An engine can pump 30000 litres of water to a vertical height of 45 m in 10 minutes. Calculate the work done by the machine and its power. (g=9.8m/s2, Density ofwater=1000 kg/m3,1000 litre=1 m3)

Question

Mickey

Physics

18 December, 19:08

An engine can pump 30000 litres of water to a vertical height of 45 m in 10 minutes. Calculate the work done by the machine and its power. (g=9.8m/s2, Density ofwater=1000 kg/m3,1000 litre=1 m3)

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Answers (1)

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Callie Simon · Answer 1

W = 13,230,000 J

P = 22,050 W

Explanation:

Work = change in energy

W = ΔPE

W = mgΔh

W = ρVgΔh

W = (1000 kg/m³) (30,000 L * 1 m³ / 1000 L) (9.8 m/s²) (45 m)

W = 13,230,000 J

Power = work / time

P = (13,230,000 J) / (10 min * 60 s / min)

P = 22,050 W

Round as needed.