HALLIDAY HALLIDAY
Quadratic Formula
If , then
Binomial Theorem. . . (x2 < 1)
Products of Vectors
Letube the smaller of the two angles between and . Then
. . a
xb
xa
yb
ya
zb
zab cos u
Trigonometric Identities
* See Appendix E for a more complete list.
cos cos 2 cos
12( ) cos
12( ) sin sin 2 sin
12( ) cos
12( )
|a
:ⴛ:b | ab sin
(a
xb
yb
xa
y)kˆ (a
yb
zb
ya
z)iˆ (a
zb
xb
za
x)jˆ
iˆ 兩 a b
yya b
zz兩
jˆ 兩 a b
xxa b
zz兩
kˆ 兩 a b
xxa b
yy兩
a
:ⴛ:b
:b
ⴛa
:兩 a b iˆxx a b jˆyy a b kˆzz兩
a
:b
:b
:a
:b
:a
: (1x)n1 nx1! n(n1)x2
2!
x b
1b
24ac
ax2bxc02a
Derivatives and Integrals
Cramer’s Rule Two simultaneous equations in unknowns x and y,
a
1x b
1y c
1and a
2x b
2y c
2,
have the solutionsand
. y
兩a a
12c c
12兩兩
a a
12b
1b
2兩a
1c
2a
2c
1a
1b
2a
2b
1x
兩c c
12b b
12兩兩
a a
12b b
12兩c
1b
2c
2b
1a
1b
2a
2b
1冕 (x
2dx a
2)
3/2x a
2(x
2a
2)
1/2冕 (x
2x dx a
2)
3/21 (x
2a
2)
1/2冕
2x dx
2a
2ln(x
2x
2a
2)
冕 e
xdx
e
xd
dx e
xe
x冕 cos x dx
sin x
d
dx cos x sin x
冕 sin x dx cos x
d
dx sin x cos x
SI Prefixes*
Factor Prefix Symbol Factor Prefix Symbol
1024 yotta Y 10–1 deci d
1021 zetta Z 10–2 centi c
1018 exa E 10–3 milli m
1015 peta P 10–6 micro m
1012 tera T 10–9 nano n
109 giga G 10–12 pico p
106 mega M 10–15 femto f
103 kilo k 10–18 atto a
102 hecto h 10–21 zepto z
101 deka da 10–24 yocto y
*In all cases, the first syllable is accented, as in ná-no-mé-ter.
Mathematical Formulas*
halliday_ep_001-003hr.qxd 22-09-2009 11:00 Page 1
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F U N D A M E N T A L S O F P H Y S I C S
9
E D I T I O N T H E X T E N D E D
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F U N D A M E N T A L S O F P H Y S I C S
9
E D I T I O N T H
H A LLI D AY & R E S N I C K
Jearl Walker
Cleveland State University
John Wiley & Sons, Inc.
E X T E N D E D
halliday_fm_extended_hr1.qxd 26-01-2010 13:11 Page v
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Library of Congress Cataloging-in-Publication Data Halliday, David
Fundamentals of physics / David Halliday, Robert Resnick, Jearl Walker.—9th ed.
p. cm.
Includes index.
ISBN 978-0-470-46908-8
Binder-ready version ISBN 978-0-470-56473-8
1. Physics—Textbooks. I. Resnick, Robert II. Walker, Jearl III. Title.
QC21.3.H35 2011 530—dc22
2009033774
Printed in the United States of America 10 9 8 7 6 5 4 3 2 1
halliday_fm_extended_hr1.qxd 26-01-2010 13:11 Page vi
B R I E F C O N T E N T S
PART 1
1 Measurement
2 Motion Along a Straight Line
3 Vectors
4 Motion in Two and Three Dimensions
5 Force and Motion — I
6 Force and Motion — II
7 Kinetic Energy and Work
8 Potential Energy and Conservation of Energy
9 Center of Mass and Linear Momentum
10 Rotation
11 Rolling, Torque, and Angular Momentum
PART 2
12 Equilibrium and Elasticity
13 Gravitation
14 Fluids
15 Oscillations
16 Waves — I
17 Waves — II
18 Temperature, Heat, and the First Law of Thermodynamics
19 The Kinetic Theory of Gases
20 Entropy and the Second Law of Thermodynamics
PART 3
21 Electric Charge
22 Electric Fields
23 Gauss’ Law
24 Electric Potential
25 Capacitance
26 Current and Resistance
27 Circuits
28 Magnetic Fields
29 Magnetic Fields Due to Currents
30 Induction and Inductance
31 Electromagnetic Oscillations and Alternating Current
32 Maxwell’s Equations; Magnetism of Matter
PART 4
33 Electromagnetic Waves
34 Images
35 Interference
36 Diffraction
37 Relativity
PART 5
38 Photons and Matter Waves
39 More About Matter Waves
40 All About Atoms
41 Conduction of Electricity in Solids
42 Nuclear Physics
43 Energy from the Nucleus
44 Quarks, Leptons, and the Big Bang
vii
Appendices | Answers to Checkpoints and Odd-Numbered Questions and Problems | Index
Volume 1 Volume 2
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C O N T E N T S
5 FORCE AND MOTION—I
875-1 What Is Physics?
875-2 Newtonian Mechanics
875-3 Newton’s First Law
875-4 Force
885-5 Mass
905-6 Newton’s Second Law
915-7 Some Particular Forces
955-8 Newton’s Third Law
985-9 Applying Newton’s Laws
100REVIEW & SUMMARY 105 QUESTIONS 106 PROBLEMS 108
6 FORCE AND MOTION—II
1166-1 What Is Physics?
1166-2 Friction
1166-3 Properties of Friction
1196-4 The Drag Force and Terminal Speed
1216-5 Uniform Circular Motion
124REVIEW & SUMMARY 129 QUESTIONS 129 PROBLEMS 130
7 KINETIC ENERGY AND WORK
1407-1 What Is Physics?
1407-2 What Is Energy?
1407-3 Kinetic Energy
1417-4 Work
1427-5 Work and Kinetic Energy
1427-6 Work Done by the Gravitational Force
1467-7 Work Done by a Spring Force
1497-8 Work Done by a General Variable Force
1517-9 Power
155REVIEW & SUMMARY 157 QUESTIONS 157 PROBLEMS 159
8 POTENTIAL ENERGY AND CONSERVATION OF ENERGY
1668-1 What Is Physics?
