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9780697111999

University Physics : Models and Applications

by ;
  • ISBN13:

    9780697111999

  • ISBN10:

    0697111997

  • Format: Hardcover
  • Copyright: 1994-02-01
  • Publisher: McGraw Hill College Div

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Table of Contents

Preface xix
PART I: MECHANICS xxiv
Physics and Measurement
2(16)
Physics and Models
3(2)
Systems of Units
5(5)
Length
5(2)
Time
7(1)
Mass
8(2)
The Metric System
10(1)
Unit Conversion and Dimensional Analysis
10(3)
Significant Figures
13(2)
Summary
15(3)
Problems
16(2)
Vector Algebra
18(22)
Coordinate Systems
19(2)
Scalars and Vectors
21(2)
Vector Addition
23(7)
Multiplication by a Scalar
25(1)
Unit Vectors
25(1)
Vector Components
26(1)
Vector Addition: Component Method
26(4)
Vector Multiplication
30(5)
The Scalar Product
31(1)
The Vector Product
31(2)
Scalar and Vector Products in the Unit-Vector Representation
33(2)
Summary
35(5)
Problems
36(4)
Motion Along a Straight Line
40(36)
Position, Velocity, and Acceleration
41(5)
Average Velocity and Average Speed
42(1)
Average Acceleration
43(1)
Instantaneous Velocity
44(1)
Instantaneous Acceleration
45(1)
Graphical Interpretation of Position, Velocity, and Acceleration
46(6)
Average Velocity
46(1)
Instantaneous Velocity
47(1)
Average and Instantaneous Acceleration
48(1)
Position from Velocity Graphs
49(2)
Velocity from Acceleration Graphs
51(1)
The Constant-Acceleration Model
52(8)
The Sign of Acceleration
55(2)
Freely Falling Objects
57(3)
Applying Integral Calculus to Find Position and Velocity (Optional)
60(1)
Handling Real Data (Optional)
61(7)
Computing Areas
61(3)
Taking Slopes
64(2)
Computing Acceleration from Velocity
66(1)
Computing Acceleration from Position
66(2)
Summary
68(8)
Problems
69(7)
Motion in Two Dimensions
76(26)
Velocity and Acceleration Vectors
77(2)
Average Speed
78(1)
Projectile Motion
79(6)
Circular Motion
85(5)
Tangential and Normal Components of Acceleration in Two Dimensions
89(1)
Numerical Methods in Two Dimensions (Optional)
90(3)
Summary
93(9)
Problems
94(8)
Forces: Newton's Three Laws of Motion
102(24)
Newton's First Law: Inertia
103(1)
Newton's Second Law
104(1)
Some Common Forces
105(5)
The Weight Force
106(2)
Spring Forces
108(1)
Normal Forces
109(1)
Frictional Forces
109(1)
Tension
109(1)
Simple Applications of Newton's Second Law
110(7)
Newton's Third Law
117(2)
Gravitational Field Strength, Falling Objects, and Mass (Optional)
119(1)
Summary
120(6)
Problems
121(5)
Additional Force Models and Circular Motion
126(37)
The Coefficient-of-Friction Model
127(3)
Circular Motion
130(6)
Newton's Universal Law of Gravitation
136(6)
The Cavendish Balance
138(1)
``Weighing'' the Sun
139(1)
Weight and Universal Gravitation
140(2)
Models for Motion through a Resistive Medium (Optional)
142(4)
Summary of Force Models
146(1)
Numerical Methods for Newton's Second Law (Optional)
146(6)
Summary
152(11)
Guest Essay: Physics and Racing at the Indianapolis 500
160(3)
Work and Kinetic Energy
163(23)
Work (Constant Force, Constant Direction)
164(1)
Work (Variable Force, Constant Direction)
165(4)
Work (Variable Force, Variable Direction)
169(1)
Work and Kinetic Energy
170(4)
Power
174(2)
Numerical Calculations of Work (Optional)
176(1)
Summary
177(9)
Problems
178(8)
Conservation of Energy
186(33)
Conservative Forces and Potential Energy
187(1)
Potential Energy: The Negative of the Integral of a Conservative Force over Distance
