QJEEM23Ph6a6c: JEE Main 2023 Physics - Class 11 JEEM23Ph6a6c Solution: A machine gun of mass fires bullets at the rate of 180 bullets…

Question

Verified Solution • 2025–26 Session moderate

A machine gun of mass

10 \mathrm{~kg}

fires

20 \mathrm{~g}

bullets at the rate of 180 bullets per minute with a speed of

100 \mathrm{~m} \mathrm{~s}^{-1}

each. The recoil velocity of the gun is

Accepted Answer

Momentum of bullets per unit time

$= {{180 \times {{20} \over {1000}} \times 100} \over {60}}$ kg m/s $^2$

= 6 N

$\Rightarrow$ Force on gun = 6 N

We cannot calculate recoil velocity with the given data.

If we consider recoil velocity at $t = 1$ s, then

${V_{\mathrm{recoil}}} = u + at$

$= 0 + {6 \over {10}} \times 1$ = 0.6 m/s

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