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Thinkwell Physics

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1. Preliminaries

1.1. Welcome to Physics
1.1.1. Welcome to Physics

1.2. Measuring the World Around Us
1.2.1. Physical Quantities and Units of Measurement
1.2.2. Unit Conversion and Dimensional Analysis
1.2.3. Uncertainty in Measurement and Significant Digits

1.3. Vectors
1.3.1. The Basics of Vectors
1.3.2. Vector Components and Unit Vectors

1.4. Scalar Products
1.4.1. The Scalar Product

1.5. Vector Products
1.5.1. The Vector Product

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2. Kinematics

2.1. Investigating One-Dimensional Motion
2.1.1. Describing Motion
2.1.2. Displacement and Average Velocity
2.1.3. Understanding Instantaneous Velocity
2.1.4. Instantaneous Velocity and the Derivative
2.1.5. Acceleration
2.1.6. Another Look at Position, Velocity, and Acceleration

2.2. One-Dimensional Motion With Constant Acceleration
2.2.1. Describing Motion Under Constant Acceleration
2.2.2. Solving Problems Involving Motion Under Constant Acceleration
2.2.3. Free-Falling Objects

2.3. Describing Motion in Two and Three Dimensions
2.3.1. The Position and Velocity Vectors
2.3.2. The Acceleration Vector
2.3.3. Relating Position, Velocity, and Acceleration Vectors in Two Dimensions

2.4. Investigating Motion in Two Dimensions
2.4.1. A First Look at Projectile Motion
2.4.2. Understanding Projectile Motion
2.4.3. Physics in Action: The Hunter and the Monkey

2.5. Uniform Circular Motion
2.5.1. Describing Uniform Circular Motion

2.6. Relative Motion and Reference Frames
2.6.1. Understanding Relative Motion
2.6.2. Physics in Action: Toss-and-Catch from Two Points of View

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3. Dynamics

3.1. Newton's Three Laws
3.1.1. Newton's First Law
3.1.2. Physics in Action: The Three Balls Demo
3.1.3. Introduction to Newton's Second Law
3.1.4. The Vector Nature of Force and Newton's Second Law
3.1.5. Weight
3.1.6. Actions, Reactions, and Newton's Third Law
3.1.7. Physics in Action: A Tug-of-War

3.2. Applications of Newton's Three Laws
3.2.1. Free-Body Diagrams
3.2.2. Solving Problems Using Newton's Laws: Ropes and Tension
3.2.3. Solving Problems Using Newton's Laws: Inclines and the Normal Force

3.3. The Forces of Friction
3.3.1. Understanding the Frictional Force Between Two Surfaces
3.3.2. Problems on Friction and Inclines
3.3.3. Motion Through a Fluid: Drag Force and Terminal Speed

3.4. The Dynamics of Circular Motion
3.4.1. Forces and Uniform Circular Motion
3.4.2. Solving Circular Motion Problems

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4. Energy

4.1. Work
4.1.1. The Work Done by a Constant Force in One Dimension
4.1.2. The Work Done by a Constant Force in Two Dimensions
4.1.3. The Work Done by a Variable Force
4.1.4. The Work Done by a Spring

4.2. Work, Kinetic Energy, and Power
4.2.1. The Work-Kinetic Energy Theorem
4.2.2. Solving Problems Involving Work and Kinetic Energy
4.2.3. Power

4.3. Potential Energy
4.3.1. Work and Gravitational Potential Energy
4.3.2. Conservative and Nonconservative Forces
4.3.3. Calculating Potential Energy

4.4. Conservation of Energy
4.4.1. Understanding Conservation of Mechanical Energy
4.4.2. Physics in Action: The Triple Chute
4.4.3. Solving Problems Using Conservation of Mechanical Energy
4.4.4. Potential Energy Functions and Energy Diagrams
4.4.5. Work and Nonconservative Forces
4.4.6. Physics in Action: The Giant Nose-Basher
4.4.7. Conservation of Energy in General

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5. Momentum

5.1. Momentum and Its Conservation
5.1.1. Linear Momentum and Impulse
5.1.2. Solving Problems Using Linear Momentum and Impulse
5.1.3. Conservation of Momentum
5.1.4. Solving Problems Using Conservation of Momentum
5.1.5. Rocket Propulsion

5.2. Elastic and Inelastic Collisions
5.2.1. Elastic Collisions in One Dimension
5.2.2. Inelastic Collisions in One Dimension
5.2.3. Collisions in Two Dimensions

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6. The Physics of Extended Objects

6.1. Systems of Particles and the Center of Mass
6.1.1. The Center of Mass of a System of Particles
6.1.2. The Center of Mass of a Rigid Body
6.1.3. The Center of Mass and the Motion of a System of Particles
6.1.4. Physics in Action: Motion and the Center of Mass

