` with a momentum `p` collides with another identical stationary body `Y` one dimensionally. During the collision, `Y` gives an impulse `J` to body `X`. Then coefficient of restitution is

Options

A. `(2J)/p-1`
B. `J/P+1`
C. `J/P-1`
D. `J/(2P)-1`

Answer

A

Explanation

`u_(1)=p/m, u_(2)=0, c_(1)=((p-J))/m,v_(2)=J/m`
Now apply `e=(v_(2)-v_(1))/(u_(1)-u_(2))`