Table of Contents
How to Use This Book xi
Barron's Essential 5 xii
Introduction 1
How to Review for the AP Physics Exam 1
Guide to This Review Book 1
Graphical Analysis of Data 3
Description of the AP Physics C Exam 3
Other Uses of This Book 4
What Do You Think? 5
Diagnostic Test 9
Answer Key: Mechanics 29
Answer Explanations: Mechanics 30
Answer Key: Electricity and Magnetism 39
Answer Explanations: Electricity and Magnetism 40
1 Background 51
Vectors 51
Unit Analysis 55
Problem-Solving Techniques 55
2 One-Dimensional Kinematics 59
Definitions 59
Summary of Equations 67
Problem Solving 68
Practice Exercises 69
Answer Key 73
Answer Explanations 73
3 Two-Dimensional Kinematics 77
Generalization of One-Dimensional Kinematics Equations 78
The Physical Significance of The Vectors 79
General Approach to Solving Kinematics Problems In Two Dimensions 80
Projectile Motion 81
Problem-Solving Tips 82
Relative Position, Velocity, and Acceleration 89
Main Derivation 89
Summary of Equations 90
Uniform Circular Motion 93
Summary of Results for UCM 95
Acceleration In Nonuniform Circular Motion 95
Practice Exercises 97
Answer Key 100
Answer Explanations 100
4 Newton's Laws 105
Mass vs Weight 107
General Approach to Solving Newton's Law Problems 110
Practice Exercises 125
Answer Key 129
Answer Explanations 129
5 Work, Energy, and Power 139
Work 139
Conservative and Nonconservative Forces 144
Gravitational Potential Energy 145
Spring Force (Hooke's Law) 146
Elastic Potential Energy 147
Unification of Gravitational and Elastic Potential Energy 148
Power 151
Solving Conservation of Energy Problems (Equation Summary) 153
Practice Exercises 155
Answer Key 159
Answer Explanations 159
6 Linear Momentum and Center of Mass 167
Momentum 167
Center of Mass 175
Practice Exercises 180
Answer Key 184
Answer Explanations 184
7 Rotation I: Kinematics, Force. Work, and Energy 189
The Motivation for Developing New Parameters 189
Fundamental Equations of Angular Kinematics 191
The Relationships Between Angular and Linear Quantities 192
Rotational Kinetic Energy 192
Torque 193
Rotational Analog of Newton's Second Law 194
Work Done by an External Force 196
Power Associated with a Torque 198
Equation Summary with Translational Analogs 198
Problem Solving 199
Practice Exercises 201
Answer Key 205
Answer Explanations 205
8 Rotation II: Inertia, Equilibrium, and Combined Rotation/Translation 211
Parallel Axis Theorem 216
Angular Momentum 218
Rolling Without Slipping 222
Static Equilibrium for Extended Objects 226
Practice Exercises 231
Answer Key 237
Answer Explanations 237
9 Simple Harmonic Motion 247
Problem Solving: Calculating The Angular Frequency of Oscillation 251
Problem Solving: Using Energy Conservation 254
Practice Exercises 258
Answer Key 263
Answer Explanations 263
10 Universal Gravitation 269
Gravitation Due to Spherically Symmetric Mass Distributions 269
Relating g to G 273
Gravitational Field 273
Kepler's Laws 275
Gravitational Potential Energy 277
Practice Exercises 282
Answer Key 286
Answer Explanations 286
11 Coulomb's Law and Electric Fields Due to Point Charges 293
Coulomb's Law 293
The Concept of Fields: Gravitational Fields and Electric Fields 295
Potential and Voltage 299
Practice Exercises 307
Answer Key 311
Answer Explanations 311
12 Calculating Electric Fields and Potentials Due to Continuous Charge Distributions 321
Calculating the Potential Due to a Continuous Charge Density: A General Approach 321
Direct Conversion Between Electric Field and Potential 326
Calculating the Electric Field Due to a Continuous Charge Density: A General Approach 327
Practice Exercises 336
Answer Key 338
Answer Explanations 338
13 Gauss's Law 343
The Concept of Flux 343
Gauss's Law 344
Practice Exercises 357
Answer Key 361
Answer Explanations 361
14 Analysis of Circuits Containing Batteries and Resistors 365
Conventional Current 365
Current Density and Drift Velocity 366
Resistance 369
Voltmeters and Ammeters 375
Analysis of Circuits Containing Multiple Batteries: Kirchhoff's Laws 376
Kirchhoff's Laws 376
Practice Exercises 384
Answer Key 387
Answer Explanations 387
15 Capacitors 391
Qualitative Introduction to Capacitors 391
Capacitance 392
Practice Exercises 400
Answer Key 404
Answer Explanations 404
16 RC Circuits 411
General Approach to Deriving Equations For RC Circuits 411
Discharging a Capacitor Through a Resistor 412
Charging a Capacitor 414
Time Constants 416
Practice Exercises 418
Answer Key 422
Answer Explanations 422
17 Magnetic Fields 427
What Is a Magnetic Field? 427
Problem Solving: Mass Spectrometer Problems 431
Sources of Magnetic Fields 433
Ampere's Law 442
Problem Solving: How to Apply Ampere's Law 443
Practice Exercises 447
Answer Key 452
Answer Explanations 452
18 Faraday's Law and Lenz's Law 457
Calculating The Magnetic Flux ΦΒ 457
Faraday's Law 458
Lenz's Law and Determining the Direction of the EMF 464
Practice Exercises 468
Answer Key 473
Answer Explanations 473
19 Inductors 481
Qualitative Understanding of Self-Inductance 481
Quantitative Definition of Self-Inductance 482
Energy Stored In an Inductor 482
Rl Circuits (Circuits Containing Inductors and Resistors) 484
LC Circuits (Circuits Containing a Capacitor and an Inductor) 489
Practice Exercises 494
Answer Key 500
Answer Explanations 500
20 Maxwell's Equations 507
Gauss's Law for Magnetism 507
Maxwell's Law of Induction 509
Displacement Current and the Ampere-Maxwell Law 511
Practice Exercises 513
Answer Key 514
Answer Explanations 514
Practice Test 1 517
Answer Key 540
Answer Explanations: Mechanics 541
Answer Explanations: Electricity and Magnetism 549
Practice Test 2 561
Answer Key 583
Answer Explanations: Mechanics 584
Answer Explanations: Electricity and Magnetism 591
Appendix: Physics C Equations and Constants 603
Index 607