Question

If n bullets each of mass m are fired with a velocity v per second from a machine gun, the force required to hold the gun in position is

• A. $(n + 1) mv$
• B. $\frac{mv}{n^2}$
• C. $\frac{mv}{n}$
• D. $n^2 mv$
• E. mnv

Answer 1

Answer: (E)

Given, Mass of bullet $=m$,
Velocity of bullet $=V$
Number of bullet $=n$
We know that, force required to hold the gun in position i.e.
$F=\frac{\Delta P}{\Delta t}=n(m v)=m n v$