Question
How much water per minute a pump of power 2 kW can raise to a height of 10 m? (g = 10 m/s2) [Ans. 1200 kg]
Answer
Power (P) = 2 kW = 2000 W
Time (t) = 1 min = 60 s
Height (h) = 10 m
Step 1: Calculation of Work
Work (W) = m×g×h
= 10 × 10 × m
= 100 m
Power (P) = Work\over time
or, 2000 = 100 m\over 60
or, 100 m\over 60 = 2000
or, m = 2000 × 60\over 100
or, mass (m) = 1200 Kg