Question

A body of mass $M$ moving with velocity $v \, m \, s^{- 1}$ suddenly breaks into two pieces. One part having mass $\frac{M}{4}$ remains stationary. The velocity of the other part will be

• A. $v$
• B. $2v$
• C. $\frac{3 v}{4}$
• D. $\frac{4 v}{3}$

Answer 1

Answer: (D)

$Mv=\frac{M}{4}v_{1}+\frac{3}{4}Mv_{2}$
$\Rightarrow Mv=\frac{3}{4}Mv_{2} \, \left(\right.\text{As}v_{1}=0\left.\right)$
$\Rightarrow v_{2}=\frac{4 v}{3}$