Rotational Motion Question 117
Question: A ball falls vertically onto a floor with momentum $p$ , and then bounces repeatedly. If the coefficient of restitution is $e$ , then the total momentum imparted by the ball on the floor till the ball comes to rest is
Options:
A)$p(1+e)$
B)$\frac{p}{1-e}$
C)$p\left( 1+\frac{1}{e} \right)$
D)$p\left( \frac{1+e}{1-e} \right)$
Show Answer
Answer:
Correct Answer: D
Solution:
[d]
$\Delta p=(p+ep)+(ep+e^{2}p)+(e^{2}p+ep^{3})+…$ $=p(1+e)$1+e+e^{2}+…$=\frac{p(1+e)}{(1-e)}$
