Physics I

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

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

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

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

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

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

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

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

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

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

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
  • 11.4.6 Sound and Light

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