1668-2 Work and Potential Energy
1678-3 Path Independence of Conservative Forces
1688-4 Determining Potential Energy Values
1708-5 Conservation of Mechanical Energy
1738-6 Reading a Potential Energy Curve
1768-7 Work Done on a System by an External Force
1808-8 Conservation of Energy
183REVIEW & SUMMARY 186 QUESTIONS 187 PROBLEMS 189
1 MEASUREMENT
11-1 What Is Physics?
11-2 Measuring Things
11-3 The International System of Units
21-4 Changing Units
31-5 Length
31-6 Time
51-7 Mass
6REVIEW & SUMMARY 8 PROBLEMS 8
2 MOTION ALONG A STRAIGHT LINE
132-1 What Is Physics?
132-2 Motion
132-3 Position and Displacement
132-4 Average Velocity and Average Speed
142-5 Instantaneous Velocity and Speed
172-6 Acceleration
182-7 Constant Acceleration: A Special Case
222-8 Another Look at Constant Acceleration
242-9 Free-Fall Acceleration
252-10 Graphical Integration in Motion Analysis
27REVIEW & SUMMARY 29 QUESTIONS 29 PROBLEMS 30
3 VECTORS
383-1 What Is Physics?
383-2 Vectors and Scalars
383-3 Adding Vectors Geometrically
393-4 Components of Vectors
413-5 Unit Vectors
443-6 Adding Vectors by Components
443-7 Vectors and the Laws of Physics
473-8 Multiplying Vectors
47REVIEW & SUMMARY 52 QUESTIONS 53 PROBLEMS 54
4 MOTION IN TWO AND THREE DIMENSIONS
584-1 What Is Physics?
584-2 Position and Displacement
584-3 Average Velocity and Instantaneous Velocity
604-4 Average Acceleration and Instantaneous Acceleration
624-5 Projectile Motion
644-6 Projectile Motion Analyzed
664-7 Uniform Circular Motion
704-8 Relative Motion in One Dimension
734-9 Relative Motion in Two Dimensions
74REVIEW & SUMMARY 76 QUESTIONS 77 PROBLEMS 78
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9 CENTER OF MASS AND LINEAR MOMENTUM
2019-1 What Is Physics?
2019-2 The Center of Mass
2019-3 Newton’s Second Law for a System of Particles
2069-4 Linear Momentum
2109-5 The Linear Momentum of a System of Particles
2119-6 Collision and Impulse
2119-7 Conservation of Linear Momentum
2159-8 Momentum and Kinetic Energy in Collisions
2179-9 Inelastic Collisions in One Dimension
2189-10 Elastic Collisions in One Dimension
2219-11 Collisions in Two Dimensions
2249-12 Systems with Varying Mass: A Rocket
224REVIEW & SUMMARY 227 QUESTIONS 228 PROBLEMS 230
10 ROTATION
24110-1 What Is Physics?
24110-2 The Rotational Variables
24110-3 Are Angular Quantities Vectors?
24610-4 Rotation with Constant Angular Acceleration
24810-5 Relating the Linear and Angular Variables
25010-6 Kinetic Energy of Rotation
25310-7 Calculating the Rotational Inertia
25410-8 Torque
25810-9 Newton’s Second Law for Rotation
26010-10 Work and Rotational Kinetic Energy
262REVIEW & SUMMARY 264 QUESTIONS 266 PROBLEMS 267
11 ROLLING, TORQUE, AND ANGULAR MOMENTUM
27511-1 What Is Physics?
27511-2 Rolling as Translation and Rotation Combined
27511-3 The Kinetic Energy of Rolling
27711-4 The Forces of Rolling
27811-5 The Yo-Yo
28011-6 Torque Revisited
28111-7 Angular Momentum
28411-8 Newton’s Second Law in Angular Form
28511-9 The Angular Momentum of a System of Particles
28811-10 The Angular Momentum of a Rigid Body Rotating About a Fixed Axis
28811-11 Conservation of Angular Momentum
29011-12 Precession of a Gyroscope
294REVIEW & SUMMARY 295 QUESTIONS 296 PROBLEMS 297
12 EQUILIBRIUM AND ELASTICITY
30512-1 What Is Physics?
30512-2 Equilibrium
30512-3 The Requirements of Equilibrium
30612-4 The Center of Gravity
30812-5 Some Examples of Static Equilibrium
30912-6 Indeterminate Structures
31412-7 Elasticity
315REVIEW & SUMMARY 318 QUESTIONS 319 PROBLEMS 320
13 GRAVITATION
33013-1 What Is Physics?
33013-2 Newton’s Law of Gravitation
33013-3 Gravitation and the Principle of Superposition
33313-4 Gravitation Near Earth’s Surface
33413-5 Gravitation Inside Earth
33713-6 Gravitational Potential Energy
33913-7 Planets and Satellites: Kepler’s Laws
34213-8 Satellites: Orbits and Energy
34513-9 Einstein and Gravitation
347REVIEW & SUMMARY 349 QUESTIONS 350 PROBLEMS 351
14 FLUIDS
35914-1 What Is Physics?
35914-2 What Is a Fluid?
35914-3 Density and Pressure
35914-4 Fluids at Rest
36214-5 Measuring Pressure
36514-6 Pascal’s Principle
36614-7 Archimedes’ Principle
36714-8 Ideal Fluids in Motion
37114-9 The Equation of Continuity
37214-10 Bernoulli’s Equation
374REVIEW & SUMMARY 377 QUESTIONS 378 PROBLEMS 379
15 OSCILLATIONS
38615-1 What Is Physics?
38615-2 Simple Harmonic Motion
38615-3 The Force Law for Simple Harmonic Motion
39015-4 Energy in Simple Harmonic Motion
39215-5 An Angular Simple Harmonic Oscillator
39415-6 Pendulums
39515-7 Simple Harmonic Motion and Uniform Circular Motion
39815-8 Damped Simple Harmonic Motion
40015-9 Forced Oscillations and Resonance
402REVIEW & SUMMARY 403 QUESTIONS 403 PROBLEMS 405 halliday_fm_extended_hr1.qxd 26-01-2010 13:11 Page x
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xi16 WAVES—I
41316-1 What Is Physics?
