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• Chapter 1: Interactions and Motion
  • 1: Inline Exercises (47)
  • 1.1: Kinds of Matter
  • 1.2: Detecting Interactions (3)
  • 1.3: Newton's First Law of Motion (4)
  • 1.4: Other Indicators of Interactions
  • 1.5: Describing the 3D World: Vectors (18)
  • 1.6: SI Units
  • 1.7: Velocity (3)
  • 1.8: Momentum (7)
  • 1.9: Change of Momentum (1)
  • 1.10: The Principle of Relativity*
  • 1.11: Updating Position at High Speed*
  • 1: Problems (1)
  • 1: Computational Problems
  
  
• Chapter 2: The Momentum Principle
  • 2: Inline Exercises (26)
  • 2.1: System and Surroundings
  • 2.2: The Momentum Principle (12)
  • 2.3: Applying the Momentum Principle (4)
  • 2.4: Momentum Change with Changing Force
  • 2.5: Iterative Prediction of Motion (4)
  • 2.6: Special Case: Constant Force (7)
  • 2.7: Estimating Interaction Times (1)
  • 2.8: Physical Models
  • 2.9: Derivations: Special-Case Average Velocity*
  • 2.10: Inertial Frames*
  • 2.11: Measurements and Units*
  • 2: Problems (13)
  • 2: Computational Problems
  
  
• Chapter 3: The Fundamental Interactions
  • 3: Inline Exercises (22)
  • 3.1: The Fundamental Interactions (1)
  • 3.2: The Gravitational Force (11)
  • 3.3: Approximate Gravitational Force Near the Earth's Surface
  • 3.4: Reciprocity
  • 3.5: Predicting Motion of Gravitationally Interacting Objects
  • 3.6: The Electric Force
  • 3.7: The Strong Interaction
  • 3.8: Newton and Einstein
  • 3.9: Predicting the Future of Complex Systems
  • 3.10: Determinism
  • 3.11: Conservation of Momentum
  • 3.12: The Multiparticle Momentum Principle
  • 3.13: Collisions: Negligible External Forces (2)
  • 3.14: Points and Spheres
  • 3.15: Measuring the Gravitational Constant G
  • 3: Problems (8)
  • 3: Computational Problems (2)
  
  
• Chapter 4: Contact Interactions
  • 4: Inline Exercises (14)
  • 4.1: Tarzan and the Vine (5)
  • 4.2: A Model of a Solid: Balls Connected by Springs
  • 4.3: Tension Forces
  • 4.4: Length of an Interatomic Bond
  • 4.5: The Stiffness of an Interatomic Bond (8)
  • 4.6: Stress, Strain, and Young's Modulus
  • 4.7: Compression (Normal) Forces
  • 4.8: Friction (4)
  • 4.9: Speed of Sound in a Solid and Interatomic Bond Stiffness (5)
  • 4.10: Derivative Form of the Momentum Principle
  • 4.11: Analytical Solution: Spring-Mass System
  • 4.12: Analytical Expression for Speed of Sound
  • 4.13: Contact Forces Due to Gases (3)
  • 4.14: A Vertical Spring-Mass System*
  • 4.15: General Solution for the Mass-Spring System*
  • 4: Problems (13)
  • 4: Computational Problems
  
  
• Chapter 5: Rate of Change of Momentum
  • 5: Inline Exercises (8)
  • 5.1: Identifying Forces on a System (2)
  • 5.2: Momentum Not Changing (Statics)
  • 5.3: Finding the Rate of Change of Momentum (9)
  • 5.4: Curving Motion
  • 5.5: Rate of Change of Direction
  • 5.6: Why does the Vine Break?
  • 5.7: Problem Solving
  • 5: Problems (19)
  • 5: Computational Problems
  
  
• Chapter 6: The Energy Principle
  • 6: Inline Exercises (19)
  • 6.1: The Energy Principle (9)
  • 6.2: The Simplest System: A Single Particle
  • 6.3: Work: Mechanical Energy Transfer (5)
  • 6.4: Update Form of the Energy Principle
  • 6.5: Change of Rest Energy (4)
  • 6.6: Proof of the Energy Principle for a Particle
  • 6.7: Work Done by a Nonconstant Force
  • 6.8: Potential Energy in Multiparticle Systems (5)
  • 6.9: Gravitational Potential Energy
  • 6.10: General Properties of Potential Energy
  • 6.11: Plotting Energy vs. Separation
  • 6.12: Applying Gravitational Potential Energy (1)
  • 6.13: Gravitational Potential Energy Near the Earth's Surface (2)
  • 6.14: Electric Potential Energy
  • 6.15: The Mass of a Multiparticle System
  • 6.16: Reflection: Why Energy?
  • 6.17: Identifying Initial and Final States
  • 6.18: A Puzzle*
  • 6.19: Gradient of Potential Energy*
  • 6.20: Integrals and Antiderivatives*
  • 6.21: Approximation for Kinetic Energy*
  • 6.22: Finding the Formula for Particle Energy*
  • 6: Problems (27)
  • 6: Computational Problems
  
