An engine can pump $40, 000$ litres of water to a vertical height of $35$ metres in $5$ minutes. Calculate the gravitational potential energy of water at the given height.

39.2 \times 10^{4} J

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1.4 \times 10^{6} J

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1.37 \times 10^{7} J

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8.5 \times 10^{- 3} J

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Solution

The correct option is C $1.37 \times 10^{7} J$
Mass of water =density $\times$ volume
$= 1000 \times 40000 \times 0.001 = 40000 k g$
$P E = m g h$
$= 40000 \times 9.8 \times 35 = 1.37 \times 10^{7} J$

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An engine can pump 40,000 litres of water to a vertical height of 35 metres in 5 minutes. Calculate the gravitational potential energy of water at the given height.

The correct option is C 1.37×107JMass of water =density×volume=1000×40000×0.001=40000kgPE=mgh=40000×9.8×35=1.37×107J

An engine can pump $40, 000$ litres of water to a vertical height of $35$ metres in $5$ minutes. Calculate the gravitational potential energy of water at the given height.

The correct option is C $1.37 \times 10^{7} J$
Mass of water =density $\times$ volume
$= 1000 \times 40000 \times 0.001 = 40000 k g$
$P E = m g h$
$= 40000 \times 9.8 \times 35 = 1.37 \times 10^{7} J$