Certain kinds of pumps work by creating a vacuum that ``sucks water up'' a rigid pipe. Unfortunately, these pumps can only lift water a certain distance before they mysteriously fail.
a) Your on-site construction boss has just called you into her office to either explain why they aren't getting any water out of the pump on top of the 25 meter high cliff even though they are using a pump that can maintain 10 atm of pressure difference between its intake and its output. Examine the schematic above and show why it cannot possibly deliver water that high. Your explanation should include an explicit calculation of the highest distance such a pump could lift water. Why is the notion that the pump sucks water up misleading? What really moves the water up?
b) If you answered a), you get to keep your job. If you answer b), you might even get a raise (or at least, get full credit on this problem)! Tell your boss where this single pump should be located to move water up to the top and how it should be hooked up.