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Physics for Scientists and Engineers with Modern Physics and MasteringPhysics / Edition 4 available in Other Format

# Physics for Scientists and Engineers with Modern Physics and MasteringPhysics / Edition 4

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## Overview

**ALERT:** Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products.

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**For the calculus-based General Physics course primarily taken by engineers and science majors (including physics majors).**

This long-awaited and extensive revision maintains Giancoli's reputation for creating carefully crafted, highly accurate and precise physics texts. *Physics for Scientists and Engineers* combines outstanding pedagogy with a clear and direct narrative and applications that draw the student into the physics. The new edition also features an unrivaled suite of media and on-line resources that enhance the understanding of physics.

This book is written for students. It aims to explain physics in a readable and interesting manner that is accessible and clear, and to teach students by anticipating their needs and difficulties without oversimplifying.

Physics is a description of reality, and thus each topic begins with concrete observations and experiences that students can directly relate to. We then move on to the generalizations and more formal treatment of the topic. Not only does this make the material more interesting and easier to understand, but it is closer to the way physics is actually practiced.

**0136139221 / 9780136139225 Physics for Scientists and Engineers with Modern Physics and Mastering Physics **

**Package consists of: **

**0131495089 / 9780131495081 Physics for Scientists & Engineers with Modern Physics **

**0131992260 / 9780131992269 Mastering Physics with E-book Student Access Kit for Physics for Scientists and Engineers (ME component) **

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## Product Details

ISBN-13: | 9780136139225 |
---|---|

Publisher: | Pearson |

Publication date: | 09/10/2008 |

Series: | MasteringPhysics Series |

Edition description: | New Edition |

Sales rank: | 496,286 |

Product dimensions: | 8.80(w) x 11.10(h) x 1.70(d) |

## About the Author

**Douglas C. Giancoli** obtained his BA in physics (summa cum laude) from UC Berkeley, his MS in physics at MIT, and his PhD in elementary particle physics back at the UC Berkeley. He spent 2 years as a post-doctoral fellow at UC Berkeley’s Virus lab developing skills in molecular biology and biophysics. His mentors include Nobel winners Emilio Segrè and Donald Glaser.

He has taught a wide range of undergraduate courses, traditional as well as innovative ones, and continues to update his textbooks meticulously, seeking ways to better provide an understanding of physics for students.

Doug’s favorite spare-time activity is the outdoors, especially climbing peaks. He says climbing peaks is like learning physics: it takes effort and the rewards are great.

**Douglas C. Giancoli**obtained his BA in physics (summa cum laude) from UC Berkeley, his MS in physics at MIT, and his PhD in elementary particle physics back at the UC Berkeley. He spent 2 years as a post-doctoral fellow at UC Berkeley’s Virus lab developing skills in molecular biology and biophysics. His mentors include Nobel winners Emilio Segrè and Donald Glaser.

He has taught a wide range of undergraduate courses, traditional as well as innovative ones, and continues to update his textbooks meticulously, seeking ways to better provide an understanding of physics for students.

Doug’s favorite spare-time activity is the outdoors, especially climbing peaks. He says climbing peaks is like learning physics: it takes effort and the rewards are great.

- See more at: http://www.pearsonhighered.com/educator/product/Physics-Principles-With-Applications-Plus-MasteringPhysics-with-eText-Access-Card-Package/9780321625915.page#sthash.CBi8Xrm4.dpuf## Table of Contents

CONTENTS OF VOLUME 1

APPLICATIONS LIST xii

PREFACE xiv

AVAILABLE SUPPLEMENTS AND MEDIA xxii

NOTES TO STUDENTS (AND INSTRUCTORS) ON THE FORMAT xxiv

COLOR USE: VECTORS, FIELDS, AND SYMBOLS xxv

CHAPTER1: INTRODUCTION, MEASUREMENT, ESTIMATING

1–1 The Nature of Science

1–2 Models, Theories, and Laws

1–3 Measurement and Uncertainty; Significant Figures

1–4 Units, Standards, and the SI System

1–5 Converting Units

1–6 Order of Magnitude: Rapid Estimating

*1–7 Dimensions and Dimensional Analysis

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 2: DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION

2–1 Reference Frames and Displacement

2–2 Average Velocity

2–3 Instantaneous Velocity

2–4 Acceleration

2–5 Motion at Constant Acceleration

2–6 Solving Problems

2–7 Freely Falling Objects

*2–8 Variable Acceleration; Integral Calculus

*2–9 Graphical Analysis and Numerical Integration

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 3: KINEMATICS IN TWO OR THREE DIMENSIONS; VECTORS

3–1 Vectors and Scalars

3–2 Addition of Vectors—Graphical Methods

3–3 Subtraction of Vectors, and Multiplication of a Vector by a Scalar

3–4 Adding Vectors by Components

3–5 Unit Vectors

3–6 Vector Kinematics

3–7 Projectile Motion

3–8 Solving Problems Involving Projectile Motion

3–9 Relative Velocity

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 4: DYNAMICS: NEWTON’S LAWS OF MOTION

4–1 Force

4–2 Newton’s First Law of Motion

4–3 Mass

4–4 Newton’s Second Law of Motion

4–5 Newton’s Third Law of Motion

4–6 Weight—the Force of Gravity; and the Normal Force

4–7 Solving Problems with Newton’s Laws: Free-Body Diagrams

4–8 Problem Solving—A General Approach

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 5: USING NEWTON’S LAWS: FRICTION, CIRCULAR MOTION, DRAG FORCES

5–1 Applications of Newton’s Laws Involving Friction

5–2 Uniform Circular Motion—Kinematics

5–3 Dynamics of Uniform Circular Motion

5–4 Highway Curves: Banked and Unbanked

*5–5 Nonuniform Circular Motion

*5–6 Velocity-Dependent Forces: Drag and Terminal Velocity

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 6: GRAVITATION AND NEWTON’S6 SYNTHESIS

6–1 Newton’s Law of Universal Gravitation

6–2 Vector Form of Newton’s Law of Universal Gravitation

6–3 Gravity Near the Earth’s Surface; Geophysical Applications

6–4 Satellites and “Weightlessness”

