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Q.

A cubical vessel of height 1 m is full of water. What is the amount of work done in pumping water out of the vessel? $(g = 10 m / s^{2})$

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a

1250 J

b

1000 J

c

5000 J

d

2500 J

answer is B.

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Detailed Solution

Volume of water, $v = (1)^{3} m^{3} = 1 m^{3}$

Density of water $ρ = 10^{3} {kgm}^{- 3}$

Mass of the water, $m = vρ = 10^{3} kg$ work done,

$W = mgh = 10^{3} \times 10 \times \frac{1}{2} = 5000 J$

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A cubical vessel of height 1 m is full of water. What is the amount of work done in pumping water out of the vessel? g=10 m/s2