  
• Chapter 7: Internal Energy
  • 7: Inline Exercises (13)
  • 7.1: Potential Energy of Macroscopic Springs (4)
  • 7.2: Potential Energy of a Pair of Neutral Atoms
  • 7.3: Path Independence of Potential Energy
  • 7.4: Internal Energy and Thermal Energy (5)
  • 7.5: Energy Transfer due to a Temperature Difference
  • 7.6: Reflection: Forms of Energy
  • 7.7: Power: Energy per Unit Time
  • 7.8: Open and Closed Systems
  • 7.9: The Choice of System Affects Energy Accounting (4)
  • 7.10: Energy Dissipation
  • 7.11: Potential Energy and "Conservative" Forces
  • 7.12: Resonance*
  • 7: Problems (12)
  • 7: Computational Problems
  
  
• Chapter 8: Energy Quantization
  • 8: Inline Exercises (7)
  • 8.1: Photons (5)
  • 8.2: Electronic Energy Levels
  • 8.3: The Effect of Temperature
  • 8.4: Vibrational Energy Levels (1)
  • 8.5: Rotational Energy Levels
  • 8.6: Other Energy Levels
  • 8.7: Comparison of Energy Level Spacings
  • 8.8: Case Study: How a Laser Works*
  • 8.9: Wavelength of Light*
  • 8: Problems (10)
  • 8: Computational Problems
  
  
• Chapter 9: Multiparticle Systems
  • 9: Inline Exercises (11)
  • 9.1: The Motion of the Center of Mass (2)
  • 9.2: Separation of Multiparticle System Energy
  • 9.3: Rotational Kinetic Energy
  • 9.4: The "Point Particle System" (2)
  • 9.5: Analyzing Point Particle and Real Systems (1)
  • 9.6: Modeling Friction in Detail*
  • 9.7: A Physical Model for Dry Friction*
  • 9.8: Derivation: Kinetic Energy of a Multiparticle System*
  • 9.9: Derivation: The Point Particle Energy Equation
  • 9: Problems (13)
  • 9: Computational Problems
  
  
• Chapter 10: Collisions
  • 10: Inline Exercises (4)
  • 10.1: Internal Interactions in Collisions (5)
  • 10.2: Elastic and Inelastic Collisions
  • 10.3: A Head-On Collision of Equal Masses (6)
  • 10.4: Head-On Collisions Between Unequal Masses
  • 10.5: Frame of Reference
  • 10.6: Scattering: Collisions in 2-D and 3-D (1)
  • 10.7: Discovering the Nucleus Inside Atoms
  • 10.8: Distribution of Scattering Angles*
  • 10.9: Relativistic Momentum and Energy
  • 10.10: Inelastic Collisions and Quantized Energy
  • 10.11: Collisions in Other Reference Frames
  • 10: Problems (4)
  • 10: Computational Problems
  
  
• Chapter 11: Angular Momentum
  • 11: Inline Exercises (17)
  • 11.1: Translational Angular Momentum (7)
  • 11.2: Rotational Angular Momentum (4)
  • 11.3: Translational Plus Rotational Angular Momentum (3)
  • 11.4: The Angular Momentum Principle
  • 11.5: Multiparticle Systems
  • 11.6: Three Fundamental Principles of Mechanics
  • 11.7: Systems with Zero Torque (3)
  • 11.8: Systems with Nonzero Torques (3)
  • 11.9: Predicting Positions when there is Rotation
  • 11.10: Angular Momentum Quantization (2)
  • 11.11: Gyroscopes*
  • 11.12: More Complex Rotational Situations*
  • 11.13: Rate of Change of a Rotating Vector*
  • 11: Problems (16)
  • 11: Computational Problems
  