6–5 Kepler’s Laws and Newton’s Synthesis

*6–6 Gravitational Field

6–7 Types of Forces in Nature

*6–8 Principle of Equivalence; Curvature of Space; Black Holes

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 7: WORK AND ENERGY

7–1 Work Done by a Constant Force

7–2 Scalar Product of Two Vectors

7–3 Work Done by a Varying Force

7–4 Kinetic Energy and the Work-Energy Principle

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 8: CONSERVATION OF ENERGY

8–1 Conservative and Nonconservative Forces

8–2 Potential Energy

8–3 Mechanical Energy and Its Conservation

8–4 Problem Solving Using Conservation of Mechanical Energy

8–5 The Law of Conservation of Energy

8–6 Energy Conservation with Dissipative Forces: Solving Problems

8–7 Gravitational Potential Energy and Escape Velocity

8–8 Power

*8–9 Potential Energy Diagrams; Stable and Unstable Equilibrium

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 9: LINEAR MOMENTUM

9–1 Momentum and Its Relation to Force

9–2 Conservation of Momentum

9–3 Collisions and Impulse

9–4 Conservation of Energy and Momentum in Collisions

9–5 Elastic Collisions in One Dimension

9–6 Inelastic Collisions

9–7 Collisions in Two or Three Dimensions

9–8 Center of Mass (CM)

9–9 Center of Mass and Translational Motion

*9–10 Systems of Variable Mass; Rocket Propulsion

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 10: ROTATIONAL MOTION

10–1 Angular Quantities

10–2 Vector Nature of Angular Quantities

10–3 Constant Angular Acceleration

10–4 Torque

10–5 Rotational Dynamics; Torque and Rotational Inertia

10–6 Solving Problems in Rotational Dynamics

10–7 Determining Moments of Inertia

10–8 Rotational Kinetic Energy

10–9 Rotational Plus Translational Motion; Rolling

*10–10 Why Does a Rolling Sphere Slow Down?

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 11: ANGULAR MOMENTUM; GENERAL ROTATION

11–1 Angular Momentum—Object Rotating About a Fixed Axis

11–2 Vector Cross Product; Torque as a Vector

11–3 Angular Momentum of a Particle

11–4 Angular Momentum and Torque for a System of Particles; General Motion

11–5 Angular Momentum and Torque for a Rigid Object

11–6 Conservation of Angular Momentum

*11–7 The Spinning Top and Gyroscope

*11–8 Rotating Frames of Reference; Inertial Forces

*11–9 The Coriolis Effect

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 12: STATIC EQUILIBRIUM; ELASTICITY AND FRACTURE

12–1 The Conditions for Equilibrium

12–2 Solving Statics Problems

12–3 Stability and Balance

12–4 Elasticity; Stress and Strain

12–5 Fracture

*12–6 Trusses and Bridges

*12–7 Arches and Domes

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 13: FLUIDS

13–1 Phases of Matter

13–2 Density and Specific Gravity

13–3 Pressure in Fluids

13–4 Atmospheric Pressure and Gauge Pressure

13–5 Pascal’s Principle

13–6 Measurement of Pressure; Gauges and the Barometer

13–7 Buoyancy and Archimedes’ Principle

13–8 Fluids in Motion; Flow Rate and the Equation of Continuity

13–9 Bernoulli’s Equation

13–10 Applications of Bernoulli’s Principle: Torricelli, Airplanes, Baseballs, TIA

*13–11 Viscosity

*13–12 Flow in Tubes: Poiseuille’s Equation, Blood Flow

*13–13 Surface Tension and Capillarity

*13–14 Pumps, and the Heart

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 14: OSCILLATIONS

14–1 Oscillations of a Spring

14–2 Simple Harmonic Motion

14–3 Energy in the Simple Harmonic Oscillator

14–4 Simple Harmonic Motion Related to Uniform Circular Motion

14–5 The Simple Pendulum

*14–6 The Physical Pendulum and the Torsion Pendulum

14–7 Damped Harmonic Motion

14–8 Forced Oscillations; Resonance

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 15: WAVE MOTION

15–1 Characteristics of Wave Motion

15–2 Types of Waves: Transverse and Longitudinal

15–3 Energy Transported by Waves

15–4 Mathematical Representation of a Traveling Wave

*15–5 The Wave Equation

15–6 The Principle of Superposition

15–7 Reflection and Transmission

15–8 Interference

15–9 Standing Waves; Resonance

*15–10 Refraction

*15–11 Diffraction

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 16: SOUND

16–1 Characteristics of Sound

16–2 Mathematical Representation of Longitudinal Waves

16–3 Intensity of Sound: Decibels

16–4 Sources of Sound: Vibrating Strings and Air Columns

*16–5 Quality of Sound, and Noise; Superposition

16–6 Interference of Sound Waves; Beats

16–7 Doppler Effect

*16–8 Shock Waves and the Sonic Boom

*16–9 Applications: Sonar, Ultrasound, and Medical Imaging

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 17: TEMPERATURE, THERMAL EXPANSION, AND THE IDEAL GAS LAW

17–1 Atomic Theory of Matter

17–2 Temperature and Thermometers

17–3 Thermal Equilibrium and the Zeroth Law of Thermodynamics

17–4 Thermal Expansion

*17–5 Thermal Stresses

17–6 The Gas Laws and Absolute Temperature

17–7 The Ideal Gas Law

17–8 Problem Solving with the Ideal Gas Law

17–9 Ideal Gas Law in Terms of Molecules: Avogadro’s Number

*17–10 Ideal Gas Temperature Scale—a Standard

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 18: KINETIC THEORY OF GASES

18–1 The Ideal Gas Law and the Molecular Interpretation of Temperature

18–2 Distribution of Molecular Speeds

18–3 Real Gases and Changes of Phase

18–4 Vapor Pressure and Humidity

*18–5 Van der Waals Equation of State

*18–6 Mean Free Path

*18–7 Diffusion

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 19: HEAT AND THE FIRST LAW OF THERMODYNAMICS

19–1 Heat as Energy Transfer

19–2 Internal Energy

19–3 Specific Heat

19–4 Calorimetry—Solving Problems

19–5 Latent Heat

19–6 The First Law of Thermodynamics

19–7 Applying the First Law of Thermodynamics; Calculating the Work

19–8 Molar Specific Heats for Gases, and the Equipartition of Energy

19–9 Adiabatic Expansion of a Gas

19–10 Heat Transfer: Conduction, Convection, Radiation

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 20: SECOND LAW OF THERMODYNAMICS

