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Water is pumped through a pipe of diameter 16.0 cm from the Colorado River up to...

Water is pumped through a pipe of diameter 16.0 cm from the Colorado River up to Grand Canyon Village, on the rim of the canyon. The river is at 564 m elevation and the village is at 2101 m.

(a) At what minimum pressure must the water be pumped to arrive at the village? (The density of water is 1.00 ✕ 103 kg/m3.) MPa

(b) If 4100 m3 are pumped per day, what is the speed of the water in the pipe? m/s

(c) What additional pressure is necessary to deliver this flow?

Note: You may assume that the free-fall acceleration and the density of air are constant over the given range of elevations. kPa

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