A bullet of mass 5 ,g is shot from a gun of mass 5 ,kg . muzzle velocity of bullet is 500, m/s . rec

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4-1.Newton's Laws of Motion

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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 ........... $m/s$

A

$0.5$

B

$0.25$

C

$1$

D

Data is insufficient

Solution

(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$

Standard 11

Physics

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