41316-2 Types of Waves
41316-3 Transverse and Longitudinal Waves
41316-4 Wavelength and Frequency
41416-5 The Speed of a Traveling Wave
41716-6 Wave Speed on a Stretched String
42016-7 Energy and Power of a Wave Traveling Along a String
42116-8 The Wave Equation
42316-9 The Principle of Superposition for Waves
42516-10 Interference of Waves
42516-11 Phasors
42816-12 Standing Waves
43116-13 Standing Waves and Resonance
433REVIEW & SUMMARY 436 QUESTIONS 436 PROBLEMS 438
17 WAVES—II
44517-1 What Is Physics?
44517-2 Sound Waves
44517-3 The Speed of Sound
44617-4 Traveling Sound Waves
44817-5 Interference
45117-6 Intensity and Sound Level
45217-7 Sources of Musical Sound
45617-8 Beats
45917-9 The Doppler Effect
46117-10 Supersonic Speeds, Shock Waves
465REVIEW & SUMMARY 466 QUESTIONS 467 PROBLEMS 468
18 TEMPERATURE, HEAT, AND THE FIRST LAW OF THERMODYNAMICS
47618-1 What Is Physics?
47618-2 Temperature
47618-3 The Zeroth Law of Thermodynamics
47718-4 Measuring Temperature
47818-5 The Celsius and Fahrenheit Scales
47918-6 Thermal Expansion
48118-7 Temperature and Heat
48318-8 The Absorption of Heat by Solids and Liquids
48518-9 A Closer Look at Heat and Work
48818-10 The First Law of Thermodynamics
49118-11 Some Special Cases of the First Law of Thermodynamics
49218-12 Heat Transfer Mechanisms
494REVIEW & SUMMARY 497 QUESTIONS 499 PROBLEMS 500
19 THE KINETIC THEORY OF GASES
50719-1 What Is Physics?
50719-2 Avogadro’s Number
50719-3 Ideal Gases
50819-4 Pressure, Temperature, and RMS Speed
51119-5 Translational Kinetic Energy
51319-6 Mean Free Path
51419-7 The Distribution of Molecular Speeds
51619-8 The Molar Specific Heats of an Ideal Gas
51919-9 Degrees of Freedom and Molar Specific Heats
52319-10 A Hint of Quantum Theory
52519-11 The Adiabatic Expansion of an Ideal Gas
526REVIEW & SUMMARY 529 QUESTIONS 530 PROBLEMS 530
20 ENTROPY AND THE SECOND LAW OF THERMODYNAMICS
53620-1 What Is Physics?
53620-2 Irreversible Processes and Entropy
53620-3 Change in Entropy
53720-4 The Second Law of Thermodynamics
54120-5 Entropy in the Real World: Engines
54320-6 Entropy in the Real World: Refrigerators
54820-7 The Efficiencies of Real Engines
54920-8 A Statistical View of Entropy
550REVIEW & SUMMARY 554 QUESTIONS 555 PROBLEMS 556
21 ELECTRIC CHARGE
56121-1 What Is Physics?
56121-2 Electric Charge
56121-3 Conductors and Insulators
56321-4 Coulomb’s Law
56521-5 Charge Is Quantized
57021-6 Charge Is Conserved
572REVIEW & SUMMARY 573 QUESTIONS 573 PROBLEMS 575
22 ELECTRIC FIELDS
58022-1 What Is Physics?
58022-2 The Electric Field
58022-3 Electric Field Lines
58122-4 The Electric Field Due to a Point Charge
58222-5 The Electric Field Due to an Electric Dipole
58422-6 The Electric Field Due to a Line of Charge
58622-7 The Electric Field Due to a Charged Disk
59122-8 A Point Charge in an Electric Field
59222-9 A Dipole in an Electric Field
594REVIEW & SUMMARY 596 QUESTIONS 597 PROBLEMS 598
23 GAUSS’ LAW
60523-1 What Is Physics?
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23-2 Flux
60523-3 Flux of an Electric Field
60623-4 Gauss’ Law
60823-5 Gauss’ Law and Coulomb’s Law
61223-6 A Charged Isolated Conductor
61223-7 Applying Gauss’ Law: Cylindrical Symmetry
61523-8 Applying Gauss’ Law: Planar Symmetry
61723-9 Applying Gauss’ Law: Spherical Symmetry
619REVIEW & SUMMARY 620 QUESTIONS 621 PROBLEMS 622
24 ELECTRIC POTENTIAL
62824-1 What Is Physics?
62824-2 Electric Potential Energy
62824-3 Electric Potential
62924-4 Equipotential Surfaces
63124-5 Calculating the Potential from the Field
63324-6 Potential Due to a Point Charge
63524-7 Potential Due to a Group of Point Charges
63624-8 Potential Due to an Electric Dipole
63724-9 Potential Due to a Continuous Charge Distribution
63924-10 Calculating the Field from the Potential
64124-11 Electric Potential Energy of a System of Point Charges
64224-12 Potential of a Charged Isolated Conductor
644REVIEW & SUMMARY 646 QUESTIONS 647 PROBLEMS 648
25 CAPACITANCE
65625-1 What Is Physics?
65625-2 Capacitance
65625-3 Calculating the Capacitance
65925-4 Capacitors in Parallel and in Series
66225-5 Energy Stored in an Electric Field
66725-6 Capacitor with a Dielectric
66925-7 Dielectrics: An Atomic View
67125-8 Dielectrics and Gauss’ Law
672REVIEW & SUMMARY 675 QUESTIONS 675 PROBLEMS 676
26 CURRENT AND RESISTANCE
68226-1 What Is Physics?
68226-2 Electric Current
68226-3 Current Density
68526-4 Resistance and Resistivity
68926-5 Ohm’s Law
69226-6 A Microscopic View of Ohm’s Law
69326-7 Power in Electric Circuits
69526-8 Semiconductors
69626-9 Superconductors
697REVIEW & SUMMARY 698 QUESTIONS 699 PROBLEMS 700
27 CIRCUITS
70527-1 What Is Physics?
70527-2 “Pumping” Charges
70527-3 Work, Energy, and Emf
70627-4 Calculating the Current in a Single-Loop Circuit
70727-5 Other Single-Loop Circuits
70927-6 Potential Difference Between Two Points
71127-7 Multiloop Circuits
71427-8 The Ammeter and the Voltmeter
72027-9 RC Circuits
720REVIEW & SUMMARY 724 QUESTIONS 725 PROBLEMS 726
28 MAGNETIC FIELDS
73528-1 What Is Physics?
