A plastic ball falls on a floor with momentum p and then rebounds vertically. The process is repeated a number of times till the ball stops. If the coefficient of restitution is e, then what is the total momentum imparted by the plastic ball to the floor?

Q: A plastic ball falls on a floor with momentum p and then rebounds vertically. The process is repeated a number of times till the ball stops. If the coefficient of restitution is e, then what is the total momentum imparted by the plastic ball to the floor ?

(a) $ p \frac{1 + e}{1-e}$

(b) $ p \frac{e – 1}{e}$

(c) $ p \frac{1 – e}{1 + e}$

(d) $ p \frac{ e}{e – 1}$

Ans: (a)