Question

A machine gun fires a steady stream of bullets at the rate of $n$ per minute into a stationary target in which the bullets get embedded. If each bullet has a mass $m$ and arrives at the target with a velocity $v$, the average force on the target is

• A. $60mnv$
• B. $\frac{60v}{m}$
• C. $\frac{mnv}{60}$
• D. $\frac{mv}{60n}$

Answer 1

The correct option is C $\frac{mnv}{60}$

F = rate of change of linear momentum
In 1 s, $\frac{n}{60}$ bullets are embedded Momentum of each bullet is mv
$\therefore F=\left(\frac{n}{60}\right)mv$