A bullet of mass 50 gram is fired from a 5

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A bullet of mass $50$ gram is fired from a $5 \,kg$ gun with a velocity of $1km/s$. the speed of recoil of the gun is .......... $m/s$

A

$5$

B

$1$

C

$0.5$

D

$10$

A bullet of mass $50$ gram is fired from a $5 \,kg$ gun with a velocity of $1km/s$. the speed of recoil of the gun is .......... $m/s$

According to conservation of momentum
${m_B}{v_B} + {m_G}{v_G} = 0$ ==> ${v_G} = - \frac{{{m_B}{v_B}}}{{{m_G}}}$
${v_G} = \frac{{ - 50 \times {{10}^{ - 3}} \times {{10}^3}}}{5} = - 10\,m/s$