Question

A machine gun fires $360$ bullets per minute, each bullet moves with a velocity of $600m/s$. If the power of gun is $5.4kW$, mass of each bullet is:

• A. $5g$
• B. $0.5g$
• C. $0.5\times {10}^{3}g$
• D. $0.0025g$

Answer 1

The correct option is B $0.5g$

Power of gun= No. of bullets fired in 1 sec $\times$ Kinetic energy of each bullet

$5.4\times 1000=\frac{360}{60}\times \frac{1}{2}m(600{)}^2$

$m=0.5\times {10}^{-3}kg$

$m=0.5g$