Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A pump lifts of water to a tank on a roof above the pump. ()
Potential energy , with measured from a level we choose. The change in between two heights is the same from any level, and it does not depend on the path.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) .
Step 2. (b) The pump must do at least this much work, ; a real pump does more, because some energy becomes heat.
Answer: , about , for both.
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