MCQ
A bullet of mass $5 \,g$ is shot from a gun of mass $5 \,kg$. The muzzle velocity of the bullet is $500\, m/s$. The recoil velocity of the gun is ........... $m/s$
- ✓$0.5$
- B$0.25$
- C$1$
- DData is insufficient
✓
Answer
Correct option: A.
$0.5$
a
(a)By the conservation of linear momentum ${m_B}{v_B} = {m_a}{v_a}$
(a)By the conservation of linear momentum ${m_B}{v_B} = {m_a}{v_a}$
$⇒ {v_G} = \frac{{{m_B} \times {v_B}}}{{{m_G}}} = \frac{{5 \times {{10}^{ - 3}} \times 500}}{5}$$ = 0.5\;m/s$
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