An engine pumps 100 kg of water through a height of 10 m in 5 seconds. Given that the efficiency of the engine is 60%, what is the power of the engine
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Work done by the engine = negative of work done by gravity.
because kinetic energy remains constant.
So work done by engine = mgh = 10⁴ J
power = 0.2 * 10⁴ W = 2000 W
now the efficiency of engine is 60 %
which means that 60 % of the total power in used in pulling up the water.
thus
60 % of power = 2000 W
power = 10/6 * 2000 = 20000/6 = 3333.3 W
because kinetic energy remains constant.
So work done by engine = mgh = 10⁴ J
power = 0.2 * 10⁴ W = 2000 W
now the efficiency of engine is 60 %
which means that 60 % of the total power in used in pulling up the water.
thus
60 % of power = 2000 W
power = 10/6 * 2000 = 20000/6 = 3333.3 W
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