Work Energy And Power Question 110

Question: A bullet of mass 50 gram is fired from a 5 kg gun with a velocity of 1km/s. the speed of recoil of the gun is [JIPMER 1999]

Options:

A) $ 5m/s $

B) $ 1m/s $

C) $ 0.5m/s $

D) $ 10m/s $

Show Answer

Answer:

Correct Answer: D

Solution:

According to conservation of momentum $ m _{B}v _{B}+m _{G}v _{G}=0 $

therefore $ v _{G}=-\frac{m _{B}v _{B}}{m _{G}} $

$ v _{G}=\frac{-50\times {10^{-3}}\times 10^{3}}{5}=-10m/s $



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