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A body of mass m moving with velocity 3 km/h collides with a body of mass 2 m at rest. Now the coalesced mass starts to move with a velocity

1. 1 km/h
2. 2 km/h
3. 3 km/h
4. 4 km/h

Correct answer: 2 km/h

Solution

Using the principle of conservation of momentum, the total momentum before collision equals the total momentum after collision. Initial momentum is m × 3 + 2m × 0 = 3m. After collision, the combined mass is 3m, and the velocity is v. Equating, 3m = 3m × v, so v = 1 km/h.

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