Water is pumped steadily out of a flooded basement at a speed of 5.5 m/s through a uniform hose of radius 1.0 cm. The hose passes out through a window to a street ditch 2.8 m above the waterline. What is the power of the pump?
The Attempt at a Solution
We find the flow which is the area multiplied by the speed. Then we find the power which is the flow x the height (2.8 m) x gravitational acceleration x 1000 (fluid density). At least that's what my friend told me I should do. I had an answer of 47.4129 W but the answer is seemingly wrong. Can someone help me here, please?