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A town in the middle-of-nowhere is built up around a large 100 meter hill. Since the hill is in the center of a town, it is proposed at a town-hall meeting that a water tower be placed at the top of the hill. However, the town barber points out that when water flows through a pipe there is a great amount of resistance owing to viscosity and turbulent mixing of the uid. He estimates that the gauge pressure in the pipe at the bottom of the hill must be at least 100 kPa in order for water to make it to the outskirts of town. Find what the gauge pressure would be at the bottom of the hill.

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