Question

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Answer 1

Question:- Calculate the power required  by a water pump if it can lift 30 litre of water up to height of 20 m in  5 sec. Density of water is 1gm/cm³ = 1000kg/m³

Answer: 600 Watt.

Explanation: While lifting   water upto some height pump has to work against gravitation force and the energy given by pump to water for lifting it  upto 20m, will be conserved in the water in  form of potential energy.

Given,

h = 20 m

Density of water = 1000 kg/m³

Volume of water = 50 litre

We know that,

1 litre = 1/1000 m³

∴ 15 litre = 15/1000 m³

Volume of water = 15/1000 m³

Mass(m) = Volume × Density

Mass = (15/1000) × 1000

Mass = 15 kg

We know that,

Potential Energy(W) = mgh

W = 15 × 10 × 20

W = 3000 Joule

Power = W/t

Power = 3000/5

Power = 600 Watt.

(Note:- The given density is very large, even if compared to any other liquid. Hence there may be mistake in the question you have written and we have corrected question.)

Answer 2

Hola ⚘⚘

Answer:

600watt

Explanation:

Given: height of water pumped = 20m; density of water = 1000 kg/m^3,

As we know that 1 litre = 1/1000 m^3

>> mass = volume*density

>> mass = (15/1000)*1000

>> mass = 15kg

>>potential energy = mgh

>> potential energy = 15*10*20

>> potential energy = 3000j

>> power = work/. time

>> power = 3000/5

>> power = 600watt

∴ required power is 600watt