Question

On a day with no wind a fountain in Switzerland propels 30,000kg of water per minute to a height of 140m. Calculate the power used in raising the water

Answer 1

Answer:686,000

watt

Explanation:given

m=30,000kg

H=140m

Time=1minute

power=work/time

Work=mgh

=30,000*9.8*140

=41,160,000 j

So,

Power=work/time

=41,160,000/60

=686,000 watt

Answer 2

The power used in raising the water is 686 kW.

Explanation:

Given that,

Mass, m = 30,000 kg

Time, t = 1 min = 60 s

Height, h = 140 m

The power used in raising the water is given by :

$P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{30000\times 9.8\times 140}{60}\\\\P = 686000\ W\\\\P = 686\ kW$

So, the power used in raising the water is 686 kW. Hence, this is the required solution.

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