20–1 The Second Law of Thermodynamics—Introduction

20–2 Heat Engines

20–3 Reversible and Irreversible Processes; the Carnot Engine

20–4 Refrigerators, Air Conditioners, and Heat Pumps

20–5 Entropy

20–6 Entropy and the Second Law of Thermodynamics

20–7 Order to Disorder

20–8 Unavailability of Energy; Heat Death

*20–9 Statistical Interpretation of Entropy and the Second Law

*20–10 Thermodynamic Temperature Scale; Absolute Zero and the Third Law of Thermodynamics

*20–11 Thermal Pollution, Global Warming, and Energy Resources

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 21: ELECTRIC CHARGE AND ELECTRIC FIELD

21–1 Static Electricity; Electric Charge and Its Conservation

21–2 Electric Charge in the Atom

21–3 Insulators and Conductors

21–4 Induced Charge; the Electroscope

21–5 Coulomb’s Law

21–6 The Electric Field

21–7 Electric Field Calculations for Continuous Charge Distributions

21–8 Field Lines

21–9 Electric Fields and Conductors

21–10 Motion of a Charged Particle in an Electric Field

21–11 Electric Dipoles

*21–12 Electric Forces in Molecular Biology; DNA

*21–13 Photocopy Machines and Computer Printers Use Electrostatics

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 22: GAUSS’S LAW

22–1 Electric Flux

22–2 Gauss’s Law

22–3 Applications of Gauss’s Law

*22–4 Experimental Basis of Gauss’s and Coulomb’s Law

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 23: ELECTRIC POTENTIAL

23–1 Electric Potential Energy and Potential Difference

23–2 Relation between Electric Potential and Electric Field

23–3 Electric Potential Due to Point Charges

23–4 Potential Due to Any Charge Distribution

23–5 Equipotential Surfaces

23–6 Electric Dipole Potential

23–7 E Determined from *V*

23–8 Electrostatic Potential Energy; the Electron Volt

23–9 Cathode Ray Tube: TV and Computer Monitors, Oscilloscope

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 24: CAPACITANCE, DIELECTRICS, ELECTRIC ENERGY STORAGE

24–1 Capacitors

24–2 Determination of Capacitance

24–3 Capacitors in Series and Parallel

24–4 Electric Energy Storage

24–5 Dielectrics

*24–6 Molecular Description of Dielectrics

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 25: ELECTRIC CURRENTS AND RESISTANCE

25–1 The Electric Battery

25–2 Electric Current

25–3 Ohm’s Law: Resistance and Resistors

25–4 Resistivity

25–5 Electric Power

25–6 Power in Household Circuits

25–7 Alternating Current

25–8 Microscopic View of Electric Current: Current Density and Drift Velocity

*25–9 Superconductivity

*25–10 Electrical Conduction in the Nervous System

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 26: DC CIRCUITS

26-1 EMF and Terminal Voltage

26-2 Resistors in Series and in Parallel

26-3 Kirchoff’s Rules

26-4 EMFs in Series and in Parallel; Charging a Battery

26-5 Circuits Containing Resistor and Capacitor (*RC* Circuits)

26-6 Electric Hazards

*26-7 Ammeters and Voltmeters

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 27: MAGNETISM

27-1 Magnets and Magnetic Fields

27-2 Electric Currents Produce Magnetic Fields

27-3 Force on an Electric Current in a Magnetic Field; Definition of

27-4 Force on an Electric Charge Moving in a Magnetic Field

27-5 Torque on a Current Loop; Magnetic Dipole Moment

*27-6 Applications: Galvanometers, Motors, Loudspeakers

27-7 Discover and Properties of the Electron

*27-8 The Hall Effect

*27-9 Mass Spectrometer

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 28: SOURCES OF MAGNETIC FIELD

28-1 Magnetic Field Due to a Straight Wire

28-2 Force between Two Parallel Wires

28-3 Definitions of the Ampere and the Coulomb

28-4 Ampere’s Law

28-5 Magnetic Field of a Solenoid and a Toroid

28-6 Biot-Savart Law

*28-7 Magnetic materials—Ferromagnetism

*28-8 Electromagnets and Solenoids–Applications

*28-9 Magnetic Fields in Magnetic Materials; Hysteresis

*28-10 Paramagnetism and Diamagnetism

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 29: ELECTROMAGNETIC INDUCTION AND FARADAY’S LAW

29-1 Induced EMF

29-2 Faraday’s Law of Induction; Lenz’s Law

29-3 EMF Induced in a Moving Conductor

29-4 Electric Generators

*29-5 Back EMF and Counter Torque; Eddy Currents

29-6 Transformers and Transmission of Power

29-7 A Changing Magnetic Flux Produces an Electric Field

*29-8 Applications of Induction: Sound Systems, Computer Memory, Seismograph, GFCI

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 30: INDUCTANCE, ELECTROMAGNETIC OSCILLATIONS, AND AC CIRCUITS

30-1 Mutual Inductance

30-2 Self-Inductance

30-3 Energy Stored in a Magnetic Field

30-4 *LR* Circuits

30-5 *LC* Circuits and Electromagnetic Oscillations

30-6 *LC *Oscillations with Resistance (*LRC* Circuit)

30-7 AC Circuits with AC Source

30-8 *LRC *Series AC Circuit

30-9 Resonance in AC Circuits

*30-10 Impedance Matching

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 31: MAXWELL’S EQUATIONS AND ELECTROMAGNETIC WAVES

31-1 Changing Electric Fields Produce Magnetic Fields; Ampere’s Law and Displacement Current

31-2 Gauss’s Law for Magnetism

31-3 Maxwell’s Equations

31-4 Production of Electromagnetic Waves

*31-5 Electromagnetic Waves, and Their Speed, from Maxwell’s Equations

31-6 Light as an Electromagnetic Wave and the Electromagnetic Spectrum

31-7 Measuring the Speed of Light

31-8 Energy in EM Waves; the Poynting Vector

*31-9 Radiation Pressure

*31-10 Radio and Television; Wireless Communication

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 32: LIGHT: REFLECTION AND REFRACTION

32-1 The Ray Model of Light

32-2 The Speed of Light and Index of Refraction

32-3 Reflection; Image Formation by a Plane Mirror

32-4 Formation of Images by Spherical Mirrors

32-5 Refraction: Snell’s Law

32-6 Visible Spectrum and Dispersion

32-7 Total Internal Reflection; Fiber Optics

*32-8 Refraction at a Spherical Surface

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 33: LENSES AND OPTICAL INSTRUMENTS

