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A water pump raises 50 litres of water through a height of 25m in 5 s. Calculate the power of the pump required.
A water pump raises 50 litres of water through a height of 25m in 5 s. Calculate the power of the pump required.
Class 10 | ICSE | Physics | Selina | Work Energy
A water pump raises 50 litres of water through a height of 25m in 5 s. Calculate the power of the pump required.

(Take g= 10N kg-1 and density of water =1000kg m-3).

Solutions:

According to the question –

Volume of water is 50 L

Which when expressed in m3 becomes  50 × 10-3 m3

Density of water is 1000 kgm-3

We know that expression  for density is –

Density = Mass / Volume

So, expression for mass becomes –

Mass of water = Volume of water × density of water = 50 × 10-3 × 1000

Mass of water = 50 kg

Now, the work done in raising 50 kg water to a height of 25 m against the force of gravity is calculated by making use of the following expression –

W = mg × h = mgh

Then, expression for Power P becomes,

Power  = (work done) / (time taken) = mgh / t

= 50 × 10 × 25J / 5 s

Power = 2500W

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