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A spring is compressed by a distance x and has a stationary ball of mass 3 kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is

1. 140 J
2. 100 J
3. 60 J
4. 40 J

Correct answer: 100 J

Solution

The loss in kinetic energy during a perfectly inelastic collision can be calculated using the formula for initial and final kinetic energies. Assuming the spring's potential energy is converted into the initial kinetic energy of the first ball, and the two balls stick together after collision, the loss in kinetic energy is 100 J.

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