AP Free Response Question
2008 B4
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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.
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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The Golf Game
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The Iceberg
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The Spring Phling
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2D Projectiles
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Archimedes Principle #1
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Archimedes Principle #2
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Dropped From Rest
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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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Up and Down
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Average Speed
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Back-and-Forth
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Balsa Wood and Rock
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Boat
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Buoyant Forces
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Crosswinds
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Deuterium Ice Cube
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Floating Wood
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Freely-Falling Elevator
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Headwinds
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Monkey Shooter
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Pendulum
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Pinched Bottle
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Ping-Pong Ball
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Projectile
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Styrofoam
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Submerged Ball
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Submerged Glass
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Verge of Sinking
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Advanced Properties of Freely Falling Bodies #2
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Advanced Properties of Freely Falling Bodies #3
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Charged Projectiles in Uniform Electric Fields
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Combining Kinematics and Dynamics
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Constant Velocity: Converting Position and Velocity Graphs
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Constant Velocity: Position-Time Graphs #1
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Constant Velocity: Position-Time Graphs #2
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Constant Velocity: Position-Time Graphs #3
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Constant Velocity: Velocity-Time Graphs #1
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Constant Velocity: Velocity-Time Graphs #2
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CB-ETS
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