1.

An engine can pump 30,000 litres of water to a vertical height of 45 metre in 10 minutes.Calculate the work done by the machine and the power.(Density of water 103 kg/m3, 1000 litre 1 m3, g 9.8 m s-2)

Answer»

Mass of water which pumping by machine = 30000 x 10^-3 x 1000 kg =30000 kg

now, potential energy of water =- mgh =-30000 × 9.8 ×45 joule= -13230000 Joule

workdone by water =- potential energy =13230000 Joule=13230 kilojoule

power of machine =energy of machine/time =13230000 /10x 60=132300/6 =22050w=22.05 kw



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