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 $