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Question

A tank of size $$10m\times10m\times10m$$ is full of water and built on the ground. If $$g = 10 \ ms^{-2}$$, the potential energy of the water in the tank is:


A
5×107 J
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B
1×108 J
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C
104 J
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D
105 J
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Solution

The correct option is B $$5\times10 ^{7}$$ J
The mass of $$1 cubic\ meter$$ of water $$= 1000kg$$

So, the mass of $$10\times10\times10$$ $$cubic\ meter$$ of water $$=$$ 
$$10^6$$ $$kg$$

So, $$PE =$$ $$mgh$$ $$=10^6$$ $$\times 10 \times 5$$,  ($$5 m$$ is the height of the mid point of the tank)

So, $$PE = 5 \times$$ $$10^7J$$

Physics

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