Answer to Question #145136 in Molecular Physics | Thermodynamics for nintendo

Question

A 10-gram bullet fired at 100 m/s collides with a block of wood at rest. The mass of the block is 490 grams. The collision is inelastic. What is the speed of the block and bullet after collision? (Unit in m/s)

Answer 1

Inelastic collision implies that after the interaction, the object previously separated move as one. So, applying conservation of momentum, we have:

$$mv+MV=(M+m)u,\\\space\\ u=\frac{mv+MV}{M+m}=\frac{0.01\cdot100+0.49\cdot0}{0.49+0.01}=2\text{ m/s}.$$