AP Free Response Question
2009 B3 Form B
Printer Friendly Version
An underground pipe carries water of density 1000 kg/m
^{3}
to a fountain at ground level, as shown below. At point A, 0.50 m below ground level, the pipe has a cross-sectional area of 1.0 x 10
^{-4}
m
^{2}
. At ground level, the pipe has a cross-sectional area of 0.50 x 10
^{-4}
m
^{2}
. The water leaves the pipe at point B at a speed of 8.2 m/s.
(a) Calculate the speed of the water in the pipe at point A.
(b) Calculate the absolute water pressure in the pipe at point A.
(c) Calculate the maximum height above the ground that the water reaches upon leaving the pipe vertically at ground level, assuming air resistance is negligible.
(d) Calculate the horizontal distance from the pipe that is reached by water exiting the pipe at 60∞ from the level ground, assuming air resistance is negligible.
Topic Formulas
Description
Published Formula
actual pressure in a fluid
Bernoulli's Equation
buoyancy
Continuity Equation
mass density
pressure
uniform acceleration - displacement and instantaneous velocity
uniform acceleration - instantaneous position
uniform acceleration - instantaneous velocity
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Archimedes Principle #2
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Freefall
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Gases
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Non-Accelerated and Accelerated Motion
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Syringes and Vacuum Pumps
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Tossed Ball
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Pinched Bottle
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CB-ETS
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