A water pump has a power rating of 2 kW. How much time will it take to lift 500 kg of water to an overhead tank situated at a height of 20 m? (Take g = 10 m/s ^2 )

Step-by-step solution

Given: Power of the pump, P = 2 kW = 2000 W Mass of water, m = 500 kg Height, h = 20 m Acceleration due to gravity, g = 10 m/s ^2 The work done against gravity is: W = mgh = 500 10 20 = 100000 J Power is the rate of doing work, P = W t . Rearranging for time t : t = W P = 100000 2000 = 50 s. Answer: 50 s