Question

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)

Answer 1

W = 13,230,000 J

P = 22,050 W

Step-by-step 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.