A gun fires a bullet of mass 50 gm with a

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A gun fires a bullet of mass $50 \,gm$ with a velocity of $30\,m\,{\sec ^{ - 1}}$. Because of this the gun is pushed back with a velocity of $1\,m\,{\sec ^{ - 1}}$. The mass of the gun is .......... $kg$

A

$15$

B

$30$

C

$1.5 $

D

$20$

A gun fires a bullet of mass $50 \,gm$ with a velocity of $30\,m\,{\sec ^{ - 1}}$. Because of this the gun is pushed back with a velocity of $1\,m\,{\sec ^{ - 1}}$. The mass of the gun is .......... $kg$

${m_G} = \frac{{{m_B}{v_B}}}{{{v_G}}}$$\frac{{50 \times {{10}^{ - 3}} \times 30}}{1} = 1.5\;kg$