6.2. Describing Angular Motion
6.2.1. Angular Displacement, Velocity, and Acceleration
6.2.2. Rotation with Constant Angular Acceleration
6.2.3. Relating Angular and Linear Quantities

6.3. Rotational Inertia and Kinetic Energy
6.3.1. The Kinetic Energy of Rotation
6.3.2. Calculating the Rotational Inertia of Solid Bodies

6.4. The Dynamics of Rotational Motion
6.4.1. Torque
6.4.2. Newton's Second Law for Rotational Motion
6.4.3. Solving Problems Using Newton's Second Law for Rotational Motion
6.4.4. Work and Power in Rotational Motion

6.5. Rolling
6.5.1. Understanding Rolling Motion
6.5.2. Solving Problems Involving Rolling Motion
6.5.3. Physics in Action: A Downhill Race

6.6. Angular Momentum
6.6.1. The Definition of Angular Momentum
6.6.2. Torque and Angular Momentum

6.7. Conservation of Angular Momentum
6.7.1. Understanding Conservation of Angular Momentum
6.7.2. Physics in Action: Conservation of Angular Momentum
6.7.3. Solving Problems Using Conservation of Angular Momentum

6.8. Precession
6.8.1. Understanding Precession

6.9. Statics
6.9.1. The Conditions for Static Equilibrium
6.9.2. Understanding Stable Equilibrium and the Center of Gravity
6.9.3. Solving Static Equilibrium Problems

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7. Force of Gravity

7.1. Gravity
7.1.1. Newton's Law of Gravitation
7.1.2. Gravity on Earth
7.1.3. Weightlessness
7.1.4. Gravitational Potential Energy

7.2. Orbital Motion
7.2.1. Understanding Circular Orbital Motion
7.2.2. Kepler's Three Laws
7.2.3. Energy in Orbital Motion

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8. Fluids

8.1. Fluid Statics
8.1.1. Fluids, Density, and Pressure
8.1.2. Physics in Action: A Bed of Nails
8.1.3. How Pressure Varies with Depth
8.1.4. Physics in Action: Pressure in a Graduated Cylinder
8.1.5. Physics in Action: Pressure Changes in a Bell Jar
8.1.6. Physics in Action: Barrel Crunch
8.1.7. Pascal's Principle and Examples of Hydrostatics
8.1.8. Buoyancy and Archimedes' Principle
8.1.9. Physics in Action: Buoyancy in Air

8.2. Fluid Dynamics
8.2.1. Fluids in Motion: Streamlines and Continuity
8.2.2. Bernoulli's Equation
8.2.3. Physics in Action: A Ball Caught in a Stream of Air
8.2.4. Fluids in the Real World: Surface Tension, Turbulence, and Viscosity

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9. Relativity

9.1. Understanding Einstein's Special Theory of Relativity
9.1.1. Einstein's Postulates
9.1.2. The Relativity of Simultaneity
9.1.3. Time Dilation
9.1.4. Length Contraction

9.2. The Lorentz Transformations
9.2.1. The Lorentz Transformation Equations
9.2.2. Solving Problems Using the Lorentz Transformations

9.3. Relativistic Dynamics
9.3.1. Relativistic Momentum
9.3.2. Relativistic Energy
9.3.3. A Clock Story

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10. Oscillatory Motion

10.1. Simple Harmonic Motion
10.1.1. A Mass on a Spring: Simple Harmonic Motion
10.1.2. The Equations Describing Simple Harmonic Motion
10.1.3. Energy in Simple Harmonic Motion

10.2. Pendulums
10.2.1. The Simple Pendulum
10.2.2. Physical Pendulums

10.3. Damped and Driven Oscillations
10.3.1. Damped Simple Harmonic Motion
10.3.2. Driven Oscillators
10.3.3. Physics in Action: Resonance

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11. Waves

11.1. The Basics of Waves
11.1.1. Introduction to Waves
11.1.2. A Wave on a Rope: Frequency and Wavelength
11.1.3. A Wave on a Rope: Wave Speed
11.1.4. A Wave on a Rope: Energy and Power

11.2. Waves on Top of Waves
11.2.1. Reflection, Transmission, and Superposition
11.2.2. Interference

11.3. Standing Waves
11.3.1. Standing Waves: Two Waves Traveling in Opposite Directions
11.3.2. Standing Waves on a String
11.3.3. Physics in Action: Standing Waves on a Rope
11.3.4. Longitudinal Standing Waves
11.3.5. Physics in Action: Standing Waves on a Sheet of Metal

11.4. Sound
11.4.1. Sound Waves
11.4.2. Physics in Action: Sound Waves in a Flaming Pipe
11.4.3. The Character of Sound and Fourier Analysis
11.4.4. Physics in Action: Musical Instruments and Waveforms
11.4.5. Intensity and Loudness

11.5. Interference and the Doppler Effect
11.5.1. Sound Waves and Interference
11.5.2. Beats
11.5.3. The Doppler Effect

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