73528-2 What Produces a Magnetic Field?
73528-3 The Definition of
73628-4 Crossed Fields: Discovery of the Electron
74028-5 Crossed Fields: The Hall Effect
74128-6 A Circulating Charged Particle
74428-7 Cyclotrons and Synchrotrons
74728-8 Magnetic Force on a Current-Carrying Wire
75028-9 Torque on a Current Loop
75228-10 The Magnetic Dipole Moment
753REVIEW & SUMMARY 755 QUESTIONS 756 PROBLEMS 757
29 MAGNETIC FIELDS DUE TO CURRENTS
76429-1 What Is Physics?
76429-2 Calculating the Magnetic Field Due to a Current
76429-3 Force Between Two Parallel Currents
77029-4 Ampere’s Law
77129-5 Solenoids and Toroids
77429-6 A Current-Carrying Coil as a Magnetic Dipole
778REVIEW & SUMMARY 781 QUESTIONS 781 PROBLEMS 783
30 INDUCTION AND INDUCTANCE
79130-1 What Is Physics?
79130-2 Two Experiments
79130-3 Faraday’s Law of Induction
79230-4 Lenz’s Law
79430-5 Induction and Energy Transfers
79730-6 Induced Electric Fields
800B
: halliday_fm_extended_hr1.qxd 26-01-2010 13:11 Page xiiC ONTE NTS
xiii30-7 Inductors and Inductance
80530-8 Self-Induction
80630-9 RL Circuits
80730-10 Energy Stored in a Magnetic Field
81130-11 Energy Density of a Magnetic Field
81230-12 Mutual Induction
813REVIEW & SUMMARY 816 QUESTIONS 816 PROBLEMS 818
31 ELECTROMAGNETIC OSCILLATIONS AND ALTERNATING CURRENT
82631-1 What Is Physics?
82631-2 LC Oscillations, Qualitatively
82631-3 The Electrical–Mechanical Analogy
82931-4 LC Oscillations, Quantitatively
83031-5 Damped Oscillations in an RLC Circuit
83331-6 Alternating Current
83531-7 Forced Oscillations
83631-8 Three Simple Circuits
83631-9 The Series RLC Circuit
84231-10 Power in Alternating-Current Circuits
84731-11 Transformers
850REVIEW & SUMMARY 853 QUESTIONS 854 PROBLEMS 855
32 MAXWELL’S EQUATIONS; MAGNETISM OF MATTER
86132-1 What Is Physics?
86132-2 Gauss’ Law for Magnetic Fields
86232-3 Induced Magnetic Fields
86332-4 Displacement Current
86632-5 Maxwell’s Equations
86932-6 Magnets
86932-7 Magnetism and Electrons
87132-8 Magnetic Materials
87532-9 Diamagnetism
87532-10 Paramagnetism
87732-11 Ferromagnetism
879REVIEW & SUMMARY 881 QUESTIONS 883 PROBLEMS 884
33 ELECTROMAGNETIC WAVES
88933-1 What Is Physics?
88933-2 Maxwell’s Rainbow
88933-3 The Traveling Electromagnetic Wave, Qualitatively
89033-4 The Traveling Electromagnetic Wave, Quantitatively
89433-5 Energy Transport and the Poynting Vector
89733-6 Radiation Pressure
89933-7 Polarization
90133-8 Reflection and Refraction
90433-9 Total Internal Reflection
91133-10 Polarization by Reflection
912REVIEW & SUMMARY 913 QUESTIONS 914 PROBLEMS 915
34 IMAGES
92434-1 What Is Physics?
92434-2 Two Types of Image
92434-3 Plane Mirrors
92634-4 Spherical Mirrors
92834-5 Images from Spherical Mirrors
93034-6 Spherical Refracting Surfaces
93434-7 Thin Lenses
93634-8 Optical Instruments
94334-9 Three Proofs
946REVIEW & SUMMARY 948 QUESTIONS 949 PROBLEMS 950
35 INTERFERENCE
95835-1 What Is Physics?
95835-2 Light as a Wave
95835-3 Diffraction
96335-4 Young’s Interference Experiment
96435-5 Coherence
96935-6 Intensity in Double-Slit Interference
96935-7 Interference from Thin Films
97335-8 Michelson’s Interferometer
980REVIEW & SUMMARY 981 QUESTIONS 981 PROBLEMS 983
36 DIFFRACTION
99036-1 What Is Physics?
99036-2 Diffraction and the Wave Theory of Light
99036-3 Diffraction by a Single Slit: Locating the Minima
99236-4 Intensity in Single-Slit Diffraction, Qualitatively
99536-5 Intensity in Single-Slit Diffraction, Quantitatively
99736-6 Diffraction by a Circular Aperture
100036-7 Diffraction by a Double Slit
100336-8 Diffraction Gratings
100636-9 Gratings: Dispersion and Resolving Power
100936-10 X-Ray Diffraction
1011REVIEW & SUMMARY 1013 QUESTIONS 1014 PROBLEMS 1015
37 RELATIVITY
102237-1 What Is Physics?
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37-2 The Postulates
102337-3 Measuring an Event
102437-4 The Relativity of Simultaneity
102537-5 The Relativity of Time
102737-6 The Relativity of Length
103137-7 The Lorentz Transformation
103537-8 Some Consequences of the Lorentz Equations
103737-9 The Relativity of Velocities
103937-10 Doppler Effect for Light
104037-11 A New Look at Momentum
104237-12 A New Look at Energy
1043REVIEW & SUMMARY 1048 QUESTIONS 1049 PROBLEMS 1050
38 PHOTONS AND MATTER WAVES
105738-1 What Is Physics?
105738-2 The Photon, the Quantum of Light
105738-3 The Photoelectric Effect
105938-4 Photons Have Momentum
106238-5 Light as a Probability Wave
106538-6 Electrons and Matter Waves
106738-7 Schrödinger’s Equation
107138-8 Heisenberg’s Uncertainty Principle
107338-9 Barrier Tunneling
1074REVIEW & SUMMARY 1077 QUESTIONS 1077 PROBLEMS 1078
39 MORE ABOUT MATTER WAVES
108339-1 What Is Physics?
