Question

A bomb of mass 16 kg at rest explodes into two pieces of mass 4kg and 12 kg. The velocity of the 12 kg mass is $4m{s}^{-1}$ . The kinetic energy of the other mass is -

• A. 192 J
• B. 96 J
• C. 144 J
• D. 288 J

Answer 1

The correct option is D 288 J

By momentum conservation:-

$4V=12\times 4$

$V=12m/sec$

$KE=\frac{1}{2}\times 4\times (12{)}^2$

$=288$J

Option D.