188(2)
Gravitational Potential Energy near the Earth's Surface
188(2)
Potential Energy of a Hooke's-Law Spring
190(1)
Conservation of Mechanical Energy
190(6)
Energy Conservation and Isolated Systems
195(1)
Systems with Nonconservative Forces
196(3)
Conservative Forces: The Negative of the Derivative of Potential Energy
199(3)
Equilibrium
201(1)
Potential Energy for Newtonian Gravity (Optional)
202(4)
Conservative Forces in Two and Three Dimensions (Optional)
206(4)
Motion in Two Dimensions
207(1)
Motion in Three Dimensions
208(2)
Summary
210(9)
Problems
212(7)
Impulse and Linear Momentum
219(30)
Impulse
220(1)
Impulse and Momentum
221(2)
The Momentum Statement of Newton's Second Law
223(3)
Conservation of Momentum
226(6)
Recoil
227(3)
Relative Motion
230(2)
Collisions in One Dimension
232(6)
Perfectly Inelastic Collisions
233(1)
Perfectly Elastic Collisions
234(2)
Partially Elastic Collisions
236(2)
Collisions in Two Dimensions
238(3)
Perfectly Inelastic Collisions
239(1)
Perfectly Elastic Collisions
240(1)
Partially Elastic Collisions
241(1)
Summary
241(8)
Problems
242(7)
Momentum, Energy, and the Center of Mass
249(27)
The Big Picture
250(1)
The Ballistic Pendulum and Its Friends
250(2)
The Center of Mass
252(5)
Center of Mass for a Collection of Point-Objects
253(1)
Center of Mass for Symmetrical Solid Objects
254(1)
Center of Mass for Solid Objects by Integration (Optional)
255(2)
Center of Mass: Energy, Momentum, and Newton's Second Law
257(6)
Gravitational Potential Energy and the Center of Mass
258(1)
Newton's Second Law and the Center of Mass
258(1)
Momentum and the Center of Mass
259(3)
Kinetic Energy and the Center of Mass
262(1)
Systems of Variable Mass (Optional)
263(5)
Summary
268(8)
Problems
269(7)
Rotation About a Fixed Axis
276(35)
Kinematics of Rotational Motion
277(6)
The Constant-Acceleration Model
282(1)
Kinetic Energy and Rotational Inertia
283(9)
Torque
292(4)
Work Done by a Torque
295(1)
Newton's Second Law for Rotation about a Fixed Axis
296(3)
Angular Momentum for Rotation about a Fixed Axis
299(4)
Conservation of Angular Momentum
300(3)
Summary
303(8)
Problems
304(7)
Static Equilibrium and Rolling Objects
311(28)
Static Equilibrium
312(4)
Torques Due to the Weight Force
312(1)
Force and Torque in Static Equilibrium
313(3)
Rotation and Translation with No Slipping (Optional)
316(8)
Energy Analysis
317(2)
Force Analysis
319(5)
Rotation and Translation with Slipping (Optional)
324(3)
Angular Impulse-Angular Momentum Theorem
324(2)
Center of Percussion
326(1)
Summary
327(12)
Problems
328(7)
Guest Essay: Biomechanical Loading of the Human Body
335(4)
Vector Descriptions of Rotational Motion
339(17)
The Torque Vector
340(1)
The Angular Velocity and Angular Acceleration Vectors
341(3)
The Angular Momentum Vector
344(5)
Newton's Second Law for Angular Momentum
345(1)
Conservation of Vector Angular Momentum
346(1)
Precession of a Gyroscope (Optional)
346(2)
Precession of the Earth's Axis of Rotation (Optional)
348(1)
Vector Relations between L and ω (Optional)
349(3)
Single Point-Masses
350(1)
Multiple Point-Masses
351(1)
Summary
352(4)
Problems
353(3)
Oscillations
356(31)
Kinematics of Simple Harmonic Motion
357(6)
Velocity and Acceleration for Simple Harmonic Motion
361(2)
The Dynamics of Simple Harmonic Motion
363(8)
Mass Attached to a Spring
363(3)
The Simple Pendulum
366(2)
The Physical Pendulum
368(1)
The Torsion Pendulum
369(1)
A Two-Mass System
