A bomb of mass 9 kg initially at rest explodes into fragments of 3 kg and 6 kg. The 3 kg fragment moves at 16 m/s. Find kinetic energy (J) of the 6 kg fragment.
Physics · Mixed Chapter
JEE Main Practice

Question

A bomb of mass 9 kg initially at rest explodes into fragments of 3 kg and 6 kg. The 3 kg fragment moves at 16 m/s. Find kinetic energy (J) of the 6 kg fragment.

G1 Physics · Accepted Answer

Step 1: Initial momentum is zero. Momentum conservation gives 3×16 + 6v₂ = 0. Step 2: v₂ = −48/6 = −8 m/s, opposite to smaller fragment. Step 3: Kinetic energy of 6 kg piece =½(6)(8²)=3×64=192 J.