A pump raises 100 kg of water through 10 m in 20 seconds. Taking g as 10 m per second squared, its power output is

Correct answer: A. 500 W

  • A. 500 W
  • B. 1000 W
  • C. 200 W
  • D. 10000 W

Explanation

The work done is mgh, that is 100 multiplied by 10 multiplied by 10, giving 10,000 J, and dividing by 20 seconds gives 500 W. Forgetting to divide by the time leaves the 10,000 distractor, which is the energy rather than the power. The pump's input power would be higher than this, since no machine is fully efficient.

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About Power

Power is the rate at which work is done or energy is transferred, with average power calculated over a time interval and instantaneous power found from P = Fv when force and velocity are aligned. Work includes units, mechanical efficiency, and the distinction between power and total work or energy.

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