A mountain lake, 400 meters above sea level, holds 350,000 liters ofwater. A liter of water has a mass of 1 kg.How much potential energy does this lake posses?

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asked Nov 16, 2023 181k views

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A mountain lake, 400 meters above sea level, holds 350,000 liters ofwater. A liter of water has a mass of 1 kg.How much potential energy does this lake posses?

Physics
college

Rozenn asked

by Rozenn

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We will have that the potential energy that the lake possesses is:

$P=(350000lt\cdot\frac{1\operatorname{kg}}{1lt})(400m)\Rightarrow P=140000000\operatorname{kg}\cdot m$

So:

$P=140000000\operatorname{kg}\cdot m\cdot\frac{1J}{0.1019716213\operatorname{kg}\cdot m}\Rightarrow P=1372931000J$

So, the potential energy is 1372931000 Joules.

Lee Greco answered Nov 21, 2023

by Lee Greco

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