A gun fires a bullet of mass 50 g with a velocity of 30 m $s^{- 1}$ . Because of this, the gun is pushed back with a velocity of 1 m $s^{- 1}$ . What is the mass of the gun?

3.5 kg

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30 kg

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1.5 kg

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20 kg

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Solution

The correct option is C 1.5 kg
Given : $M_{b u l l e t} = 0.05 k g$ $v_{b u l l e t} = 30 m / s$

Recoil velocity of gun $V = 1 m / s$

Using $V = \frac{M_{b u l l e t} u_{b u l l e t}}{M_{g u n}}$

$∴ 1 = \frac{0.05 \times 30}{M_{g u n}}$

$⟹ M_{g u n} = 1.5 k g$

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