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Water is being pumped through a horizontal pipe that is 37.8 m long and 14.5 cm in diameter. A pump maintains a gauge pressure of 649 Pa at a large open tank at one end of the pipe. The other end of the pipe is open to the air. If this pipe is replaced by a second one of length 9 m and diameter 5.0 cm, what gauge pressure must the pump provide to give the same volume flow rate as for the first pipe?

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