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Water flows through two horizontal pipes that are connected one after another but located at different heights. There are pressure gauges on each of the pipes. The speed of the water through the lower pipe is 5.0 m/s. The two pipes have different diameters. The lower pipe has a diameter of 6 cm and the higher one 4 cm. Assume no viscous losses.
a. Draw a diagram of the situation and calculate the speed in the upper pipe.
b. What would happen to the gauge pressure in the upper pipe if the difference in height was increased? Justify your answer. The calculation of the gauge pressure is not required.
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