Question:
In an explosion, a body breaks into pieces of unequal masses. In this case:
In an explosion, a body breaks into pieces of unequal masses. In this case:
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In explosions, momentum is conserved, but the kinetic energy can be shared equally between parts depending on their masses and velocities.
Updated On: Apr 22, 2026
- both parts will have numerically equal momentum
- lighter part will have more momentum
- heavier part will have more momentum
- both parts will have equal kinetic energy
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The Correct Option is D
Solution and Explanation
Step 1: Conservation of momentum in explosion.
In an explosion, the total momentum of the system is conserved. If a body breaks into parts of unequal masses, the momentum of each part depends on its mass and velocity.
Step 2: Kinetic energy and mass relationship.
Kinetic energy \( K \) is given by: \[ K = \frac{1}{2} m v^2 \] where \( m \) is the mass and \( v \) is the velocity of the part. For unequal masses, the velocities of the parts may differ, but they will have equal kinetic energy.
Step 3: Conclusion.
Thus, the explosion ensures that both parts will have equal kinetic energy, despite having unequal masses and velocities.
In an explosion, the total momentum of the system is conserved. If a body breaks into parts of unequal masses, the momentum of each part depends on its mass and velocity.
Step 2: Kinetic energy and mass relationship.
Kinetic energy \( K \) is given by: \[ K = \frac{1}{2} m v^2 \] where \( m \) is the mass and \( v \) is the velocity of the part. For unequal masses, the velocities of the parts may differ, but they will have equal kinetic energy.
Step 3: Conclusion.
Thus, the explosion ensures that both parts will have equal kinetic energy, despite having unequal masses and velocities.
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