370(1)
Energy of a Simple Harmonic Oscillator
371(3)
Uniform Circular Motion and Simple Harmonic Motion
374(1)
Damped and Driven Oscillations
375(3)
Damped Oscillations
375(2)
Driven Oscillations
377(1)
Numerical Calculations for Periodic Motion (Optional)
378(2)
Equation of Motion for Simple Harmonic Motion
378(1)
Velocity and Acceleration for Simple Harmonic Motion
379(1)
Large-Amplitude Pendulum Oscillations
380(1)
Summary
380(7)
Problems
381(6)
One-Dimensional Waves
387(27)
Introduction
388(2)
Particle Motion with Respect to Wave Direction
388(1)
Wave Dimension
389(1)
Particle Behavior in Time
389(1)
Waves Traveling on a String
390(5)
Wave Pulses
390(2)
Sinusoidal Wave Train
392(2)
Longitudinal Waves
394(1)
Wave Velocity on a String
395(1)
Energy Transported by Sinusoidal Waves
396(1)
Superposition and Interference of Waves
397(7)
Wave Interference
398(1)
Adding Waves That Differ in Phase Only: Interference
398(1)
Adding Waves That Differ in Frequency Only: Beats
399(1)
Adding Waves That Differ in Direction Only: Standing Waves
400(2)
Wave Reflection
402(1)
Fourier's Theorem (Optional)
403(1)
The Wave Equation (Optional)
404(3)
Wave Velocity: The Wave Equation Analysis
406(1)
Spreadsheet Calculations for Superposition of One-Dimensional Waves (Optional)
407(1)
Summary
408(6)
Problems
410(4)
Solids, Liquids, and Gases
414(36)
States of Matter
415(1)
Stress, Strain, and the Elastic Moduli
416(5)
Young's Modulus
418(1)
Shear Modulus
419(1)
Bulk Modulus
419(2)
Density and Pressure
421(2)
Fluid Statics
423(7)
Variation of Pressure with Depth
423(1)
The Incompressible-Fluid Model
424(2)
Pascal's Principle
426(1)
Archimedes' Principle
427(1)
A Compressible-Fluid Model
428(2)
Pressure-Measuring Devices
430(2)
The Manometer
430(1)
The Mercury Barometer
431(1)
Fluid Dynamics
432(6)
The Ideal-Fluid Model
432(1)
The Equation of Continuity
432(2)
Bernoulli's Equation
434(4)
Qualitative Applications of Bernoulli's Equation
438(1)
Dynamic Viscosity (Optional)
438(2)
Summary
440(10)
Problems
441(5)
Guest Essay: The Continuity Equation in Everyday Life
446(4)
Sound
450(32)
Models for Sound Waves in a Gas
451(1)
The Velocity of Sound
452(5)
Other Distortion Waves (Optional)
455(2)
Harmonic Waves in Air
457(1)
Sound Intensity and Sound Intensity Level
458(5)
The Decibel Scale
460(3)
Sources of Sound
463(5)
Vibrating Strings
463(3)
Air Columns
466(1)
Resonance and Beats
467(1)
The Doppler Effect
468(5)
Shock Waves
472(1)
Summary
473(9)
Problems
473(9)
PART II: THERMODYNAMICS AND KINETIC THEORY 482(100)
Temperature, Heat, and the Equation of State
484(29)
Temperature
485(3)
The Celsius and Fahrenheit Scales
485(1)
Constant-Volume Gas Thermometer
486(2)
Thermal Expansion
488(5)
Linear Expansion
490(1)
Area Expansion
491(1)
Volume Expansion
491(2)
Heat and Energy Transfer Mechanisms
493(7)
Conduction
494(3)
Building Insulation (Optional)
497(1)
Convection and Radiation
498(2)
Heat Capacity and Latent Heat
500(4)
Heat of Transformation
502(2)
The Equation of State
504(4)
The van der Waals Gas (Optional)
507(1)
Summary
508(5)
Problems
509(4)
Thermodynamics I: Processes and the First Law
513(25)
Equilibrium, the Zeroth Law of Thermodynamics, and Processes
514(4)
The Zeroth Law of Thermodynamics
514(4)
Work
518(2)
The First Law of Thermodynamics
520(2)
Specific Thermodynamics Processes
522(6)
Isochoric Processes
523(1)
Isobaric Processes
523(1)
Isothermal Processes
524(1)
Adiabatic Processes
525(3)
Cyclic Processes
