Exam

AIIMS

Year

2001

Subject

Physics

Chapter

Center of Mass, Momentum and Collision

AIIMS 2001 · Physics · Center of Mass, Momentum and Collision

A body of mass M moving with velocity V explodes into two equal...

A body of mass $M$ moving with velocity $V$ explodes into two equal parts. If one comes to rest and the other body moves with velocity $v$, what would be the value of $v$ ?

Step-by-step solution

Before explosion, the total momentum of the system $=M V$ After explosion, the total momentum of the system =$\frac{M}{2} \times$0+$\frac{M}{2} \times$v=$\frac{M v}{2}$From the principal of momentum conservation,$$\begin{aligned}& M V=\frac{M v}{2}\\ \Rightarrow \quad & v=2 V \end{aligned}$$