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Question: Answered & Verified by Expert
A machine gun has a mass $5 \mathrm{~kg}$. It fires 50 gram bullets at the rate of 30 bullets per minute at a speed of $400 \mathrm{~ms}^{-1}$. What force is required to keep the gun in position?
PhysicsCenter of Mass Momentum and CollisionVITEEEVITEEE 2018
Options:
  • A $10 \mathrm{~N}$
  • B $5 \mathrm{~N}$
  • C $15 \mathrm{~N}$
  • D $30 \mathrm{~N}$
Solution:
2754 Upvotes Verified Answer
The correct answer is: $10 \mathrm{~N}$
$$
\begin{aligned}
\text { Force required }=\frac{\text { change in momentum }}{\text { time taken }} \\
=\frac{\left(50 \times 10^{-3} \times 30\right) \times 400-(5 \times 0)}{60}=10 \mathrm{~N}
\end{aligned}
$$

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