A bullet of mass 10 g is fired from a gun of mass 1 kg with recoil vel

1.	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
Answer» Correct option is: (D) 500 m/s Using conservation of linear momentum. \(m_1 \ v_1 = m_2 \ v_2\) \(v_1 = \frac{m_2 \ \times \ v_2}{m_1}\) \(v_1 = \frac{1 \times 5}{10 \times 10^{-3}}\) \(v_1 = \frac{5000}{10}\) \(v_1 = 500 \ m/s\) Correct option is: (D) 500 m/s

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

Answer»

Correct option is: (D) 500 m/s

Using conservation of linear momentum.

\(m_1 \ v_1 = m_2 \ v_2\)

\(v_1 = \frac{m_2 \ \times \ v_2}{m_1}\)

\(v_1 = \frac{1 \times 5}{10 \times 10^{-3}}\)

\(v_1 = \frac{5000}{10}\)

\(v_1 = 500 \ m/s\)

Correct option is: (D) 500 m/s