A water pump has a power rating of 2 kW and an efficiency of 50 % . If it is used to lift water to a height of 10 m for 1 minute , the mass of water lifted by the pump is (Take g = 10 m/s ² )

Step-by-step solution

Total energy consumed by the pump in 1 minute is E_ in = P t E_ in = 2000 W 60 s = 120000 J Since the efficiency is 50 % , the useful work done by the pump is W_ out = 0.50 120000 = 60000 J This work is used to lift water against gravity, so W_ out = mgh 60000 = m 10 10 m = 600 kg Answer: 600 kg