Question

A machine gun is mounted on a $2000kg$ vehicle on a horizontal smooth road (friction negligible). The gun fires $10$ bullets per sec with a velocity of $500m/s$ . If the mass of each bullet be $10g$ , what is the acceleration produced in the vehicle?

• A. $25cm/s^2$
• B. $0.025m/s^2$
• C. $0.50cm/s^2$
• D. $50m/s^2$

Answer 1

The correct option is B $0.025m/s^2$

The momentum of each bullet is given as,

$P_b=m_b{v}_b$

$=10\times {10}^{-3}\times 500$

$=5kgm/s$

The force on the vehicle will be equal to change in momentum in $1sec$.

The force is given as,

$F=n{P}_b$

$=10\times 5$

$=50N$

The acceleration of the vehicle is given as,

$a=\frac{F}{m_v}$

$=\frac{50}{2000}$

$=0.025m/s^2$

Thus, the acceleration produced in the vehicle is $0.025m/s^2$.