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AP Physics 1: Algebra

Study notes
1.1.1 Scalars and Vectors: What Is the Difference?
1.1.2 How to Draw and Notate One-Dimensional Vectors
1.1.3 Common Scalar and Vector Quantities in Kinematics
1.1.4 Adding Vectors in One Dimension
1.2.1 Modeling an Object as a Point
1.2.2 Displacement: Change in Position
1.2.3 Average Velocity
1.2.4 Average Acceleration
1.2.5 What It Means for an Object to Accelerate
1.2.6 Average and Instantaneous Motion
1.3.1 Different Ways to Represent Motion
1.3.2 The Three Constant-Acceleration Kinematic Equations
1.3.3 Free Fall Near Earth's Surface
1.3.4 Position-Time Graphs and Instantaneous Velocity
1.3.5 Velocity-Time Graphs: Slope and Area
1.3.6 Acceleration-Time Graphs and Change in Velocity
1.3.7 AP Physics 1 Limits for Motion Analysis
1.4.1 What a Reference Frame Does
1.4.2 Converting Measurements Between Reference Frames
1.4.3 Relative Velocity in One Dimension
1.4.4 Inertial Frames and Relative Motion Limits
1.5.1 Resultant Vectors and Perpendicular Components
1.5.2 Choosing a Coordinate System for Components
1.5.3 Using Trigonometry to Resolve Vectors
1.5.4 Breaking Two-Dimensional Motion into Components
1.5.5 Projectile Motion as Two-Dimensional Motion
2.1.1 Describing a System in Physics
2.1.2 Modeling a System as One Object
2.1.3 Systems, Environment, and Transfers
2.1.4 Internal Structure and Changing Subsystems
2.1.5 Finding Center of Mass
2.1.6 Center of Mass as a Single-Object Model
2.2.1 Forces as Interactions Between Objects
2.2.2 Contact Forces and What Causes Them
2.2.3 Reading and Drawing Free-Body Diagrams
2.2.4 Forces as Vectors from the Center of Mass
2.2.5 Choosing Axes for Easier Force Equations
2.3.1 Newton's Third Law Force Pairs
2.3.2 Internal Forces and Center-of-Mass Motion
2.3.3 Tension in Ideal Strings and Pulleys
2.3.4 Tension in Real Strings and AP Limits
2.3.5 Action at a Distance in AP Physics 1
2.4.1 Net Force as a Vector Sum
2.4.2 Translational Equilibrium
2.4.3 Constant Velocity and Newton's First Law
2.4.4 Balanced in One Direction, Unbalanced in Another
2.4.5 Inertial Reference Frames
2.5.1 Unbalanced Forces and Motion Changes
2.5.2 Newton's Second Law and Acceleration
2.5.3 External Net Force and Changing Velocity
2.6.1 Universal Gravitation Between Masses
2.6.2 Gravitational Fields and Field Strength
2.6.3 Weight Near Earth
2.6.4 When Gravity Can Be Treated as Constant
2.6.5 Apparent Weight and the Normal Force
2.6.6 Weightlessness and the Equivalence Principle
2.6.7 Inertial Mass and Gravitational Mass
2.7.1 Kinetic Friction and Relative Motion
2.7.2 What Kinetic Friction Depends On
2.7.3 Normal Force and Material Properties
2.7.4 Static Friction Before Sliding Starts
2.7.5 Maximum Static Friction
2.7.6 Comparing Static and Kinetic Friction
2.8.1 Ideal Springs and Stretching
2.8.2 Hooke�s Law
2.8.3 Spring Force Direction and Equilibrium
2.9.1 Centripetal Acceleration in Circular Motion
2.9.2 Forces That Cause Circular Motion
2.9.3 Minimum Speed at the Top of a Loop
2.9.4 Circular Motion on Banked Curves and Conical Pendulums
2.9.5 Tangential and Net Acceleration
2.9.6 Period, Frequency, and Uniform Circular Motion
2.9.7 Circular Orbits and Kepler's Third Law
3.1.1 What Translational Kinetic Energy Means
3.1.2 How Mass and Speed Affect Kinetic Energy
3.1.3 Why Kinetic Energy Is a Scalar
3.1.4 Kinetic Energy and Frames of Reference
3.2.1 Work as Energy Transfer
3.2.2 Conservative and Nonconservative Forces
3.2.3 Calculating Work from Force and Displacement
3.2.4 Positive, Negative, and Zero Work
3.2.5 The Work-Energy Theorem
3.2.6 Configuration Changes, Friction, and Force-Displacement Graphs
3.3.1 Potential Energy Belongs to a System
3.3.2 Scalar Potential Energy and the Choice of Zero
3.3.3 Elastic Potential Energy in an Ideal Spring
3.3.4 Gravitational Potential Energy Near and Far
3.3.5 Total Potential Energy in Multi-Object Systems
3.4.1 What Energies a System Can Have
3.4.2 Mechanical Energy and Energy Accounting
3.4.3 Choosing a System for Conservation of Energy
3.4.4 Work, Transfers, and Dissipation
3.5.1 Power as the Rate of Energy Change
3.5.2 Average Power from Energy Transfer
3.5.3 Average Power from Work Done
3.5.4 Instantaneous Power from Force and Velocity
4.1.1 What Is Linear Momentum?
4.1.2 Momentum as a Vector
4.1.3 Using Momentum to Study Collisions
4.1.4 Using Momentum to Study Explosions
4.2.1 Force as the Rate of Change of Momentum
4.2.2 Defining Impulse
4.2.3 Impulse on Graphs
4.2.4 Momentum Change and the Impulse–Momentum Theorem
