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

B

Explanation

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