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By conservation of linear momentum, the magnitude of the momentum of the heavier piece of mass (2m) is equal to the magnitude of the vector sum of the momentum of each piece of mass (m). What is the total kinetic energy generated?

1. mv²
2. 2mv²
3. mv² + 2mv²
4. mv² + mv²

Correct answer: mv² + 2mv²

Solution

By conservation of momentum, the momentum of the heavier piece (2m) is equal in magnitude and opposite in direction to the vector sum of the momenta of the two lighter pieces (m each). The total kinetic energy is the sum of the kinetic energies of all pieces, which is mv² + 2mv².

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