108339-2 String Waves and Matter Waves
108339-3 Energies of a Trapped Electron
108439-4 Wave Functions of a Trapped Electron
108839-5 An Electron in a Finite Well
109139-6 More Electron Traps
109339-7 Two- and Three-Dimensional Electron Traps
109539-8 The Bohr Model of the Hydrogen Atom
109639-9 Schrödinger’s Equation and the Hydrogen Atom
1099REVIEW & SUMMARY 1106 QUESTIONS 1107 PROBLEMS 1108
40 ALL ABOUT ATOMS
111240-1 What Is Physics?
111240-2 Some Properties of Atoms
111240-3 Electron Spin
111540-4 Angular Momenta and Magnetic Dipole Moments
111540-5 The Stern–Gerlach Experiment
111840-6 Magnetic Resonance
112040-7 The Pauli Exclusion Principle
112140-8 Multiple Electrons in Rectangular Traps
112140-9 Building the Periodic Table
112440-10 X Rays and the Ordering of the Elements
112740-11 Lasers and Laser Light
113140-12 How Lasers Work
1132REVIEW & SUMMARY 1135 QUESTIONS 1136 PROBLEMS 1137
41 CONDUCTION OF ELECTRICITY IN SOLIDS
114241-1 What Is Physics?
114241-2 The Electrical Properties of Solids
114241-3 Energy Levels in a Crystalline Solid
114341-4 Insulators
114441-5 Metals
114541-6 Semiconductors
115041-7 Doped Semiconductors
115241-8 The p-n Junction
115441-9 The Junction Rectifier
115641-10 The Light-Emitting Diode (LED)
115741-11 The Transistor
1159REVIEW & SUMMARY 1160 QUESTIONS 1161 PROBLEMS 1162
42 NUCLEAR PHYSICS
116542-1 What Is Physics?
116542-2 Discovering the Nucleus
116542-3 Some Nuclear Properties
116842-4 Radioactive Decay
117442-5 Alpha Decay
117742-6 Beta Decay
118042-7 Radioactive Dating
118342-8 Measuring Radiation Dosage
118442-9 Nuclear Models
1184REVIEW & SUMMARY 1187 QUESTIONS 1188 PROBLEMS 1189
43 ENERGY FROM THE NUCLEUS
119543-1 What Is Physics?
119543-2 Nuclear Fission: The Basic Process
119643-3 A Model for Nuclear Fission
119943-4 The Nuclear Reactor
120243-5 A Natural Nuclear Reactor
120643-6 Thermonuclear Fusion: The Basic Process
120743-7 Thermonuclear Fusion in the Sun and Other Stars
120943-8 Controlled Thermonuclear Fusion
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C ONTE NTS
xv44 QUARKS, LEPTONS, AND THE BIG BANG
121844-1 What Is Physics?
121844-2 Particles, Particles, Particles
121944-3 An Interlude
122244-4 The Leptons
122744-5 The Hadrons
122844-6 Still Another Conservation Law
123044-7 The Eightfold Way
123144-8 The Quark Model
123244-9 The Basic Forces and Messenger Particles
123544-10 A Pause for Reflection
123744-11 The Universe Is Expanding
123844-12 The Cosmic Background Radiation
123944-13 Dark Matter
124044-14 The Big Bang
124044-15 A Summing Up
1243REVIEW & SUMMARY 1244 QUESTIONS 1244 PROBLEMS 1245
APPENDICES
A The International System of Units (SI)
A-1B Some Fundamental Constants of Physics
A-3C Some Astronomical Data
A-4D Conversion Factors
A-5E Mathematical Formulas
A-9F Properties of the Elements
A-12G Periodic Table of the Elements
A-15ANSWERS
to Checkpoints and Odd-Numbered Questions and Problems
AN-1INDEX
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P R E F A C E
WHY I WROTE THIS BOOK
Fun with a big challenge. That is how I have regarded physics since the day when Sharon, one of the students in a class I taught as a graduate student, suddenly demanded of me, “What has any of this got to do with my life?” Of course I immediately responded, “Sharon, this has everything to do with your life—this is physics.”
She asked me for an example. I thought and thought but could not come up with a single one. That night I began writing the book The Flying Circus of Physics (John Wiley & Sons Inc., 1975) for Sharon but also for me because I realized her complaint was mine. I had spent six years slugging my way through many dozens of physics textbooks that were carefully written with the best of pedagog- ical plans, but there was something missing. Physics is the most interesting subject in the world because it is about how the world works, and yet the textbooks had been thoroughly wrung of any connection with the real world. The fun was missing.
I have packed a lot of real-world physics into this HRW book, connecting it with the new edition of The Flying Circus of Physics. Much of the material comes from the HRW classes I teach, where I can judge from the faces and blunt comments what material and presentations work and what do not. The notes I make on my successes and failures there help form the basis of this book. My mes- sage here is the same as I had with every student I’ve met since Sharon so long ago: “Yes, you can reason from basic physics concepts all the way to valid conclusions about the real world, and that understanding of the real world is where the fun is.”
I have many goals in writing this book but the overriding one is to provide instructors with tools by which they can teach students how to effectively read scientific material, identify fundamental concepts, reason through scientific questions, and solve quantitative problems. This process is not easy for either students or instructors. Indeed, the course associated with this book may be one of the most challenging of all the courses taken by a student. However, it can also be one of the most rewarding because it reveals the world’s fundamental clockwork from which all scientific and engi- neering applications spring.
Many users of the eighth edition (both instructors and students) sent in comments and suggestions to improve the book.These improvements are now incorporated into the narrative and problems throughout the book. The publisher John Wiley & Sons and I regard the book as an ongoing project and encourage more input from users. You can send suggestions, corrections, and positive or negative comments to John Wiley & Sons or Jearl Walker (mail address: Physics Department, Cleveland State University, Cleveland, OH 44115 USA; or email address: [email protected]; or the blog site at
www.flyingcircusofphysics. com). We may not be able to respond to all suggestions, but we keep andstudy each of them.
LEARNINGS TOOLS
Because today’s students have a wide range of learning styles, I have produced a wide range of learning tools, both in this new edi- tion and online in WileyPLUS:
ANIMATIONS of one of the key figures in each chapter.
