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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

AIIMS 2016 · Physics · Center of Mass, Momentum and Collision

A gun of mass 10 ~kg fires 4 bullets per second. The mass of each...

A gun of mass 10 kg10 \mathrm{~kg} fires 4 bullets per second. The mass of each bullet is 20 g20 \mathrm{~g} and the velocity of the bullet when it leaves the gun is 300 m s−1300 \mathrm{~m} \mathrm{~s}^{-1}. The force required to hold the gun when firing is

Options

  1. A6 N6 \mathrm{~N}
  2. B8 N8 \mathrm{~N}
  3. C24 N24 \mathrm{~N}
  4. D240 N240 \mathrm{~N}

Correct answer

C. 24 N24 \mathrm{~N}

Step-by-step solution

Momentum of one bullet, p=mvp=m v=20×10−3×300=6kgms−1N= number of bullet per sec =4∴dpdt= change of momentum per sec or force =N(p−0)=4×6=24N\begin{aligned} & =20 \times 10^{-3} \times 300=6 \mathrm{ kg} \mathrm{ m} \mathrm{ s}^{-1} \\ & N=\text{ number of bullet per sec }=4 \\ & \therefore \frac{d p}{d t}=\text{ change of momentum per sec or force } \\ & =N(p-0)=4 \times 6=24 \mathrm{ N} \\ & \end{aligned}$$
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