Question

There are n bullets fired in 1 s by a gun. The mass of each of the bullets is m. If the speed of each of the bullets is v the average force of the recoil is

• A. $ \frac{mv}{n} $
• B. $ \frac{mv}{ng} $
• C. $ \frac{{{m}^{2}}{{v}^{2}}}{{{n}^{2}}} $
• D. nmv

Answer 1

Answer: (D)

As, the change of momentum for a bullet is mv Average time for the firing of one bullet $ =\frac{1}{n} $ second Now, average force $ =\frac{\Delta p}{\Delta t} $ $ =\frac{mv}{1/n}=mnv $