Here in the book, those figures are flagged with the swirling icon. In the online chapter in WileyPLUS, a mouse click begins the animation. I have chosen the figures that are rich in information so that a student can see the physics in action and played out over a minute or two instead of just being flat on a printed page. Not only does this give life to the physics, but the ani- mation can be repeated as many times as a student wants.
VIDEOS I have made well over 1000 instructional videos, with more coming each semester. Students can watch me draw or type on the screen as they hear me talk about a solution, tutorial, sample problem, or review, very much as they
xvii Animation
A
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would experience were they sitting next to me in my office while I worked out something on a notepad. An instruc- tor’s lectures and tutoring will always be the most valuable learning tools, but my videos are available 24 hours a day, 7 days a week, and can be repeated indefinitely.
• Video tutorials on subjects in the chapters. I chose the
subjects that challenge the students the most, the ones that my students scratch their heads about.
• Video reviews of high school math, such as basic algebraic manip-
ulations, trig functions, and simulta- neous equations.
• Video introductions to math, such as vector multiplication, that will be new
to the students.
• Video presentations of every Sample Problem in the textbook chapters
(both 8e and 9e). My intent is to work out the physics, starting with the Key Ideas instead of just grabbing a formula. However, I also want to demonstrate how to read a sample problem, that is, how to read technical material to learn problem-solving procedures that can be transferred to other types of problems.
• Video solutions to 20% of the end-of chapter problems. The availability and
timing of these solutions are controlled by the instructor. For example, they might be available after a homework deadline or a quiz. Each solution is not simply a plug-and-chug recipe. Rather I build a solution from the Key Ideas to the first step of reasoning and to a final solution. The student learns not just how to solve a particular problem but how to tackle any problem, even those that require physics courage.
• Video examples of how to read data from graphs (more than simply read-
ing off a number with no comprehension of the physics).
READING MATERIAL I have written a large number of reading resources for WileyPLUS.
• Every sample problem in the textbook (both 8e and 9e) is available online
in both reading and video formats.
• Hundreds of additional sample problems. These are available as stand-
alone resources but (at the discretion of the instructor) they are also linked out of the homework problems. So, if a homework problem deals with, say, forces on a block on a ramp, a link to a related sample problem is provided.
However, the sample problem is not just a replica of the homework problem and thus does not provide a solution that can be merely duplicated without comprehension.
• GO Tutorials for 10% of the end-of-chapter homework problems. In
multiple steps, I lead a student through a homework problem, starting with the Key Ideas and giving hints when wrong answers are submitted.
However, I purposely leave the last step (for the final answer) to the student so that they are responsible at the end. Some online tutorial systems trap a student when wrong answers are given, which can generate a lot of frustration. My GO Tutorials are not traps, because at any step along the way, a student can return to the main problem.
• Hints on every end-of-chapter homework problem are available online (at the discretion of the
instructor). I wrote these as true hints about the main ideas and the general procedure for a solution, not as recipes that provide an answer without any comprehension.
EVALUATION MATERIALS Both self-evaluations and instructor evaluations are available.
• Reading questions are available within each online section. I wrote these so that they do
not require analysis or any deep understanding; rather they simply test whether a student has read the
GO TutorialVideo Review xviii
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section. When a student opens up a section, a randomly chosen read- ing question (from a bank of questions) appears at the end. The instructor can decide whether the question is part of the grading for that section or whether it is just for the benefit of the student.
• Checkpoints are available within most sections. I wrote these so
that they require analysis and decisions about the physics in the section. Answers to all checkpoints are in the back of the book.
• All end-of-chapter homework questions and problems in the book (and many more problems)
are available in WileyPLUS. The instructor can construct a homework assignment and control how it is graded when the answers are submitted online. For example, the instructor controls the deadline for submission and how many attempts a student is allowed on an answer. The instructor also controls which, if any, learning aids are available with
each homework problem. Such links can include hints, sample prob- lems, in-chapter reading materials, video tutorials, video math reviews, and even video solutions (which can be made available to the students after, say, a homework deadline).
• Symbolic notation problems are available in every chapter and
require algebraic answers.
DEMONSTRATIONS AND INTERACTIVE SIMULATIONS These have been produced by a number of instructors, to provide the experience of a computerized lab and lecture-room demonstrations.
ART PROGRAM
•
Many of the figures in the book have been modified to make the physics ideas more pronounced.
•
At least one key figure per chapter has been greatly expanded so that its message is conveyed in steps.
FLYING CIRCUS OF PHYSICS
•
Flying Circus material has been incorporated into the text in several ways: Sample Problems, text examples, and end-of-chapter Problems. The purpose of this is two-fold: (1) make the subject more interesting and engaging, (2) show the student that the world around them can be examined and understood using the fundamental principles of physics.
•
Links to The Flying Circus of Physics are shown throughout the text material and end-of- chapter problems with a biplane icon. In the electronic version of this book, click- ing on the icon takes you to the corresponding item in Flying Circus. The bibliography of Flying Circus (over 11 000 references to scientific and engineering journals) is located at
www.flyingcircusofphysics.com.SAMPLE PROBLEMS are chosen to demonstrate how problems can be solved with reasoned solu- tions rather than quick and simplistic plugging of numbers into an equation with no regard for what the equation means.
KEY IDEAS in the sample problems focus a student on the basic concepts at the root of the solution to a problem. In effect, these key ideas say, “We start our solution by using this basic concept, a pro- cedure that prepares us for solving many other problems.We don’t start by grabbing an equation for a quick plug-and-chug, a procedure that prepares us for nothing.”
WHAT IS PHYSICS? The narrative of every chapter begins with this question, and with an answer that pertains to the subject of the chapter. (A plumber once asked me, “What do you do for a liv- ing?” I replied, “I teach physics.” He thought for several minutes and then asked, “What is physics?”
The plumber’s career was entirely based on physics, yet he did not even know what physics is. Many students in introductory physics do not know what physics is but assume that it is irrelevant to their chosen career.)