33-1 Thin Lenses; Ray Tracing

33-2 The Thin Lens Equation; Magnification

33-3 Combinations of Lenses

33-4 Lensmaker’s Equation

33-5 Cameras, Film and Digital

33-6 The Human Eye; Corrective Lenses

33-7 Magnifying Glass

33-8 Telescopes

*33-9 Compound Microscope

*33-10 Aberrations of Lenses and Mirrors

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 34: THE WAVE NATURE OF LIGHT; INTERFERENCE

34-1 Waves Versus Particles; Huygens’ Principle and Diffraction

34-2 Huygens’ Principle and the Law of Refraction

34-3 Interference—Young’s Double-Slit Experiment

34-4 Intensity in the Double-Slit Interference Pattern

34-5 Interference in Thin Films

*34-6 Michelson Interferometer

*34-7 Luminous Intensity

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 35: DIFFRACTION AND POLARIZATION

35-1 Diffraction by a Single Slit or Disk

35-2 Intensity in Single-Slit Diffraction Pattern

35-3 Diffraction in the Double-Slit Experiment

35-4 Limits of Resolution; Circular Apertures

35-5 Resolution of Telescopes and Microscopes; the λ Limit

*35-6 Resolution of the Human Eye and Useful Magnification

35-7 Diffraction Grating

*35-8 The Spectrometer and Spectroscopy

*35-9 Peak Widths and Resolving Power for a Diffraction Grating

*35-10 X-Rays and X-Ray Diffraction

35-11 Polarization

*35-12 Liquid Crystal Displays (LCD)

*35-13 Scattering of Light by the Atmosphere

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS ** **

CHAPTER 36: SPECIAL THEORY OF RELATIVITY

36-1 Galilean–Newtonian Relativity

*36-2 The Michelson-Morley Experiment

36-3 Postulates of the Special Theory of Relativity

36-4 Simultaneity

36-5 Time Dilation and the Twin Paradox

36-6 Length Contraction

36-7 Four-Dimensional Space-Time

36-8 Galilean and Lorentz Transformations

36-9 Relativistic Momentum and Mass

36-10 The Ultimate Speed

36-11 Energy and Mass; *E=mc* * ^{2} *

36-12 Doppler Shift for Light

36-13 The Impact of Special Relativity

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 37: EARLY QUANTUM THEORY AND MODELS OF THE ATOM

37-1 Planck’s Quantum Hypothesis

37-2 Photon Theory of Light and the Photoelectric Effect

37-3 Photons and the Compton Effect

37-4 Photon Interactions; Pair Production

37-5 Wave-Particle Duality; the Principle of Complementarity

37-6 Wave Nature of Matter

*37-7 Electron Microscopes

37-8 Early Models of the Atom

37-9 Atomic Spectra: Key to the Structure of the Atom

37-10 The Bohr Model

37-11 DeBroglie’s Hypothesis Applied to Atoms

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 38: QUANTUM MECHANICS

38-1 Quantum Mechanics—A New Theory

38-2 The Wave Function and Its Interpretation; the Double-Slit Experiment

38-3 The Heisenberg Uncertainty Principle

38-4 Philosophic Implications; Probability Versus Determinism

38-5 The Schrodinger Equation in One Dimension—Time-Independent Form

*38-6 Time-Dependent Schrodinger Equation

38-7 Free Particles; Plane Waves and Wave Packets

38-8 Particle in an Infinitely Deep Square Well Potential (a Rigid Box)

*38-9 Finite Potential Well

38-10 Tunneling through a Barrier

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 39: QUANTUM MECHANICS OF ATOMS

39-1 Quantum-Mechanical View of Atoms

39-2 Hydrogen Atom: Schrodinger Equation and Quantum Numbers

39-3 Hydrogen Atom Wave Functions

39-4 Complex Atoms; the Exclusion Principle

39-5 The Periodic Table of Elements

39-6 X-Ray Spectra and Atomic Number

*39-7 Magnetic Dipole Moments; Total Angular Momentum

*39-8 Fluorescence and Phosphorescence

*39-9 Lasers

*39-10 Holography

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 40: MOLECULES AND SOLIDS

40-1 Bonding in Molecules

40-2 Potential-Energy Diagrams for Molecules

40-3 Weak (van der Waals) Bonds

40-4 Molecular Spectra

40-5 Bonding in Solids

40-6 Free-Electron Theory of Metals

40-7 Band Theory of Solids

40-8 Semiconductors and Doping

*40-9 Semiconductor Diodes

*40-10 Transistors and Integrated Circuits

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 41: NUCLEAR PHYSICS AND RADIOACTIVITY

41-1 Structure and Properties of the Nucleus

41-2 Binding Energy and Nuclear Forces

41-3 Radioactivity

41-4 Alpha Decay

41-5 Beta Decay

41-6 Gamma Decay

41-7 Conservation of Nucleon Number and Other Conservation Laws

41-8 Half-Life and Rate of Decay

41-9 Decay Series

41-10 Radioactive Dating

41-11 Detection of Radiation

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 42: NUCLEAR ENERGY: EFECTS AND USES OF RADIATION

42-1 Nuclear Reactions and the Transmutations of Elements

42-2 Cross Section

42-3 Nuclear Fission; Nuclear Reactors

42-4 Fusion

42-5 Passage of radiation through matter; Radiation Damage

42-6 Measurement of Radiation—Dosimetry

*42-7 Radiation Therapy

*42-8 Tracers

*42-9 Imaging by Tomography: CAT Scans, and Emission Tomography

*42-10 Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI)

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 43: ELEMENTARY PARTICLES

43-1 High-Energy Particles

43-2 Particle Accelerators and Detectors

43-3 Beginnings of Elementary Particle Physics–Particle Exchange

43-4 Particles and Antiparticles

43-5 Particle Interactions and Conservation Laws

43-6 Particle Classification

43-7 Particle Stability and Resonances

43-8 Strange Particles

43-9 Quarks

43-10 The “Standard Model”: Quantum Chromodynamics (QCD) and the Electroweak Theory

43-11 Grand Unified Theories

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

CHAPTER 44: ASTROPHYSICS AND COSMOLOGY

44-1 Stars and Galaxies

44-2 Stellar Evolution; the Birth and Death of Stars

44-3 General Relativity: Gravity and the Curvature of Space

44-4 The Expanding Universe

44-5 The Big Bang and the Cosmic Microwave Background

44-6 The Standard Cosmological Model: Early History of the Universe

44-7 The Future of the Universe?

