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A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to -

1. 44 %
2. 50 %
3. 56 %
4. 62 %

Correct answer: 56 %

Solution

In a perfectly inelastic collision, the two particles stick together, resulting in a loss of kinetic energy due to the conversion of some kinetic energy into other forms of energy. By calculating the initial and final kinetic energies, we find that the percentage loss in energy is approximately 56%, which reflects the significant energy transformation during the collision.

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