AP Free Response Question
2007 B1
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An empty sled of mass 25 kg slides down a muddy hill with a constant speed of 2.4 m/sec. The slope of the hill is inclined at an angle of 15° with the horizontal as shown in the figure above.
(a) Calculate the time it takes the sled to go 21 meters down the slope.
(b) On the dot below that represents the sled, draw and label a free-body diagram for the sled as it slides down the slope.
(c) Calculate the frictional force on the sled as it slides down the slope.
(d) Calculate the coefficient of friction between the sled and the muddy surface of the slope.
(e) The sled reaches the bottom of the slope and continues on the horizontal ground. Assume the same coefficient of friction.
i. In terms of velocity and acceleration, describe the motion of the sled as it travels on the horizontal ground.
ii. On the axes below, sketch a graph of
speed v versus time t
for the sled. Include both the sled’ s travel down the slope and across the horizontal ground. Clearly indicate with the symbol
the time at which the sled leaves the slope.
Topic Formulas
Description
Published Formula
friction
gravitational potential energy
Hooke's Law
Newton's 2nd Law
Newton's Law of Universal Gravitation
uniform acceleration - displacement and instantaneous velocity
uniform acceleration - instantaneous position
uniform acceleration - instantaneous velocity
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Advanced Gravitational Forces
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Air Resistance
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Analyzing SVA Graph Combinations
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Average Velocity - A Calculus Approach
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Comparing Constant Velocity Graphs of Position-Time & Velocity-Time
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Constant Velocity: Position-Time Graphs
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Derivation of the Kinematics Equations for Uniformly Accelerated Motion
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Derivatives: Instantaneous vs Average Velocities
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Directions: Flash Cards
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Forces Acting at an Angle
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Freebody Diagrams
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Freefall: Horizontally Released Projectiles (2D-Motion)
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Freefall: Projectiles in 1-Dimension
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Freefall: Projectiles Released at an Angle (2D-Motion)
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Gravitational Energy Wells
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Inclined Planes
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Inertial vs Gravitational Mass
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Monkey and the Hunter
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Newton's Laws of Motion
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Non-constant Resistance Forces
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Properties of Friction
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Springs and Blocks
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Springs: Hooke's Law
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Static Equilibrium
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Summary: Graph Shapes for Constant Velocity
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Summary: Graph Shapes for Uniformly Accelerated Motion
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SVA: Slopes and Area Relationships
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Systems of Bodies
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Tension Cases: Four Special Situations
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The Law of Universal Gravitation
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Universal Gravitation and Satellites
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Universal Gravitation and Weight
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Vector Resultants: Average Velocity
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What is Mass?
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Work and Energy
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Test #1: APC Review Sheet
Worksheet:
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Hackensack
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The Baseball Game
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The Big Mac
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The Box Seat
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The Cemetary
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The Golf Game
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The Jogger
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The Spring Phling
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2D Projectiles
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Action-Reaction #1
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Action-Reaction #2
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Dropped From Rest
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Equilibrium on an Inclined Plane
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Falling and Air Resistance
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Force and Acceleration
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Force and Weight
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Force Vectors and the Parallelogram Rule
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Freebody Diagrams
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Freefall
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Gravitational Interactions
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Incline Places: Force Vector Resultants
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Incline Planes - Force Vector Components
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Inertia
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Mobiles: Rotational Equilibrium
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Net Force
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Newton's Law of Motion: Friction
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Non-Accelerated and Accelerated Motion
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Static Equilibrium
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Tensions and Equilibrium
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Tossed Ball
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Up and Down
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Acceleration
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Air Resistance #1
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An Apple on a Table
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Apex #1
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Apex #2
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Average Speed
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Back-and-Forth
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Crosswinds
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Falling Rock
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Falling Spheres
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Friction
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Frictionless Pulley
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Gravitation #1
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Head-on Collisions #1
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Head-on Collisions #2
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Headwinds
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Ice Boat
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Monkey Shooter
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Pendulum
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Projectile
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Rotating Disk
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Sailboats #1
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Sailboats #2
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Scale Reading
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Settling
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Skidding Distances
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Spiral Tube
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Tensile Strength
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Terminal Velocity
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Tug of War #1
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Tug of War #2
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Two-block Systems
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Accelerated Motion: Analyzing Velocity-Time Graphs
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Accelerated Motion: Graph Shape Patterns
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Accelerated Motion: Practice with Data Analysis
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Advanced Properties of Freely Falling Bodies #1
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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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Average Speed and Average Velocity
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Average Speed Drill
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Calculating Force Components
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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: Position-Time Graphs #2
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Constant Velocity: Position-Time Graphs #3
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Constant Velocity: Velocity-Time Graphs #3
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Energy Methods: Projectiles
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Projectile Summary
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Projectiles Released at an Angle
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Set 3A: Projectiles
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CB-ETS
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