SUMMARY

QUESTIONS

PROBLEMS

GENERAL PROBLEMS

## Preface

## PREFACE

### A Brand New Third Edition

It has been more than ten years since the second edition of this calculus-based introductory physics textbook was published. A lot has changed since then, not only in physics itself, but also in how physics is presented. Research in how students learn has provided textbook authors new opportunities to help students learn physics and learn it well.

This third edition comes in two versions. The standard version covers all of classical physics plus a chapter on special relativity and one on the early quantum theory. The extended version, with modern physics, contains a total of nine detailed chapters on modern physics, ending with astrophysics and cosmology. This book retains the original approach: in-depth physics, concrete and nondogmatic, readable.

This new third edition has many improvements in the physics and its applications. Before discussing those changes in detail, here is a list of some of the overall changes that will catch the eye immediately.

**Full color throughout** is not just cosmetic, although fine color photographs do help to attract the student readers. More important, full color diagrams allow the physics to be displayed with much greater clarity. We have not stopped at a 4-color process; this book has actually been printed in 5 pure colors (5 passes through the presses) to provide better variety and definition for illustrating vectors and other physics concepts such as rays and fields. I want to emphasize that color is used pedagogically to bring out the physics. For example, different types of vectors are given different colors—see the chart on page xxxi.

**Many more diagrams,** almost double the number in the previous edition, have all been done or redone carefully using full color; there are many more graphs and many more photographs throughout. See for example in optics where new photographs show lenses and the images they make.

**Marginal notes** have been added as an aid to students to (i) point out what is truly important, (ii) serve as a sort of outline, and (iii) help students find details about something referred to later that they may not remember so well. Besides such "normal" marginal notes, there are also marginal notes that point out brief *problem solving* hints, and others that point out interesting *applications.*

**The great laws of physics** are emphasized by giving them a marginal note all in capital letters and enclosed in a rectangle. The most important equations, especially those expressing the great laws, are further emphasized by a tan-colored screen behind them.

**Chapter opening photographs** have been chosen to illustrate aspects of each chapter. Each was chosen with an eye to writing a caption which could serve as a kind of summary of what is in that chapter, and sometimes offer a challenge. Some chapter-opening photos have vectors or other analysis superimposed on them.

**Page layout: complete derivations.** Serious attention has been paid to how each page was formatted, especially for page turns. Great effort has been made to keep important derivations and arguments on facing pages. Students then don't have to turn back to check. More important, readers repeatedly see before them, on two facing pages, an important slice of physics.

**Two kinds of Examples: Conceptual Examples** and **Estimates.**

### New Physics

The whole idea of a new edition is to improve, to bring in new material, and to delete material that is verbose and only makes the book longer or is perhaps too advanced and not so useful. Here is a brief summary of a few of the changes involving the physics itself. These lists are selections, not complete lists.

**New discoveries:**

- planets revolving around distant stars
- Hubble Space Telescope
- updates in particle physics and cosmology, such as inflation and the age of the universe

**New physics topics added:**

- new treatment of how to make estimates (Chapter 1), including new Estimating Examples throughout (in Chapter 1, estimating the volume of a lake, and the radius of the Earth)
- symmetry used much more, including for solving problems
- new Tables illustrating the great range of lengths, time intervals, masses, voltages
- gravitation as curvature of space, and black holes (Chapter 6)
- engine efficiency (Chapter 8 as well as Chapter 20)
- rolling with and without slipping, and other useful details of rotational motion (Chapter 10)
- forces in structures including trusses, bridges, arches, and domes (Chapter 12)
- square wave (Chapter 15)
- using the Maxwell distribution (Chapter 18)
- Otto cycle (Chapter 20)
- statistical calculation of entropy change in free expansion (Chapter 20)
- effects of dielectrics on capacitor connected and not (Chapter 24)
- grounding to avoid electric hazards (Chapter 25)
- three phase ac (Chapter 31)
- equal energy in
**E**and**B**of EM wave (Chapter 32) - radiation pressure, EM wave (Chapter 32)
- photos of lenses and mirrors with their images (Chapter 33)
- detailed outlines for ray tracing with mirrors and lenses (Chapters 33, 34)
- lens combinations (Chapter 34)
- new radiation standards (Chapter 43)
- Higgs boson, supersymmetry (Chapter 44)

**Modern physics.** A number of modern physics topics are discussed in the framework of classical physics. Here are some highlights:

- gravitation as curvature of space, and black holes (Chapter 6)
- planets revolving around distant stars (Chapter 6)
- kinetic energy at relativistic speeds (Chapter 7)
- nuclear collisions (Chapter 9)
- star collapse (Chapter 10)
- galaxy red shift, Doppler (Chapter 16)
- atoms, theory of (Chapters 17,18, 21)
- atomic theory of thermal expansion (Chapter 17)
- mass of hydrogen atom (Chapter 17)
- atoms and molecules in gases (Chapters 17,18)
- molecular speeds (Chapter 18)
- equipartition of energy; molar specific heats (Chapter 19)
- star size (Chapter 19)
- molecular dipoles (Chapters 21, 23)
- cathode ray tube (Chapters 23, 27)
- electrons in a wire (Chapter 25)
- superconductivity (Chapter 25)
- discovery and properties of the electron,
*e/m*, oil drop experiment (Chapter 27) - Hall effect (Chapter 27)
- magnetic moment of electrons (Chapter 27)
- mass spectrometer (Chapter 27)
- velocity selector (Chapter 27)
- electron spin in magnetic materials (Chapter 28)
- light and EM wave emission (Chapter 32)
- spectroscopy (Chapter 36)

Many other examples of modern physics are found as Problems, even in early chapters. Chapters 37 and 38 contain the modern physics topics of Special Relativity, and an introduction to Quantum Theory and Models of the Atom. The longer version of this text, "with Modern Physics," contains an additional seven chapters (for a total of nine) which present a detailed and extremely up-to-date treatment of modern physics: Quantum Mechanics of Atoms (Chapters 38 to 40); Molecules and Condensed Matter (Chapter 41); Nuclear Physics (Chapter 42 and 43); Elementary Particles (Chapter 44); and finally Astrophysics, General Relativity, and Cosmology (Chapter 45).

