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Calculate the potential energy of $100 kg$ water in a tank at an altitude of $20 m$ . Take $g = 10 m / s^{2} .$

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10 kJ

40 kJ

30 kJ

20 kJ

answer is D.

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Detailed Solution

The potential energy of the water in a tank is

20 kJ

.
Given, the mass of water

m = 100 kg

Height of water tank

h = 20 m

We know that the Potential energy of an object at a height is given by

mgh

, where

g

is the acceleration due to gravity.

\Rightarrow P . E . = mgh

⇒

P . E . = 100 \times 10 \times 20

⇒

P . E . = 20000 J

⇒

P . E . = 20 kJ

Therefore, the potential energy of the water in a tank is

20 kJ

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