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BITSAT Physics Work Power Energy 2022 BITSAT 2022

BITSAT Physics Question (2022) — Solution

Question

A machine gun fires 300 bullets per min if the mass of each bullet is 10 ~g and the velocity of the bullets is 600 ~ms ^ -1 , the power (in kW ) of the gun is

Options

  1. A. 43200
  2. B. 9
  3. C. 72
  4. D. 7.2

Answer

B. 9

Step-by-step solution

Work done by the gun = total kinetic energy of the bullets aligned & =n 1 2 m v^2=300 1 2 10 10^ -3 (600)^2 \\ & =150 10 10^ -3 600 600 aligned aligned Power of gun & = work done Time taken \\ & = 150 10 10^ -3 600 600 60 ~s \\ & =9 ~kW ( 1 minute =60 seconds ) aligned

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