528(4)
Summary
532(6)
Problems
533(5)
Thermodynamics II: The Second Law
538(26)
The Second Law of Thermodynamics and Heat Engines
540(2)
The Carnot Cycle
542(4)
Refrigerators and Heat Pumps
546(2)
The Curious Fraction Q/T
548(1)
The Absolute Temperature Scale and the Third Law of Thermodynamics
548(1)
General Cyclic Processes
549(5)
Efficiencies of Real Engines: The Clausius Inequality
551(2)
The Curious Q/T Result for Arbitrary Cycles
553(1)
A Formal Definition of State Variables
554(1)
Entropy: A State Variable
555(1)
Entropy Changes for Irreversible Processes
556(3)
The Principle of Increasing Entropy
556(3)
Entropy and Disorder
559(1)
Summary
559(5)
Problems
560(4)
Microscopic Connections to Thermodynamics
564(18)
The Kinetic Theory of an Ideal Gas
565(5)
The Ideal-Gas Model
565(1)
Pressure and Molecular Motion
565(3)
Temperature and Molecular Motion
568(2)
The Equipartition-of-Energy Theorem
570(2)
Ideal Polyatomic-Gas Models
571(1)
Another Look at Specific Heats
572(4)
Monatomic Ideal Gases
572(1)
Diatomic Ideal Gases
573(1)
Quantum Mechanical Effects
574(1)
Specific Heat Capacity of Solids
575(1)
Distribution of Molecular Speeds
576(2)
The Maxwell Speed-Distribution Function
576(1)
Mean Free Path
577(1)
Summary
578(4)
Problems
579(3)
PART III: ELECTRICITY AND MAGNETISM 582(368)
Stationary Charges and the Electric Field
584(38)
Electric Charge
585(5)
Continuous Charge Distributions
588(2)
Coulomb's Law
590(5)
The Electric Field
595(16)
Point-Charge Distributions
596(5)
Continuous Charge Distributions
601(7)
Electric Field Lines
608(3)
The Electric Dipole in a Uniform Electric Field
611(3)
The Electric Dipole in Nonuniform Fields
614(1)
Summary
615(7)
Problems
617(5)
Gauss's Law
622(20)
Electric Flux
623(3)
Gauss's Law
626(7)
Gaussian Surfaces
626(1)
Coulomb's Law from Gauss's Law
627(6)
The Ideal-Conductor Model in Electrostatic Equilibrium
633(5)
Summary
638(4)
Problems
639(3)
Electric Potential
642(36)
Electric Potential Energy
643(3)
The Electric Potential
646(9)
Electric Potential Change Due to a Uniform Electric Field
649(3)
Electric Potential Change in a Nonuniform Electric Field
652(3)
Computing the Electric Potential from a Charge Distribution
655(3)
Point-Charge Distributions
655(1)
Continuous Charge Distributions
656(2)
Computing the Electric Field from the Electric Potential
658(4)
The Relation Between V and E in Three Dimensions (Optional)
660(2)
Why Some of This Should Seem Familiar
662(1)
Equipotential Surfaces
662(4)
The Big Picture
666(1)
Numerical Methods: Relaxation (Optional)
666(5)
Summary
671(7)
Problems
672(6)
Capacitors and Dielectrics
678(38)
Capacitance
680(5)
Combinations of Capacitors
685(6)
Capacitors in Parallel
685(3)
Capacitors in Series
688(3)
Energy Storage in a Capacitor
691(4)
Dielectrics
695(8)
Gauss's Law and the Electric Field Vectors
703(4)
Polarization and the Displacement Field (Optional)
704(2)
Gauss's Law for the Displacement Field (Optional)
706(1)
A Numerical Application (Optional)
707(2)
Summary
709(7)
Problems
710(6)
Electric Current and Resistance
716(26)
Electric Current and Current Density
717(5)
Resistivity and Resistance
722(5)
Resistance
723(3)
Temperature Dependence of Resistivity (Optional)
726(1)
Energy Dissipation
727(2)
Microscopic Models of Resistance (Optional)
729(8)
Valence-Bonding Model of Conduction
729(3)
The Band Model of Conductivity
732(3)
Superconductors
735(2)
Summary
737(5)
Problems
738(4)
Direct-Current Circuits
742(32)
