Question

A rubber ball drops from a height h and after rebounding twice from the ground, it rises to h/2. The co - efficient of restitution is

• A. $\frac{1}{2}$
• B. $(\frac{1}{2}{)}^{\frac{1}{2}}$
• C. $(\frac{1}{2}{)}^{\frac{1}{4}}$
• D. $(\frac{1}{2}{)}^{\frac{1}{6}}$

Answer 1

Answer: (C)

$(\frac{1}{2}{)}^{\frac{1}{4}}$

$\sqrt{\frac{h_{n+1}}{h_n}}=e$

$h_2=e^{4}h$

$\Rightarrow \frac{1}{2}=e^4$

$e=(\frac{1}{2}{)}^{1/4}$