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Answer 1

Question:

• A water pump raises 50 litres of water through a height of 25 m in 5s. Calculate the power which the pump supplies

Information provided with us:

• Quantity of water = 50 litres
• Height is 25 m
• Time taken is 5s
• g = 10 N kg-¹
• Density of water = 1000 kg m -³

What we have to calculate:

• Power which the pump supplies?

Finding out the volume of water:

• As we know that,

One litre contains = 1000 millilitres

So

• Volume = 50 × 10 × 10 × 10
• Volume = 50 × 10-³ m³

Finding out mass of water:

• In order to find the mass of water we have to multiply volume of water with density of water.
• As we already know about the density and volume of water so let's begin.

=> Mass of water = Volume of water × Density of water

=> Mass of water = 50 × 10-³ × 1000

• We have taken 1000 also because 1 litre contains 1000 millimetres

=> Mass of water = 50 kg

At last finding out power supplied:

Using Formula:

• Power = Work done / time taken

Again,

• Work done = mgh

Substituting the values:

• Power = 50 × 10 × 25 / 5
• Power = 10 × 10 × 25
• Power = 100 × 25
• Power = 2500

Hence,

• Power is 2500 W which pump supplies $\:$