Electromotive Force
743(2)
Combinations of Resistors
745(4)
Resistors in Series
745(1)
Resistors in Parallel
746(3)
Multiple-Loop Circuits: Kirchhoff's Rules
749(4)
Potential Difference, Current, and Resistance Measurements
753(4)
Voltmeters
754(1)
Ammeters
755(1)
The Wheatstone Bridge
756(1)
The Potentiometer
756(1)
RC Circuits
757(5)
Electronic Calculus: Differentiating and Integrating Circuits (Optional)
761(1)
Digital Voltmeters (Optional)
762(1)
A Matrix Method for Complex Circuits (Optional)
763(3)
Summary
766(8)
Problems
767(7)
The Magnetic Field
774(26)
The Magnetic Field
775(12)
Moving Charges in Uniform Magnetic Fields
779(2)
Moving Charges in Nonuniform Magnetic Fields
781(2)
The Hall Effect (Optional)
783(2)
Magnetohydrodynamics (Optional)
785(2)
Force on a Current-Carrying Conductor
787(2)
Current-Carrying Loops in a Uniform Magnetic Field
789(4)
The Magnetic Dipole Moment
790(3)
Summary
793(7)
Problems
794(6)
Sources of Magnetic Fields
800(26)
The Biot-Savart Law
801(7)
Parallel Wires, Amperes, and Coulombs
808(2)
Ampere's Law
810(6)
Infinite Current Sheet
811(1)
The Solenoid
812(3)
The Toroid
815(1)
Magnetic Flux and Gauss's Law for Magnetism
816(1)
Field on the Axis of a Solenoid: A Numerical Application (Optional)
817(1)
Summary
818(8)
Problems
819(7)
Faraday's Law and Induction
826(22)
The Laws of Faraday and Lenz
827(9)
Faraday's Law
830(1)
Lenz's Law
831(5)
Induced Electric Fields
836(3)
Eddy Currents
838(1)
The Displacement Current and Maxwell's Equations
839(3)
Maxwell's Equations
841(1)
Summary
842(6)
Problems
843(5)
Inductance
848(19)
Induction
849(4)
LR Circuits
853(1)
Energy and the Magnetic Field
854(3)
LC Circuits (Optional)
857(4)
The RLC Circuit
859(2)
Summary
861(6)
Problems
863(4)
Magnetic Properties of Materials (Optional)
867(23)
Overview of the Magnetic Properties of Matter
868(2)
The Source of Magnetism in Materials
870(2)
The Magnetic Field Vectors
872(4)
Diamagnetic, Paramagnetic, and Ferromagnetic Phases
876(7)
Diamagnetism
876(2)
Paramagnetism
878(1)
Ferromagnetism
878(5)
Summary
883(7)
Problems
884(2)
Guest Essay: Geophysical Applications of Electromagnetic Induction
886(4)
Alternating-Current Circuits
890(42)
Circuit Elements in AC Circuits
891(9)
A Resistor in an AC Circuit
892(2)
A Capacitor in an AC Circuit
894(2)
An Inductor in an AC Circuit
896(4)
RLC Circuits
900(7)
The Root-Mean-Square Potential and Current
907(3)
Power and Resonance in AC Circuits
910(6)
Transformers (Optional)
916(5)
Filter Circuits (Optional)
921(2)
Summary
923(9)
Problems
924(5)
Guest Essay: Magnetic Resonance
929(3)
Electromagnetic Waves
932(18)
The Prediction of Waves from Maxwell's Equations
933(4)
Sinusoidal Electromagnetic Waves
937(1)
Energy Transport by Electromagnetic Waves
938(3)
Radiation Pressure
941(1)
Sources of Electromagnetic Waves
942(3)
The Electromagnetic Spectrum
945(1)
Summary
946(4)
Problems
948(2)
PART IV: OPTICS 950(126)
Reflection, Refraction, and Polarization of Light
952(30)
Particles and Waves: A Tale of Two Models
953(1)
Properties of the Wave Model of Light
954(2)
Wavefronts and Rays
954(1)
Huygens' Principle
955(1)
The Ray Model
956(1)
Reflection
956(1)
Refraction
957(9)
Total Internal Reflection
960(2)
Optical Fibers (Optional)
962(2)
Dispersion
964(1)
Prism Geometry (Optional)
965(1)
Polarization
966(10)
Polarization by Scattering
967(1)
Polarization by Reflection
968(2)
Wire-Grid Polarizers
970(2)
Birefringence (Optional)
972(2)
