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Niagara Falls has an average height of 45 m. The Sir Adam Beck Power Stations I and II together generate up to 1926 MW (megawatts, or 10^6 W). Assuming that 1 litre of water has a mass of 1 kg, what volume of water is required to go over the falls every second to generate this much electricity.

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Respuesta :

h = average height of Niagara falls = 45 m

P = power generated by Stations I and II together = 1926 MW = 1926 x 10⁶ Watt

m = mass of water required to go over the falls

g = acceleration due to gravity

t = time =  1 sec

Power generated is given as

Power generated = potential energy lost/time

P = mgh/t

1926 x 10⁶ = m (9.8) (45)/1

m = 1926 x 10⁶ /(9.8 x 45)

m = 4.4 x 10⁶ kg

it is given that , 1 kg = 1 litre

hence

hence Volume of water = V = 4.4 x 10⁶ litre

amna04352

Answer:

4.36 × 10⁶ litres

Explanation:

Power = workdone/time

1926×10⁶ = (m×9.81×45)/1

m = 4.362895005 × 10⁶ kg

Volume = 4.362895005 × 10⁶ litres

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