Q. A bomb of mass 9 kg explodes into two pieces of masses 3 kg and 6 kg. The velocity of mass 3 kg is 16 $ms^{- 1}$. The kinetic energy of mass 6 kg in joule is
A) 96
B) 384
C) 192
D) 768
Explanation
(c) Momentum of 6 kg piece $p_{2} =$ momentum of 3 kg piece
$p_{1} = m_{1}v_{1} = 3 \times 16 = 48$ kg $ms^{- 1}$
Kinetic energy of 6 kg piece $K_{2} = \frac{p_{2}^{2}}{2m_{2}} = \frac{4 \times 48}{2 \times 8} = 192$ J.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.