Half-Wave and Quarter-Wave Plates (Optional)
974(1)
Optics of the Compact-Disc Player (Optional)
975(1)
Summary
976(6)
Problem
977(5)
Geometrical Optics
982(46)
Images
983(1)
Images Formed by Plane Mirrors
984(2)
Images Formed by Curved Mirrors
986(9)
Concave Mirrors
988(6)
Convex Mirrors
994(1)
Images Formed by Refracting Surfaces
995(4)
Refraction at Curved Surfaces
996(1)
Apparent Depth
997(2)
Images Formed by Lenses
999(9)
The Lens-Maker's Formula
999(2)
The Thin-Lens Formula
1001(7)
The Eye and Simple Optical Instruments (Optional)
1008(5)
The Eye
1008(1)
The Simple Magnifying Glass
1009(2)
The Compound Microscope
1011(1)
Telescopes
1012(1)
Optical Aberrations (Optional)
1013(2)
Chromatic Aberration
1014(1)
Third-Order Aberrations
1014(1)
Numerical Methods for Paraxial Ray Tracing (Optional)
1015(4)
A Spreadsheet Template for the ABCD Parameters
1017(1)
The ABCD Matrix (Optional)
1018(1)
Summary
1019(9)
Problems
1021(7)
Interference of Light
1028(24)
Interference
1029(5)
Two-Source Interference
1029(2)
Thin-Film Interference
1031(3)
Irradiance for Simple Interference Patterns
1034(10)
Coherence
1036(1)
Optical Beats (Optional)
1037(1)
Thin-Film Interference
1038(1)
High-Reflectance Result for Thin-Film Interference (Optional)
1039(1)
Two-Source Interference
1040(4)
Multiple-Source Interference
1044(2)
Phasors
1044(2)
Summary
1046(6)
Problems
1048(4)
Diffraction of Light
1052(24)
Single-Slit Diffraction
1053(5)
Diffraction-Limited Optics
1055(1)
Resolution
1056(2)
Effect of Finite Slit Width on Double-Slit Interference Patterns (Optional)
1058(2)
Diffraction Gratings (Optional)
1060(4)
Resolving Power of a Grating
1060(2)
Free Spectral Range (Optional)
1062(2)
X-Ray Diffraction (Optional)
1064(6)
Bragg Diffraction
1065(5)
Summary
1070(6)
Problems
1071(5)
PART V: MODERN PHYSICS 1076(63)
Special Theory of Relativity
1078(31)
The Speed of Light
1079(5)
Luminiferous Ether
1079(1)
Michelson Interferometer
1080(1)
The Experiment of Michelson and Morley
1081(3)
Postulates of Special Relativity
1084(1)
The Downfall of Simultaneity
1085(1)
Relativistic Kinematics
1085(13)
Lorentz Transformations
1086(2)
Time Dilation
1088(1)
Length Contraction
1089(1)
Experimental Tests of Relativity
1090(2)
Relativistic Doppler Shift
1092(1)
The Twin Paradox
1093(3)
Velocity Transformations
1096(2)
Relativistic Dynamics
1098(3)
Relativistic Momentum
1099(1)
Kinetic Energy
1100(1)
Binding Energy and Mass
1101(2)
Summary
1103(6)
Problems
1105(4)
The Birth of Quantum Physics
1109(30)
The Particle Model for Light Revisited
1110(11)
Blackbody Radiation
1110(4)
Heat Capacity of Solids
1114(1)
Photoelectric Effect
1115(4)
Compton Scattering
1119(2)
The Wave Model for Particles
1121(4)
The Davisson-Germer Experiment
1122(1)
The Experiment of G. P. Thomson
1123(2)
The Spectra of Atoms
1125(2)
The Rutherford-Bohr Model of the Atom
1127(6)
Rutherford Scattering
1127(1)
Bohr Model of the Atom
1128(5)
Summary
1133(6)
Problems
1134(5)
APPENDIXES 1139
1 Mathematics Summary
1139
2 Introduction to Numerical Methods Useful in Physics
1144
3 List of Symbols
1147
4 Greek Letters
1149
5 Conversion Factors
1149
6 Periodic Table and Atomic Masses
1151
7 Physical Constants
1155
8 Astronomical Tables
1156
9 Properties of Sporting Balls and Related Information
1157
10 Introduction to Spreadsheets
1158
11 List of Tables
1162
12 Nobel Prize Winners in Physics
1163
13 Answers to Odd-Numbered Problems
1170

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