**Revised physics and reorganizations.** First of all, a major effort has been made to not throw everything at the students in the first few chapters. The basics have to be learned first; many aspects can come later, when the students are more prepared. Secondly, a great part of this book has been rewritten to make it clearer and more understandable to students. Clearer does not always mean simpler or easier. Sometimes making it "easier" actually makes it harder to understand. Often a little more detail, without being verbose, can make an explanation clearer. Here are a few of the changes, big and small:

- new graphs and diagrams to clarify velocity and acceleration; deceleration carefully treated.
- unit conversion now a new Section in Chapter 1, instead of interrupting kinematics.
- circular motion: Chapter 3 now gives only the basics, with more complicated treatment coming later: non-uniform circular motion in Chapter 5, angular variables in Chapter 10.
- Newton's second law now written throughout as
*m***a**= Σ**F**, to emphasize inclusion of all forces acting on a body. - Newton's third law follows the second directly, with inertial reference frames placed earlier. New careful discussions to head off confusion when using Newton's third law.
- careful rewriting of chapters on Work and Energy, especially potential energy, conservative and nonconservative forces, and the conservation of energy.
- renewed emphasis that ΣΤ =
*I**α*is not always valid: only for an axis fixed in an inertial frame or if axis is through the cm (Chapters 10 and 11). - rolling motion introduced early in Chapter 10, with more details later, including rolling with and without slipping.
- rotating frames of reference and Coriolis, moved later, to Chapter 11, shortened, optional, but still including why an object does not fall straight down on Earth.
- fluids reduced to a single chapter (13); some topics and details dropped or greatly shortened.
- clearer details on how an object floats (Chapter 13).
- distinction between wave interference in space, and in time (beats) (Chapter 16).
- thermodynamics reduced to four chapters; the old chapters on Heat and on the First Law of Thermodynamics have been combined into one (19), with some topics shortened and a more rational sequence of topics achieved.
- heat transfer now follows the first law of thermodynamics (Chapter 19).
- electric potential carefully rewritten for accuracy (Chapter 23).
- CRT, computer monitors, TV, treated earlier (Chapter 23).
- use of Q
_{encl}and I_{encl}for Gauss's and Ampere's laws, with subscripts meaning "enclosed". - Ohm's law and definition of resistance carefully redone (Chapter 25).
- sources of magnetic field, Chapter 28, reorganized for ease of understanding, with some new material, and deletion of the advanced topic on magnetization vector.
- circuits with
*L, C,*and/or*R*now introduced via Kirchhoff's loop rule, and clarified in other ways too (Chapters 30, 31). - streamlined Maxwell's equations, with displacement current downplayed (Chapter 32).
- optics reduced to four chapters; polarization is now placed in the same chapter as diffraction.

### New Pedagogy

All of the above mentioned revisions, rewritings, and reorganizations are intended to help students learn physics better. They were done in response to contemporary research in how students learn, as well as to kind and generous input from professors who have read, reviewed, or used the previous editions. This new edition also contains some new elements, especially an increased emphasis on conceptual development:

**Conceptual Examples,** typically 1 or 2 per chapter, sometimes more, are each a sort of brief Socratic question and answer. It is intended that students will be stimulated by the question to think, or reflect, and come up with a response—before reading the Response given. Here are a few:

- using symmetry (Chapters 1, 44, and elsewhere)
- ball moving upward: misconceptions (Chapter 2)
- reference frames and projectile motion: where does the apple land? (Chapter 3)
- what exerts the force that makes a car move? (Chapter 4)
- Newton's third law clarification: pulling a sled (Chapter 4)
- free-body diagram for a hockey puck (Chapter 4)
- advantage of a pulley (Chapter 4), and of a lever (Chapter 12)
- to push or to pull a sled (Chapter 5)
- which object rolls down a hill faster? (Chapter 10)
- moving the axis of a spinning wheel (Chapter 11)
- tragic collapse (Chapter 12)
- finger at top of a full straw (Chapter 13)
- suction cups on a spacecraft (Chapter 13)
- doubling amplitude of SHM (Chapter 14)
- do holes expand thermally? (Chapter 17)
- simple adiabatic process: stretching a rubber band (Chapter 19)
- charge inside a conductor's cavity (Chapter 22)
- how stretching a wire changes its resistance (Chapter 25)
- series or parallel (Chapter 26)
- bulb brightness (Chapter 26)
- spiral path in magnetic field (Ch. 27)
- practice with Lenz's law (Chapter 29)
- motor overload (Chapter 29)
- emf direction in inductor (Chapter 30)
- photo with reflection—is it upside down? (Chapter 33)
- reversible light rays (Chapter 33)
- how tall must a full-length mirror be? (Chapter 33)
- diffraction spreading (Chapter 36)

**Estimating Examples,** roughly 10% of all Examples, also a new feature of this edition, are intended to develop the skills for making order-of-magnitude estimates, even when the data are scarce, and even when you might never have guessed that any result was possible at all. See, for example, Section 1-6, Examples 1-5 to 1-8.

### Problem Solving, with New and Improved Approaches

Learning how to approach and solve problems is a basic part of any physics course. It is a highly useful skill in itself, but is also important because the process helps bring under standing of the physics. Problem solving in this new edition has a significantly increased emphasis, including some new features.

**Problem-solving boxes,** about 20 of them, are new to this edition. They are more concentrated in the early chapters, but are found throughout the book. They each outline a step-by-step approach to solving problems in general, and/or specifically for the material being covered. The best students may find these separate "boxes" unnecessary (they can skip them), but many students will find it helpful to be reminded of the general approach and of steps they can take to get started; and, I think, they help to build confidence. The general problem solving box in Section 4-8 is placed there, after students have had some experience wrestling with problems, and so may be strongly motivated to read it with close attention. Section 4-8 can, of course, be covered earlier if desired.

**Problem-solving Sections** occur in many chapters, and are intended to provide extra drill in areas where solving problems is especially important or detailed.

**Examples.** This new edition has many more worked-out Examples, and they all now have titles for interest and for easy reference. There are even two new categories of Example: Conceptual, and Estimates, as described above. Regular Examples serve as "practice problems". Many new ones have been added, some of the old ones have been dropped, and many have been reworked to provide greater clarity and detail: more steps are spelled out, more of "why we do it this way", and more discussion of the reasoning and approach. In sum, the idea is "to think aloud with the students", leading them to develop insight. The total number of worked-out Examples is about 30% greater than in the previous edition, for an average of 12 to 15 per chapter. There is a significantly higher concentration of Examples in the early chapters, where drill is especially important for developing skills and a variety of approaches. The level of the worked-out Examples for most topics increases gradually, with the more complicated ones being on a par with the most difficult Problems at the end of each chapter, so that students can see how to approach complex problems. Many of the new Examples, and improvements to old ones, provide relevant applications to engineering, other related fields, and to everyday life.

