Question

One sphere collides with another sphere of same mass at rest in elastically. If the value of coefficient of restitution is $\frac{1}{2}$, the ratio of their speeds after collision shall be

• A. 1 : 2
• B. 2 : 1
• C. 1 : 3
• D. 3 : 1

Answer 1

Answer: (C)

1 : 3

Answer 2

$\frac{v_{1}}{v_{2}} = \frac{1 - e}{1 + e} = \frac{1 - 1/2}{1 + 1/2} = \frac{1/2}{3/2} = \frac{1}{3}$.