Question

What is the velocity of centre of mass after the collision?

• A. $\overrightarrow{V_0}$
• B. $\frac{\overrightarrow{V_0}}{3}$
• C. $\frac{\overrightarrow{V_0}}{6}$
• D. $0$

Answer 1

The correct option is C $\frac{\overrightarrow{V_0}}{6}$

Velocity of center of mass before the collision $=\frac{M{v}_1+4M{v}_2+M{v}_3}{M+4M+M}$

$=\frac{0+0+M\overrightarrow{V_0}}{6M}$

$=\frac{\overrightarrow{V_0}}{6}$

Since, there is no external force acting on the system, the velocity of center of mass remains same before and after the collision.