CHECKPOINT 1
The figure shows a circular path taken by a particle. If the instantaneous velocity of the particle is , through which quadrant is the particle moving at that instant if it is traveling (a) clock- wise and (b) counterclockwise around the circle? For both cases, draw on the figure.v:
v:⫽(2 m /s)iˆ⫺(2 m /s)jˆ
y
x
x y
O θ 0 v0 v0y
v0x y
O
O x vx vyv
x y
y
O vy= 0
v
x y
O
vx vy v
x y
O
vx Ov0x x
O vx x
O x vx
O x
vx
O x
vx y
O v0y
O vy
y y
O vy= 0
y
O vy
y
vx vy θ v vx
vy Vertical motion
Vertical velocity
Launch Launch
Speed decreasing
Constant velocity
Speed increasing
Constant velocity
Constant velocity Stopped at
maximum height
Constant velocity
+ Horizontal motion ¬ Projectile motion
Launch velocity Launch angle This vertical motion plus
this horizontal motion produces this projectile motion.
A
Fig. 4-9The projectile motion of an object launched into the air at the origin of a coordinate system and with launch velocity at angle u0.The motion is a combination of vertical motion (constant acceleration) and horizontal motion (constant veloc- ity), as shown by the velocity components.
:v 0
Checkpoint
Expanded Figure
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xix halliday_fm_extended_hr1.qxd 26-01-2010 13:11 Page xixICONS FOR ADDITIONAL HELP. When worked-out solutions are provided either in print or elec- tronically for certain of the odd-numbered problems, the statements for those problems include an icon to alert both student and instructor as to where the solutions are located. An icon guide is pro- vided here and at the beginning of each set of problems
Tutoring problem available (at instructor’s discretion) in WileyPLUSand WebAssign SSM Worked-out solution available in Student Solutions Manual
• – ••• Number of dots indicates level of problem difficulty
Additional information available in The Flying Circus of Physicsand at flyingcircusofphysics.com
WWWWorked-out solution is at
ILW Interactive solution is at http://www.wiley.com/college/halliday
VERSIONS OF THE TEXT
To accommodate the individual needs of instructors and students, the ninth edition of Fundamentals of Physics is available in a number of different versions.
The Regular Edition consists of Chapters 1 through 37 (ISBN 978-0-470-04472-8).
The Extended Edition contains seven additional chapters on quantum physics and cosmology, Chapters 1–44 (ISBN 978-0-471-75801-3).
Both editions are available as single, hardcover books, or in the following alternative versions:
Volume 1 - Chapters 1–20 (Mechanics and Thermodynamics), hardcover, ISBN 978-0-47004473-5 Volume 2 - Chapters 21–44 (E&M, Optics, and Quantum Physics), hardcover, ISBN 978-0-470-04474-2
INSTRUCTOR SUPPLEMENTS
INSTRUCTOR’S SOLUTIONS MANUAL by Sen-Ben Liao, Lawrence Livermore National Laboratory.
This manual provides worked-out solutions for all problems found at the end of each chapter.
INSTRUCTOR COMPANION SITE http://www.wiley.com/college/halliday
• Instructor’s Manual
This resource contains lecture notes outlining the most important topics of each chapter; demonstration experiments; laboratory and computer projects; film and video sources; answers to all Questions, Exercises, Problems, and Checkpoints; and a correlation guide to the Questions, Exercises, and Problems in the previous edition. It also contains a complete list of all problems for which solutions are available to students (SSM,WWW, and ILW).
• Lecture PowerPoint Slides
by Sudipa Kirtley of The Rose Hulman Institute. These PowerPoint slides serve as a helpful starter pack for instructors, outlining key concepts and incorporating figures and equations from the text.
• Classroom Response Systems (“Clicker”) Questions
by David Marx, Illinois State University. There are two sets of questions available: Reading Quiz questions and Interactive Lecture questions. The Reading Quiz questions are intended to be relatively straightforward for any student who reads the assigned material. The Interactive Lecture questions are intended for use in an interactive lec- ture setting.
• Wiley Physics Simulations
by Andrew Duffy, Boston University. This is a collection of 50 interactive simulations (Java applets) that can be used for classroom demonstrations.
• Wiley Physics Demonstrations
by David Maiullo, Rutgers University. This is a collection of digital videos of 80 standard physics demonstrations. They can be shown in class or accessed from the Student Companion site. There is an accompanying Instructor’s Guide that includes “clicker”
questions.
• Test Bank
The Test Bank includes more than 2200 multiple-choice questions. These items are also available in the Computerized Test Bank which provides full editing features to help you cus- tomize tests (available in both IBM and Macintosh versions). The Computerized Test Bank is offered in both Diploma and Respondus.
•
Instructor’s Solutions Manual, in both MSWord and PDF files.
•
All text illustrations, suitable for both classroom projection and printing.
Icon Guide
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ONLINE HOMEWORK AND QUIZZING. In addition to WileyPLUS, Fundamentals of Physics, ninth edition, also supports WebAssignPLUS and LON-CAPA, which are other programs that give instructors the ability to deliver and grade homework and quizzes online. WebAssign PLUS also offers students an online version of the text.
STUDENT SUPPLEMENTS
STUDENT COMPANION SITE. The web site http://www.wiley.com/college/halliday was developed specifically for Fundamentals of Physics, ninth edition, and is designed to further assist students in the study of physics. It includes solutions to selected end-of-chapter problems (which are identified with a www icon in the text); self-quizzes; simulation exercises; tips on how to make best use of a programma- ble calculator; and the Interactive LearningWare tutorials that are described below.
STUDENT STUDY GUIDE by Thomas Barrett of Ohio State University. The Student Study Guide consists of an overview of the chapter’s important concepts, problem solving techniques and detailed examples.
STUDENT SOLUTIONS MANUAL by Sen-Ben Liao, Lawrence Livermore National Laboratory. This manual provides students with complete worked-out solutions to 15 percent of the problems found at the end of each chapter within the text. The Student Solutions Manual for the ninth edition is writ- ten using an innovative approach called TEAL which stands for Think, Express, Analyze, and Learn.
This learning strategy was originally developed at the Massachusetts Institute of Technology and has proven to be an effective learning tool for students. These problems with TEAL solutions are indi- cated with an SSM icon in the text.
INTERACTIVE LEARNINGWARE. This software guides students through solutions to 200 of the end- of-chapter problems. These problems are indicated with an ILW icon in the text. The solutions process is developed interactively, with appropriate feedback and access to error-specific help for the most common mistakes.
INTRODUCTORY PHYSICS WITH CALCULUS AS A SECOND LANGUAGE: Mastering Problem Solving by Thomas Barrett of Ohio State University. This brief paperback teaches the student how to approach problems more efficiently and effectively. The student will learn how to recognize com- mon patterns in physics problems, break problems down into manageable steps, and apply appropri- ate techniques. The book takes the student step by step through the solutions to numerous examples.
