AP Free Response Question
2008 B4
A drinking fountain projects water at an initial angle of 50° above the horizontal, and the water reaches a maximum height of 0.150 m above the point of exit. Assume air resistance is negligible.
(a) Calculate the speed at which the water leaves the fountain.
(b) The radius of the fountain’s exit hole is 4.00 x 10
^{-3}
m . Calculate the volume rate of flow of the water.
(c) The fountain is fed by a pipe that at one point has a radius of 7.00 x 10
^{-3}
m and is 3.00 m below the fountain’s opening. The density of water is 1.0 x 10
^{3}
kg m
^{3}
. Calculate the gauge pressure in the feeder pipe at this point.
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