Question

A collision occurs between two identical balls each of mass $m$ , moving velocities ${\overrightarrow{u}}_1$ and ${\overrightarrow{u}}_2$ , colliding head-on. The coefficient of restitution is $0.5$. The energy lost in the collision is

• A. $\frac{1}{4}m{({\overrightarrow{u}}_1+{\overrightarrow{u}}_2)}^2$
• B. $\frac{1}{4}m{({\overrightarrow{u}}_1-{\overrightarrow{u}}_2)}^2$
• C. $\frac{3}{16}m{(\overrightarrow{u_1}-{\overrightarrow{u}}_2)}^2$
• D. $\frac{1}{16}m{({\overrightarrow{u}}_1-{\overrightarrow{u}}_2)}^2$

Answer 1

The correct option is C $\frac{3}{16}m{(\overrightarrow{u_1}-{\overrightarrow{u}}_2)}^2$

Hence, option $C$ is correct answer.