**Problems** at the end of each chapter have been greatly increased in quality and quantity. There are over 30% more Problems than in the second edition. Many of the old ones have been replaced, or rewritten to make them clearer, and/or have had their numerical values changed. Each chapter contains a large group of Problems arranged by Section and graded according to difficulty: level I Problems are simple, designed to give students confidence; level II are "normal" Problems, providing more of a challenge and often the combination of two different concepts; level III are the most complex, typically combining different issues, and will challenge even superior students. The arrangement by Section number means only that those Problems depend on material up to and including that Section: earlier material may also be relied upon. The ranking of Problems by difficulty (I, II, III) is intended only as a guide.

**General Problems.** About 70% of Problems are ranked by level of difficulty (I, II, III) and arranged by Section. New to this edition are General Problems that are unranked and grouped together at the end of each chapter, and account for about 30% of all problems. The average total number of Problems per chapter is about 90. Answers to odd-numbered Problems are given at the back of the book.

### Complete Physics Coverage, with Options

This book is intended to give students the opportunity to obtain a thorough background in all areas of basic physics. There is great flexibility in choice of topics so that instructors can choose which topics they cover and which they omit. Sections marked with an asterisk care be considered optional, as discussed more fully on p. xxv. Here I want to emphasize that topics not covered in class can still be read by serious students for their own enrichment, either immediately or later. Here is a partial list of physics topics, not the standard ones, but topic that might not usually be covered, and that represent how thorough this book is in its coverage of basic physics. Section numbers are given in parentheses.

_{CM}= I

_{CM}α

_{CM}

*K*=

*K*

_{CM}+

*K*

_{rot}

*d*

**L**

_{CM}/

*dt*= Σ Τ

_{CM}(11-4)

*Q*-value (14-8)

*RC*circuits (26-4)

**B**is nonconservative (29-7)

*LC*circuits and EM oscillations (30-5)

### New Applications

Relevant applications to everyday life, to engineering, and to other fields such as geology and medicine, provide students with motivation and offer the instructor the opportunity to show the relevance of physics. Applications are a good response to students who ask "Why study physics?" Many new applications have been added in this edition. Here are some highlights:

- airbags (Chapter 2)
- elevator and counterweight (Chapter 4)
- antilock brakes and skidding (Chapter 5)
- geosynchronous satellites (Chapter 6)
- hard drive and bit speed (Chapter 10)
- star collapse (Chapter 10)
- forces within trusses, bridges, arches, domes (Chapter 12)
- the Titanic (Chapter 12)
- Bernoulli's principle: wings, sailboats, TIA, plumbing traps and bypasses (Chapter 13)
- pumps (Chapter 13)
- car springs, shock absorbers, building dampers for earthquakes (Chapter 14)
- loudspeakers (Chapters 14,16, 27)
- autofocusing cameras (Chapter 16)
- sonar (Chapter 16)
- ultrasound imaging (Chapter 16)
- thermal stresses (Chapter 17)
- R-values, thermal insulation (Ch. 19)
- engines (Chapter 20)
- heat pumps, refrigerators, AC; coefficient of performance (Chapter 20)
- thermal pollution (Chapter 20)
- electric shielding (Chapters 21, 28)
- photocopier (Chapter 21)
- superconducting cables (Chapter 25)
- jump starting a car (Chapter 26)
- aurora borealis (Chapter 27)
- solenoids and electromagnetics (Ch. 28)
- computer memory and digital information (Chapter 29)
- seismograph (Chapter 29)
- tape recording (Chapter 29)
- loudspeaker crossover network (Ch. 31)
- antennas, for
**E**or**B**(Chapter 32) - TV and radio; AM and FM (Chapter 32)
- eye and corrective lenses (Chapter 34)
- mirages (Chapter 35)
- liquid crystal displays (Chapter 36)
- CAT scans, PET, MRI (Chapter 43)

Some old favorites retained (and improved):

- pressure gauges (Chapter 13)
- musical instruments (Chapter 16)
- humidity (Chapter 18)
- CRT,TV, computer monitors (Ch. 23, 27)
- electric hazards (Chapter 25)
- power in household circuits (Chapter 25)
- ammeters and voltmeters (Chapter 26)
- microphones (Chapters 26, 29)
- transducers (Chapter 26, and elsewhere)
- electric motors (Chapter 27)
- car alternator (Chapter 29)
- electric power transmission (Chapter 29)
- capacitors as filters (Chapter 31)
- impedance matching (Chapter 31)
- fiber optics (Chapter 33)
- cameras, telescopes, microscopes, other optical instruments (Chapter 34)
- lens coatings (Chapter 35)
- spectroscopy (Chapter 36)
- electron microscopes (Chapter 38)
- lasers, holography, CD players (Ch. 40)
- semiconductor electronics (Chapter 41)
- radioactivity (Chapters 42 and 43)

### Deletions

Something had to go, or the book would have been too long. Lots of subjects were shortened—the detail simply isn't necessary at this level. Some topics were dropped entirely: polar coordinates; center-of-momentum reference frame; Reynolds number (now a Problem); object moving in a fluid and sedimentation; derivation of Poiseuille's equation; Stokes equation; waveguide and transmission line analysis; electric polarization and electric displacement vectors; potentiometer (now a Problem); negative pressure; combinations of two harmonic motions; adiabatic character of sound waves; central forces.

Many topics have been shortened, often a lot, such as: velocity-dependent forces; variable acceleration; instantaneous axis; surface tension and capillarity; optics topics such as some aspects of light polarizarion. Many of the brief historical and philosophical issues have been shortened as well.

### General Approach

This book offers an in-depth presentation of physics, and retains the basic approach of the earlier editions. Rather than using the common, dry, dogmatic approach of treating topics formally and abstractly first, and only later relating the material to the students' own experience, my approach is to recognize that physics is a description of reality and thus to start each topic with concrete observations and experiences that students can directly relate to. Then we move on to the generalizations and more formal treatment of the topic. Not only does this make the material more interesting and easier to understand, but it is closer to the way physics is actually practiced.

