Question
A bomb at rest explodes into two pieces of unequal
masses. Which of the following is necessarily true about the motion of the fragments?Solution
When a bomb at rest explodes into two pieces, momentum is conserved . Initially, the total momentum is zero , so after the explosion, the vector sum of the momenta of the two fragments must also be zero . Let:
- Masses of fragments = m1​ and m2
- Velocities after explosion = v1​ and v2
- The momenta are equal and opposite.
- The heavier fragment will have lower speed than the lighter one to maintain this equality.
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