  
• Chapter 12: Entropy: Limits on the Possible
  • 12: Inline Exercises (11)
  • 12.1: Statistical Issues (3)
  • 12.2: A Statistical Model of Solids
  • 12.3: Thermal Equilibrium of Blocks in Contact (3)
  • 12.4: The Second Law of Thermodynamics
  • 12.5: What is Temperature?
  • 12.6: Specific Heat Capacity of a Solid
  • 12.7: The Boltzmann Distribution (9)
  • 12.8: The Boltzmann Distribution in a Gas
  • 12: Problems (13)
  • 12: Computational Problems
  
  
• Chapter 13: Gases and Engines
  • 13: Inline Exercises (5)
  • 13.1: Gases, Solids and Liquids (2)
  • 13.2: Gas Leaks Through a Hole
  • 13.3: Mean Free Path
  • 13.4: Pressure and Temperature
  • 13.5: Energy Transfers
  • 13.6: Fundamental Limitations on Efficiency
  • 13.7: A Maximally Efficient Process
  • 13.8: Why Don't We Attain the Theoretical Efficiency?*
  • 13.9: Application: A Random Walk* (1)
  • 13.10: Derivation: Maximum-Power Efficiency*
  
  
• Chapter 14: Electric Field
  • 14: Inline Exercises (13)
  • 14.1: New Concepts
  • 14.2: Electric Charge and Force
  • 14.3: The Concept of "Electric Field (3)
  • 14.4: The Electric Field of a Point Charge (7)
  • 14.5: Superposition of Electric Fields
  • 14.6: The Electric Field of a Dipole (5)
  • 14.7: Choice of System
  • 14.8: Is Electric Field Real?
  • 14: Problems (16)
  • 14: Computational Problems
  
  
• Chapter 15: Electric Fields and Matter
  • 15: Inline Exercises (3)
  • 15.1: Charged Particles in Matter (1)
  • 15.2: How Insulators Become Charged
  • 15.3: Polarization (2)
  • 15.4: Polarization of Insulators (1)
  • 15.5: Polarization of Conductors (3)
  • 15.6: A Model of a Metal
  • 15.7: Charging and Discharging (3)
  • 15.8: When the Field Concept is Less Useful
  • 15: Problems (8)
  • 15: Conceptual Problems
  
  
• Chapter 16: Electric Fields of Distributed Charges
  • 16: Inline Exercises (6)
  • 16.1: Overview (6)
  • 16.2: A Uniformly Charged Thin Rod
  • 16.3: Procedure for Calculating Electric Field
  • 16.4: A Uniformly Charged Thin Ring (5)
  • 16.5: A Uniformly Charged Disk
  • 16.6: Two Uniformly Charged Disks: A Capacitor
  • 16.7: A Spherical Shell of Charge (8)
  • 16.8: A Solid Sphere Charged Throughout Its Volume
  • 16.9: Infinitesimals and Integrals in Science
  • 16.10: Uniform Thin Rod at an Arbitrary Location*
  • 16.11: Integrating the Spherical Shell*
  • 16: Problems (10)
  • 16: Computational Problems (4)
  
  
• Chapter 17: Electric Potential
  • 17: Inline Exercises (6)
  • 17.1: A Review of Potential Energy (7)
  • 17.2: Systems of Charged Objects
  • 17.3: Potential Difference in a Uniform Field (10)
  • 17.4: Sign of Potential Difference (8)
  • 17.5: Potential Difference in a Nonuniform Field (4)
  • 17.6: Path Independence (1)
  • 17.7: The Potential at One Location (9)
  • 17.8: Potential Difference in an Insulator
  • 17.9: Energy Density and Electric Field
  • 17.10: Potential of Distributed Charges*
  • 17.11: Integrating the Spherical Shell*
  • 17: Problems (21)
  • 17: Computational Problems
  
  
• Chapter 18: Magnetic Field
  • 18: Inline Exercises (8)
  • 18.1: Electron Current (12)
  • 18.2: Detecting Magnetic Fields
  • 18.3: Biot-Savart Law: Single Moving Charge
  • 18.4: Relativistic Effects
  • 18.5: Electron Current & Conventional Current (3)
  • 18.6: The Biot-Savart for Currents
  • 18.7: The Magnetic Field of Current Distributions (6)
  • 18.8: A Circular Loop of Wire
  • 18.9: Magnetic Dipole Moment
  • 18.10: The Magnetic Field of a Bar Magnet (1)
  • 18.11: The Atomic Structure of Magnets
  • 18.12: Estimate of Orbital Angular Momentum of an Electron in an Atom*
  • 18.13: Magnetic Field of a Solenoid*
  • 18: Problems (13)
  • 18: Computational Problems
  