4.2.5 Linking Impulse to Newton’s Second Law
4.3.1 Center of Mass and System Motion
4.3.2 Total Momentum of a System
4.3.3 Internal Interactions and Equal-and-Opposite Impulses
4.3.4 Choosing a System for Momentum Conservation
4.3.5 Using Conservation in Collisions and Explosions
4.4.1 What Makes a Collision Elastic?
4.4.2 Kinetic Energy Distribution in Elastic Collisions
4.4.3 Inelastic and Perfectly Inelastic Collisions
4.4.4 Where the Lost Kinetic Energy Goes
5.1.1 Angular Displacement and Radians
5.1.2 Rigid Systems and Direction Conventions
5.1.3 Average Angular Velocity
5.1.4 Average Angular Acceleration
5.1.5 Rotational Motion and Its Linear Analogy
5.1.6 Constant Angular Acceleration Equations and Graphs
5.2.1 Arc Length from Angular Displacement
5.2.2 Tangential Speed and Angular Speed
5.2.3 Tangential Acceleration and Angular Acceleration
5.2.4 Same Rotation, Different Linear Motion
5.3.1 What Creates Torque?
5.3.2 Lever Arm and Turning Effect
5.3.3 Using Force Diagrams for Rigid Systems
5.3.4 Calculating Torque Magnitude
5.4.1 Rotational Inertia as Resistance to Change
5.4.2 Rotational Inertia of a Single Object
5.4.3 Total Rotational Inertia of a System
5.4.4 Why Mass Farther from the Axis Matters
5.4.5 Axes Through the Center of Mass
5.4.6 Parallel Axis Theorem
5.5.1 Constant Angular Velocity and Net Torque
5.5.2 Rotational Equilibrium vs. Translational Equilibrium
5.5.3 Using Free-Body and Force Diagrams
5.5.4 Unbalanced Torque Means Changing Rotation
5.6.1 When Angular Velocity Changes
5.6.2 Net Torque, Angular Acceleration, and Rotational Inertia
5.6.3 Combining Linear and Rotational Analysis
6.1.1 Understanding Rotational Kinetic Energy
6.1.2 Rotational and Translational Kinetic Energy Together
6.1.3 Rotation When the Center of Mass Is at Rest
6.2.1 How Torque Transfers Energy
6.2.2 Calculating Work Done by a Torque
6.2.3 Using Torque–Position Graphs
6.3.1 Angular Momentum of a Rotating Rigid System
6.3.2 Angular Momentum of a Moving Object About a Point
6.3.3 Why the Choice of Axis Matters
6.3.4 Angular Impulse from Torque and Time
6.3.5 Relating Angular Impulse to Change in Angular Momentum
6.3.6 Graphs of Torque and Angular Momentum
6.3.7 AP Physics 1 Scope for Angular Momentum
6.4.1 Total Angular Momentum in a System
6.4.2 When a System's Angular Momentum Can Change
6.4.3 Equal and Opposite Angular Impulses
6.4.4 Spinning Faster by Changing Shape
6.4.5 Choosing the Right System for Conservation
6.5.1 Total Kinetic Energy in Rolling Motion
6.5.2 Rolling Without Slipping
6.5.3 Friction in Ideal Rolling
6.5.4 Rolling While Slipping
6.5.5 What AP Physics 1 Expects for Slipping Motion
6.6.1 A Satellite Orbiting a Much More Massive Object
6.6.2 Conservation Laws in Satellite Motion
6.6.3 Circular Orbits
6.6.4 Elliptical Orbits
6.6.5 Gravitational Potential Energy and Infinity
6.6.6 Escape Velocity
6.6.7 What Happens After Reaching Escape Velocity
7.1.1 What Makes Motion Simple Harmonic?
7.1.2 Restoring Force and Equilibrium Position
7.1.3 Small-Angle Pendulums as SHM
7.2.1 Relating Frequency and Period
7.2.2 Period of a Mass-Spring Oscillator
7.2.3 Period of a Small-Angle Pendulum
7.3.1 Describing Displacement in SHM
7.3.2 Velocity and Acceleration in the Cycle
7.3.3 Using Key Positions and Times
7.3.4 How Amplitude Affects Period
7.3.5 Reading SHM Graphs
7.4.1 Total Mechanical Energy in SHM
7.4.2 Conservation of Energy in SHM
7.4.3 When Kinetic Energy Is Maximum
7.4.4 When Potential Energy Is Maximum
7.4.5 How Amplitude Changes Total Energy
8.1.1 States of Matter and Particle Interactions
8.1.2 What Makes a Substance a Fluid?
8.1.3 Density as Mass per Unit Volume
8.1.4 Ideal Fluids: Incompressible and Nonviscous
8.2.1 Pressure from a Perpendicular Force
8.2.2 Pressure as a Scalar Quantity
8.2.3 Incompressible Fluids Under Pressure
8.2.4 How Fluids Exert Pressure on Surfaces
8.2.5 Absolute, Reference, and Gauge Pressure
8.2.6 Pressure in a Vertical Fluid Column
8.3.1 Newton’s Laws and Fluid Motion
8.3.2 Internal Interactions and External Forces
8.3.3 The Buoyant Force on an Object
8.3.4 Particle Model of Buoyancy
8.3.5 Archimedes’ Principle and Displaced Fluid
8.4.1 Pressure Differences and Fluid Flow
8.4.2 Mass Flow In and Out of a Tube
8.4.3 Flow Rate, Area, and Speed
8.4.4 Continuity Equation for Incompressible Fluids
8.4.5 Energy Changes in the Fluid–Earth System
8.4.6 Bernoulli’s Equation
8.4.7 Torricelli’s Theorem
8.4.8 Ideal-Fluid Boundaries and Full Pipes

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