Explanation:
Conservation of linear momentum
gives \({m_1}{v_1} + {m_2}{v_2} = 0\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{m_1}{v_1} = - {m_2}{v_2}\)
\( \Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{v_1} = \frac{{ - {m_2}{v_2}}}{{{m_1}}}\)
Given, \(\quad {m_1} = 10\;g = \left( {\frac{{10}}{{1000}}} \right)kg\)
\({m_2} = 1\;kg\) and \({v_2} = - 5\;m/s\)
\(\therefore\) Velocity of muzzle,
\({v_1} = \frac{{ + 1 \times 5}}{{10/1000}} = 500\;m/s\)