momentum

Question

A body of mass 2 kg moving with a velocity of 10 m/s collides with another body of mass 3 kg at rest. If they stick together after collision, what is their common velocity?

RankGuru · Accepted Answer

1. **Collision Type**: This is a 'completely inelastic collision' where kinetic energy is not conserved, but momentum is.
2. **Momentum Before**: $m_1 u_1 + m_2 u_2 = (2 	imes 10) + (3 	imes 0) = 20$ kg·m/s.
3. **Momentum After**: $(m_1 + m_2) v = (2 + 3) v = 5v$.
4. **Conservation Law**: $5v = 20$.
5. **Result**: $v = 4$ m/s.

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