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 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 ........... $m/s$
$0.5$
$0.25$
$1$
Data is insufficient
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 ........... $m/s$
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$