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1 Mathematical Prelude..............................................................................................................2 2 Conservation of Mechanical Energy I: Kinetic Energy & Gravitational Potential Energy......10 3 Conservation of Mechanical Energy II: Springs, Rotational Kinetic Energy..........................18 4 Conservation of Momentum..................................................................................................20 5 Conservation of Angular Momentum ....................................................................................25 6 One-Dimensional Motion (Motion Along a Line): Definitions and Mathematics...................30 7 One-Dimensional Motion: The Constant Acceleration Equations..........................................39 8 One-Dimensional Motion: Collision Type II .........................................................................43 9 One-Dimensional Motion Graphs..........................................................................................48 10 Constant Acceleration Problems in Two Dimensions ..........................................................52 11 Relative Velocity.................................................................................................................62 12 Gravitational Force Near the Surface of the Earth, First Brush with Newton’s 2nd Law........69 13 Freefall, a.k.a. Projectile Motion .........................................................................................74 14 Newton’s Laws #1: Using Free Body Diagrams ..................................................................79 15 Newton’s Laws #2: Kinds of Forces, Creating Free Body Diagrams....................................86 16 Newton’s Laws #3: Components, Friction, Ramps, Pulleys, and Strings..............................95 17 The Universal Law of Gravitation.....................................................................................104 18 Circular Motion: Centripetal Acceleration.........................................................................111 19 Rotational Motion Variables, Tangential Acceleration, Constant Angular Acceleration.....117 20 Torque & Circular Motion.................................................................................................124 21 Vectors: The Cross Product & Torque...............................................................................132 22 Center of Mass, Moment of Inertia....................................................................................142 23 Statics ...............................................................................................................................155 24 Work and Energy..............................................................................................................162 25 Potential Energy, Conservation of Energy, Power .............................................................171 26 Impulse and Momentum....................................................................................................180 27 Oscillations: Introduction, Mass on a Spring .....................................................................185 28 Oscillations: The Simple Pendulum, Energy in Simple Harmonic Motion.........................197 29 Waves: Characteristics, Types, Energy..............................................................................202 30 Wave Function, Interference, Standing Waves ..................................................................218 31 Strings, Air Columns.........................................................................................................225 32 Beats, The Doppler Effect .................................................................................................233 33 Fluids: Pressure, Density, Archimedes’ Principle ..............................................................239 34 Pascal’s Principle, the Continuity Equation, and Bernoulli’s Principle...............................247 35 Temperature, Internal Energy, Heat, and Specific Heat Capacity.......................................257 36 Heat: Phase Changes.........................................................................................................262 37 The First Law of Thermodynamics....................................................................................266
1 Mathematical Prelude..............................................................................................................2 2 Conservation of Mechanical Energy I: Kinetic Energy & Gravitational Potential Energy......10 3 Conservation of Mechanical Energy II: Springs, Rotational Kinetic Energy..........................18 4 Conservation of Momentum..................................................................................................20 5 Conservation of Angular Momentum ....................................................................................25 6 One-Dimensional Motion (Motion Along a Line): Definitions and Mathematics...................30 7 One-Dimensional Motion: The Constant Acceleration Equations..........................................39 8 One-Dimensional Motion: Collision Type II .........................................................................43 9 One-Dimensional Motion Graphs..........................................................................................48 10 Constant Acceleration Problems in Two Dimensions ..........................................................52 11 Relative Velocity.................................................................................................................62 12 Gravitational Force Near the Surface of the Earth, First Brush with Newton’s 2nd Law........69 13 Freefall, a.k.a. Projectile Motion .........................................................................................74 14 Newton’s Laws #1: Using Free Body Diagrams ..................................................................79 15 Newton’s Laws #2: Kinds of Forces, Creating Free Body Diagrams....................................86 16 Newton’s Laws #3: Components, Friction, Ramps, Pulleys, and Strings..............................95 17 The Universal Law of Gravitation.....................................................................................104 18 Circular Motion: Centripetal Acceleration.........................................................................111 19 Rotational Motion Variables, Tangential Acceleration, Constant Angular Acceleration.....117 20 Torque & Circular Motion.................................................................................................124 21 Vectors: The Cross Product & Torque...............................................................................132 22 Center of Mass, Moment of Inertia....................................................................................142 23 Statics ...............................................................................................................................155 24 Work and Energy..............................................................................................................162 25 Potential Energy, Conservation of Energy, Power .............................................................171 26 Impulse and Momentum....................................................................................................180 27 Oscillations: Introduction, Mass on a Spring .....................................................................185 28 Oscillations: The Simple Pendulum, Energy in Simple Harmonic Motion.........................197 29 Waves: Characteristics, Types, Energy..............................................................................202 30 Wave Function, Interference, Standing Waves ..................................................................218 31 Strings, Air Columns.........................................................................................................225 32 Beats, The Doppler Effect .................................................................................................233 33 Fluids: Pressure, Density, Archimedes’ Principle ..............................................................239 34 Pascal’s Principle, the Continuity Equation, and Bernoulli’s Principle...............................247 35 Temperature, Internal Energy, Heat, and Specific Heat Capacity.......................................257 36 Heat: Phase Changes.........................................................................................................262 37 The First Law of Thermodynamics....................................................................................266

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# Conceptual Physics

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