Laws Of Motion Question 43

Question: A bullet of mass 5 g is shot from a gun of mass 5 kg. The muzzle velocity of the bullet is 500 m/s. The recoil velocity of the gun is [DCE 2004]

Options:

A) 0.5 m/s

B) 0.25 m/s

C) 1 m/s

D) Data is insufficient

Show Answer

Answer:

Correct Answer: A

Solution:

By the conservation of linear momentum $ m _{B}v _{B}=m _{a}v _{a} $ therefore$ v _{G}=\frac{m _{B}\times v _{B}}{m _{G}}=\frac{5\times {{10}^{-3}}\times 500}{5} $

$ =0.5\ m/s $



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