A machine gun fires a bullet of mass $40 \mathrm{~g}$ with a velocity $1200 \mathrm{~ms}^{-1}$. The man…

A machine gun fires a bullet of mass $40 \mathrm{~g}$ with a velocity $1200 \mathrm{~ms}^{-1}$. The man holding it can exert a maximum force of $144 \mathrm{~N}$ on the gun. How many bullets can he fire per second at the most?
  1. one
  2. four
  3. two
  4. three

Solution

Change in momentum for each bullet fired is $ =\frac{40}{1000} \times 1200=48 \mathrm{~N} $ If a bullet fired exerts a force of $48 \mathrm{~N}$ on man's hand so $\rho$ man can exert maximum force of $144 \mathrm{~N}$, number of bullets that can be fired $=144 / 48=3$ bullets

Asked in: JEE Main 2004

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