If a pump can lift 200 kg of water through a height of 6 m in 10 seconds, then its power is:
Correct answer: D. 1200 watts
- A. 1100 watts
- B. 1300 watts
- C. 1000 watts
- D. 1200 watts
Explanation
To calculate the power of the pump, we can use the formula: Power (P) = Work done (W) / Time taken (t) The work done by the pump is equal to the potential energy it imparts to the water: Work done (W) = Potential Energy (PE) = m * g * h where: m = mass of water lifted = 200 kg g = acceleration due to gravity = 10 m/s² h = height through which the water is lifted = 6 m So, Work done (W) = 200 kg * 10 m/s² * 6 m = 12000 kg m²/s² Now, let's calculate the power: Power (P) = Work done (W) / Time taken (t) = 12000 kg m²/s² / 10 s = 1200 watts Therefore, the power of the pump is 1200 watts.
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About Work and Energy
Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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