AP Free Response Question
2008 Form B - B4
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A fountain with an opening of radius 0.015 m shoots a stream of water vertically from ground level at 6.0 m/sec. The density of water is 1000 kg/m
^{3}
.
(a) Calculate the volume rate of flow of water.
(b) The fountain is fed by a pipe that at one point has a radius of 0.025 meters and is 2.5 meters below the fountain’s opening. Calculate the absolute pressure in the pipe at this point.
(c) The fountain owner wants to launch the water 4.0 meters into the air with the same volume flow rate. A nozzle can be attached to change the size of the opening. Calculate the radius needed on this new nozzle.
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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Test #1: APC Review Sheet
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The Cemetary
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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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Burning Candle
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Crosswinds
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Fire Truck
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Floating 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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Chase Problems #2
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Chase Problems: Projectiles
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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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Constant Velocity: Velocity-Time Graphs #3
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CB-ETS
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