Question

A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be

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

Answer 1

Answer: (D)

$\frac{4}{3}v$

Answer 2

According to conservation of momentum

$m v = \left( \frac { m } { 4 } \right) v _ { 1 } + \left( \frac { 3 m } { 4 } \right) v _ { 2 }$ ⇒ $v _ { 2 } = \frac { 4 } { 3 } v$