A bullet of mass 10 g is fired from a gun of mass 1 kg with recoil velocity of gun = 5 m/s. The muzzle velocity will be
A bullet of mass 10 g is fired from a gun of mass 1 kg with recoil velocity of gun = 5 m/s. The muzzle velocity will be
(A) 30 km/min
(B) 60 km/min
(C) 30 m/s
(D) 500 m/s
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Correct option is: (D) 500 m/s
Using conservation of linear momentum.
\(m_1 \ v_1 = m_2 \ v_2\)
\(v_1 = \frac{m_2 \ \times \ v_2}{m_1}\)
\(v_1 = \frac{1 \times 5}{10 \times 10^{-3}}\)
\(v_1 = \frac{5000}{10}\)
\(v_1 = 500 \ m/s\)
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