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BITSAT 2022
Exam
BITSAT
Year
2022
Subject
Physics
Chapter
Work, Power and Energy

BITSAT 2022 · Physics · Work, Power and Energy

A machine gun fires 300 bullets per if the mass of each bullet is...

A machine gun fires 300 bullets per min⁡\mathrm\min if the mass of each bullet is 10g10 \mathrm{ g} and the velocity of the bullets is 600ms−1600 \mathrm{ ms}^{-1}, the power (in kW\mathrm{kW} ) of the gun is

Options

  1. A4320043200
  2. B99
  3. C7272
  4. D7.27.2

Correct answer

B. 99

Step-by-step solution

Work done by the gun = total kinetic energy of the bullets =n12mv2=300×12×10×10−3×(600)2=150×10×10−3×600×600\begin{aligned}& =n \frac{1}{2} m v²=300 \times \frac{1}{2} \times10 \times10^{-3} \times(600)^2 \\ & =150 \times10 \times10^{-3} \times600 \times600 \end{aligned} Power of gun = work done  Time taken =150×10×10−3×600×60060s=9kW(∵1 minute =60 seconds )\begin{aligned}\text{ Power of gun }& =\frac{\text{ work done }}{\text{ Time taken }}\\ & =\frac{150 \times 10 \times 10^{-3} \times 600 \times 600}{60 \mathrm{ s}}\\ & =9 \mathrm{ kW} \quad(\because1 \text{ minute }=60 \text{ seconds }) \end{aligned}$
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