This new edition, even more than previous editions, aims to explain the physics in a readable and interesting manner that is accessible and clear. It aims to teach students by anticipating their needs and difficulties, but without oversimplifying. Physics is all about us. Indeed, it is the goal of this book to help students "see the world through eyes that know physics."

As mentioned above, this book includes of a wide range of Examples and applications from technology, engineering, architecture, earth sciences, the environment, biology, medicine, and daily life. Some applications serve only as examples of physical principles. Others are treated in depth. But applications do not dominate the text—this is, after all, a physics book. They have been carefully chosen and integrated into the text so as not to interfere with the development of the physics but rather to illuminate it. You won't find essay sidebars here. The applications are integrated right into the physics. To make it easy to spot the applications, a new *Physics Applied* marginal note is placed in the margin (except where diagrams in the margin prevent it).

It is assumed that students have started calculus or are taking it concurrently. Calculus is treated gently at first, usually in an optional Section so as not to burden students taking calculus concurrently. For example, using the integral in kinematics, Chapter 2, is an optional Section. But in Chapter 7, on work, the integral is discussed fully for all readers.

Throughout the text, *Système International* (SI) units are used. Other metric and British units are defined for informational purposes. Careful attention is paid to significant figures. When a certain value is given as, say, 3, with its units, it is meant to be 3, not assumed to be 3.0 or 3.00. When we mean 3.00 we write 3.00. It is important for students to be aware of the uncertainty in any measured value, and not to overestimate the precision of a numerical result.

Rather than start this physics book with a chapter on mathematics, I have instead incorporated many mathematical tools, such as vector addition and multiplication, directly in the text where first needed. In addition, the Appendices contain a review of many mathematical topics such as trigonometric identities, integrals, and the binomial (and other) expansions. One advanced topic is also given an Appendix: integrating to get the gravitational force due to a spherical mass distribution.

It is necessary, I feel, to pay careful attention to detail, especially when deriving an important result. I have aimed at including all steps in a derivation, and have tried to make clear which equations are general, and which are not, by explicitly stating the limitations of important equations in brackets next to the equation, such as

*x = x _{O} + v_{O} t + ½at^{2}*. constant acceleration

The more detailed introduction to Newton's laws and their use is of crucial pedagogic importance. The many new worked-out Examples include initially fairly simple ones that provide careful step-by-step analysis of how to proceed in solving dynamics problems. Each succeeding Example adds a new element or a new twist that introduces greater complexity. It is hoped that this strategy will enable even less-well-prepared students to acquire the tools for using Newton's laws correctly. If students don't surmount this crucial hurdle, the rest of physics may remain forever beyond their grasp.

Rotational motion is difficult for most students. As an example of attention to detail (although this is not really a "detail"), I have carefully distinguished the position vector (**r**) of a point and the perpendicular distance of that point from an axis, which is called *R* in this book (see Fig. 10-2). This distinction, which enters particularly in connection with torque, moment of inertia, and angular momentum, is often not made clear—it is a disservice to students to use **r** or *r* for both without distinguishing. Also, I have made clear that it is not always true that ΣΤ = *I*_{CM}α_{CM}. It depends on the axis chosen (valid if axis is fixed in an inertial reference frame, or through the cm). To not tell this to students can get them into serious trouble. (See pp. 250, 283, 284.) I have treated rotational motion by starting with the simple instance of rotation about an axis (Chapter 10), including the concepts of angular momentum and rotational kinetic energy. Only in Chapter 11 is the more general case of rotation about a point dealt with, and this slightly more advanced material can be omitted if desired (except for Sections 11-1 and 11-2 on the vector product and the torque vector). The end of Chapter 10 has an optional subsection containing three slightly more advanced Examples, using ΣΤ _{CM} = *I*_{CM}α_{CM}: car braking distribution, a falling yo-yo, and a sphere rolling with and without slipping.

Among other special treatments is Chapter 28, Sources of Magnetic Field: here, in one chapter, are discussed the magnetic field due to currents (including Ampère's law and the law of Biot-Savart) as well as magnetic materials, ferromagnetism, paramagnetism, and diamagnetism. This presentation is clearer, briefer, and more of a whole, and all the content is there.

### Organization

The general outline of this new edition retains a traditional order of topics: mechanics (Chapters 1 to 12); fluids, vibrations, waves, and sound (Chapter 13 to 16); kinetic theory and thermodynamics (Chapters 17 to 20). In the two-volume version of this text, volume I ends here, after Chapter 20. The text continues with electricity and magnetism (Chapters 21 to 32), light (Chapters 33 to 36), and modern physics (Chapters 37 and 38 in the short version, Chapters 37 to 45 in the extended version "with Modern Physics"). Nearly all topics customarily taught in introductory physics courses are included. A number of topics from modern physics are included with the classical physics chapters as discussed earlier.

The tradition of beginning with mechanics is sensible, I believe, because it was developed first, historically, and because so much else in physics depends on it. Within mechanics, there are various ways to order topics, and this book allows for considerable flexibility. I prefer, for example, to cover statics after dynamics, partly because many students have trouble working with forces without motion. Besides, statics is a special case of dynamics—we study statics so that we can prevent structures from becoming dynamic (falling down)—and that sense of being at the limit of dynamics is intuitively helpful. Nonetheless statics (Chapter 12) can be covered earlier, if desired, before dynamics, after a brief introduction to vector addition. Another option is light, which I have placed after electricity and magnetism and EM waves. But light could be treated immediately after the chapters on waves (Chapters 15 and 16). Special relativity is Chapter 37, but could instead be treated along with mechanics—say, after Chapter 9.

Not every chapter need be given equal weight. Whereas Chapter 4 might require 1½ to 2 weeks of coverage, Chapter 16 or 22 may need only ½ week.

Some instructors may find that this book contains more material than can be covered completely in their courses. But the text offers great flexibility in choice of topics. Sections marked with a star (asterisk) are considered optional. These Sections contain slightly more advanced physics material, or material not usually covered in typical courses, and/or interesting applications. They contain no material needed in later chapters (except perhaps in later optional Sections). This does not imply that all nonstarred Sections must be covered: there still remains considerable flexibility in the choice of material. For a brief course, all optional material could be dropped as well as major parts of Chapters 11,13, 16, 26, 30, 31, and 36 as well as selected parts of Chapters 9, 12, 19, 20, 32, 34, and the modern physics chapters. Topics not covered in class can be a valuable resource for later study; indeed, this text can serve as a useful reference for students for years because of its wide range of coverage.