Question

An electric pump has 2 kW power. How much water will the pump lift every minute to a height of 10 m?

Answer 1

Here, P = 2 kW = 2 x 10³ watt, whereas t = 1 m = 60 seconds and h=10m. (g=9.8m/s²). Now, the amount of the water lifted by the pump is the mass of water(m).

Given the formula P = W /t = mgh / t and applying the given values to calculate,

2 x 10³= m x 9. 8 x 10 / 60

m x 9. 8 x 10= 2 x 10³ x 60

Hence, m = 2 x 10³ x 60 / 9. 8 x 10= 2 x 10² x 60 / 9.8= 12000/ 9.8 =1224.5 kg

Thus, the amount of water lifted by the pump is 1224.5 kg.