A great many people have contributed to this book. J. Richard Christman, of the U.S.
Coast Guard Academy, has once again cre- ated many fine supplements; his recommen- dations to this book have been invaluable.
Sen-Ben Liao of Lawrence Livermore National Laboratory, James Whitenton of Southern Polytechnic State University, and Jerry Shi, of Pasadena City College, per- formed the Herculean task of working out solutions for every one of the homework problems in the book. At John Wiley pub- lishers, the book received support from Stuart Johnson and Geraldine Osnato, the editors who oversaw the entire project from start to finish, and Tom Kulesa, who coordi-
nated the state-of-the-art media package.
We thank Elizabeth Swain, the production editor, for pulling all the pieces together during the complex production process. We also thank Maddy Lesure for her design of the text and art direction of the cover; Lee Goldstein for her page make-up; and Lilian Brady for her proofreading. Hilary Newman was inspired in the search for unusual and interesting photographs. Both the publisher John Wiley & Sons, Inc. and Jearl Walker would like to thank the follow- ing for comments and ideas about the 8th edition: Jonathan Abramson, Portland State University; Omar Adawi, Parkland College;
Edward Adelson, The Ohio State
University; Steven R. Baker, Naval Postgraduate School; George Caplan, Wellesley College; Richard Kass, The Ohio State University; M. R. Khoshbin-e- Khoshnazar, Research Institution for Curriculum Development & Educational Innovations (Tehran); Stuart Loucks, American River College; Laurence Lurio, Northern Illinois University; Ponn Maheswaranathan, Winthrop University;
Joe McCullough, Cabrillo College; Don N.
Page, University of Alberta; Elie Riachi, Fort Scott Community College; Andrew G.
Rinzler, University of Florida; Dubravka Rupnik, Louisiana State University; Robert Schabinger, Rutgers University; Ruth
A C K N O W L E D G M E N T S
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Schwartz, Milwaukee School of Engineering; Nora Thornber, Raritan Valley Community College; Frank Wang, LaGuardia Community College; Graham W. Wilson, University of Kansas; Roland Winkler, Northern Illinois University;
Ulrich Zurcher, Cleveland State University.
Finally, our external reviewers have been outstanding and we acknowledge here our debt to each member of that team.
Maris A. Abolins, Michigan State University
Edward Adelson, Ohio State University Nural Akchurin, Texas Tech
Yildirim Aktas, University of North Carolina- Charlotte
Barbara Andereck, Ohio Wesleyan University
Tetyana Antimirova, Ryerson University Mark Arnett, Kirkwood Community
College
Arun Bansil, Northeastern University Richard Barber, Santa Clara University Neil Basecu, Westchester Community
College
Anand Batra, Howard University Richard Bone, Florida International
University
Michael E. Browne, University of Idaho Timothy J. Burns, Leeward Community
College
Joseph Buschi, Manhattan College Philip A. Casabella, Rensselaer Polytechnic
Institute
Randall Caton, Christopher Newport College
Roger Clapp, University of South Florida W. R. Conkie, Queen’s University Renate Crawford, University of
Massachusetts-Dartmouth
Mike Crivello, San Diego State University
Robert N. Davie, Jr., St. Petersburg Junior College
Cheryl K. Dellai, Glendale Community College
Eric R. Dietz, California State University at Chico
N. John DiNardo, Drexel University Eugene Dunnam, University of Florida Robert Endorf, University of Cincinnati F. Paul Esposito, University of Cincinnati Jerry Finkelstein, San Jose State University Robert H. Good, California State
University-Hayward
Michael Gorman, University of Houston Benjamin Grinstein, University of
California, San Diego
John B. Gruber, San Jose State University Ann Hanks, American River College Randy Harris, University of California-
Davis
Samuel Harris, Purdue University
Harold B. Hart, Western Illinois University Rebecca Hartzler, Seattle Central
Community College
John Hubisz, North Carolina State University
Joey Huston, Michigan State University David Ingram, Ohio University Shawn Jackson, University of Tulsa Hector Jimenez, University of Puerto Rico Sudhakar B. Joshi, York University Leonard M. Kahn, University of Rhode
Island
Sudipa Kirtley, Rose-Hulman Institute Leonard Kleinman, University of Texas at
Austin
Craig Kletzing, University of Iowa Peter F. Koehler, University of Pittsburgh Arthur Z. Kovacs, Rochester Institute of
Technology
Kenneth Krane, Oregon State University Priscilla Laws, Dickinson College Edbertho Leal, Polytechnic University of
Puerto Rico
Vern Lindberg, Rochester Institute of Technology
Peter Loly, University of Manitoba James MacLaren, Tulane University Andreas Mandelis, University of Toronto Robert R. Marchini, Memphis State
University
Andrea Markelz, University at Buffalo, SUNY
Paul Marquard, Caspar College David Marx, Illinois State University Dan Mazilu, Washington and Lee
University
James H. McGuire, Tulane University David M. McKinstry, Eastern Washington
University
Jordon Morelli, Queen’s University Eugene Mosca, United States Naval
Academy
Eric R. Murray, Georgia Institute of Technology, School of Physics
James Napolitano, Rensselaer Polytechnic Institute
Blaine Norum, University of Virginia Michael O’Shea, Kansas State University Patrick Papin, San Diego State University Kiumars Parvin, San Jose State University Robert Pelcovits, Brown University Oren P. Quist, South Dakota State
University
Joe Redish, University of Maryland Timothy M. Ritter, University of North
Carolina at Pembroke Dan Styer, Oberlin College
Frank Wang, LaGuardia Community College
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F U N D A M E N T A L S O F P H Y S I C S
9
E D I T I O N T H E X T E N D E D
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1-1 W H AT I S P H Y S I C S ?
Science and engineering are based on measurements and comparisons.
Thus, we need rules about how things are measured and compared, and we need experiments to establish the units for those measurements and comparisons. One purpose of physics (and engineering) is to design and conduct those experiments.
For example, physicists strive to develop clocks of extreme accuracy so that any time or time interval can be precisely determined and compared. You may wonder whether such accuracy is actually needed or worth the effort. Here is one example of the worth: Without clocks of extreme