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A pump lifts 250 kg of water to a height of 12 m in 2 minutes. Calculate the power dissipated by the pump.

Physics

ScanSolve AI Answer

Answer

250 W\text{250 W}

Step-by-step solution

3 steps
  1. Convert the time from minutes to seconds.

    t=2 minutes×60secondsminute=120 st = 2 \text{ minutes} \times 60 \frac{\text{seconds}}{\text{minute}} = 120 \text{ s}
  2. Calculate the work done by the pump to lift the water.

    Work done (WW) is equal to the potential energy gained by the water.

    W=mghW = mgh W=250 kg×10ms2×12 mW = 250 \text{ kg} \times 10 \frac{\text{m}}{\text{s}^2} \times 12 \text{ m} W=30000 JW = 30000 \text{ J}
  3. Calculate the power dissipated by the pump.

    Power (PP) is work done divided by time.

    P=WtP = \frac{W}{t} P=30000 J120 sP = \frac{30000 \text{ J}}{120 \text{ s}} P=250 WP = 250 \text{ W}

    The power dissipated by the pump is 250 W\text{250 W}.

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