  
• Chapter 19: Electric Field and Circuits
  • 19: Inline Exercises (4)
  • 19.1: Overview (2)
  • 19.2: Current in Different Parts of a Circuit
  • 19.3: Electric Field and Current (2)
  • 19.4: What Charges make the Electric Field in the Wires? (5)
  • 19.5: Connecting a Circuit: The Initial Transient
  • 19.6: Feedback
  • 19.7: Surface Charge and Resistors
  • 19.8: Energy in a Circuit (5)
  • 19.9: Applications of the Theory
  • 19.10: Detecting Surface Charge
  • 19: Problems (12)
  • 19: Computational Problems
  
  
• Chapter 20: Circuit Elements
  • 20: Inline Exercises (7)
  • 20.1: Capacitors (8)
  • 20.2: Resistors (4)
  • 20.3: Work and Power in a Circuit
  • 20.4: Batteries
  • 20.5: Ammeters, Voltmeters, and Ohmmeters
  • 20.6: Quantitative Analysis of an RC Circuit
  • 20.7: Reflection: The Macro-Micro Connection
  • 20.8: What are AC and DC?*
  • 20.9: Electrons in Metals*
  • 20.10: A Complicated Resistive Circuit*
  • 20: Problems (10)
  • 20: Computational Problems
  
  
• Chapter 21: Magnetic Force
  • 21: Inline Exercises (18)
  • 21.1: Magnetic Force on a Moving Charge (4)
  • 21.2: Magnetic Force on a Current-Carrying Wire (4)
  • 21.3: Combining Electric and Magnetic Forces (3)
  • 21.4: The Hall Effect (1)
  • 21.5: Motional EMF (1)
  • 21.6: Magnetic Force in Moving Reference Frame
  • 21.7: Magnetic Torque
  • 21.8: Potential Energy for a Magnetic Dipole
  • 21.9: Motors and Generators
  • 21.10: Case Study: Sparks in Air* (1)
  • 21.11: Relativistic Field Transformations* (3)
  • 21: Problems (13)
  • 21: Computational Problems
  
  
• Chapter 22: Patterns of Field in Space
  • 22: Inline Exercises (5)
  • 22.1: Patterns of Electric Field: Gauss's Law (1)
  • 22.2: Definition of "Electric Flux
  • 22.3: Gauss's Law (2)
  • 22.4: Reasoning from Gauss's Law
  • 22.5: Gauss's Law for Magnetism (1)
  • 22.6: Patterns of Magnetic Field: Ampere's Law (1)
  • 22.7: Maxwell's Equations
  • 22.8: The Differential Form of Gauss's Law*
  • 22.9: The Differential Form of Ampere's Law*
  • 22.10: Semiconductor Devices*
  • 22: Problems (4)
  • 22: Computational Problems
  
  
• Chapter 23: Faraday's Law
  • 23: Inline Exercises (12)
  • 23.1: Curly Electric Fields
  • 23.2: Faraday's Law (1)
  • 23.3: Faraday's Law and Motional EMF
  • 23.4: Maxwell's Equations
  • 23.5: Superconductors
  • 23.6: Inductance
  • 23.7: Some Peculiar Circuits*
  • 23.8: The Differential Form of Faraday's Law*
  • 23.9: Lenz's Rule*
  • 23: Problems (8)
  • 23: Computational Problems
  
  
• Chapter 24: Electromagnetic Radiation
  • 24: Inline Exercises (5)
  • 24.1: Maxwell's Equations (1)
  • 24.2: Fields Traveling Through Space (4)
  • 24.3: Accelerated Charges Produce Radiation (6)
  • 24.4: Sinusoidal Electromagnetic Radiation (4)
  • 24.5: Energy and Momentum in Radiation
  • 24.6: Effects of Radiation on Matter (1)
  • 24.7: Light Propagation Through a Medium (5)
  • 24.8: Refraction: Bending of a Light
  • 24.9: Lenses
  • 24.10: Image Formation
  • 24.11: The Field of an Accelerated Charge*
  • 24.12: Differential Form of Maxwell's Equations
  • 24: Problems (3)
  • 24: Computational Problems
  
  
• Chapter 25: Waves and Particles
  • 25: Inline Exercises (11)
  • 25.1: Wave Phenomena
  • 25.2: Multi-Source Interference: Diffractions
  • 25.3: The Wave Model vs. the Particle Model of Light (1)
  • 25.4: Further Applications of the Wave Model (1)
  • 25.5: Angular Resolution
  • 25.6: Standing Waves
  • 25.7: Derivation: Two Slits are like Two Sources
  • 25: Problems (2)
  • 25: Computational Problems