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
1 INTRODUCTION, MEASUREMENT,1 ESTIMATING 1
1-1 The Nature of Science 2
1-2 Models, Theories, and Laws 2
1-3 Measurement and Uncertainty; Significant Figures 3
1-4 Units, Standards, and the SI System 6
1-5 Converting Units 8
1-6 Order of Magnitude: Rapid Estimating 9
*1-7 Dimensions and Dimensional Analysis 12
SUMMARY 14
QUESTIONS 14
PROBLEMS 14
GENERAL PROBLEMS 16
2 DESCRIBING MOTION: KINEMATICS2 IN ONE DIMENSION 18
2-1 Reference Frames and Displacement 19
2-2 Average Velocity 20
2-3 Instantaneous Velocity 22
2-4 Acceleration 24
2-5 Motion at Constant Acceleration 28
2-6 Solving Problems 30
2-7 Freely Falling Objects 34
*2-8 Variable Acceleration; Integral Calculus 39
*2-9 Graphical Analysis and Numerical Integration 40
SUMMARY 43
QUESTIONS 43
PROBLEMS 44
GENERAL PROBLEMS 48
3 KINEMATICS IN TWO OR THREE3 DIMENSIONS; VECTORS 51
3-1 Vectors and Scalars 52
3-2 Addition of Vectors-Graphical Methods 52
3-3 Subtraction of Vectors, and Multiplication of a Vector by a Scalar 54
3-4 Adding Vectors by Components 55
3-5 Unit Vectors 59
3-6 Vector Kinematics 59
3-7 Projectile Motion 62
3-8 Solving Problems Involving Projectile Motion 64
3-9 Relative Velocity 71
SUMMARY 74
QUESTIONS 75
PROBLEMS 75
GENERAL PROBLEMS 80
4 DYNAMICS: NEWTON'S LAWS4 OF MOTION 83
4-1 Force 84
4-2 Newton's First Law of Motion 84
4-3 Mass 86
4-4 Newton's Second Law of Motion 86
4-5 Newton's Third Law of Motion 89
4-6 Weight-the Force of Gravity; and the Normal Force 92
4-7 Solving Problems with Newton's Laws: Free-Body Diagrams 95
4-8 Problem Solving-A General Approach 102
SUMMARY 102
QUESTIONS 103
PROBLEMS 104
GENERAL PROBLEMS 109
5 USING NEWTON'S LAWS:5 FRICTION, CIRCULAR MOTION, DRAG FORCES 112
5-1 Applications of Newton's Laws Involving Friction 113
5-2 Uniform Circular Motion-Kinematics 119
5-3 Dynamics of Uniform Circular Motion 122
5-4 Highway Curves: Banked and Unbanked 126
*5-5 Nonuniform Circular Motion 128
*5-6 Velocity-Dependent Forces: Drag and Terminal Velocity 129
SUMMARY 130
QUESTIONS 131
PROBLEMS 132
GENERAL PROBLEMS 136
6 GRAVITATION AND NEWTON'S6 SYNTHESIS 139
6-1 Newton's Law of Universal Gravitation 140
6-2 Vector Form of Newton's Law of Universal Gravitation 143
6-3 Gravity Near the Earth's Surface; Geophysical Applications 143
6-4 Satellites and “Weightlessness” 146
6-5 Kepler's Laws and Newton's Synthesis 149
*6-6 Gravitational Field 154
6-7 Types of Forces in Nature 155
*6-8 Principle of Equivalence; Curvature of Space; Black Holes 155
SUMMARY 157
QUESTIONS 157
PROBLEMS 158
GENERAL PROBLEMS 160
7 WORK AND ENERGY 163
7-1 Work Done by a Constant Force 164
7-2 Scalar Product of Two Vectors 167
7-3 Work Done by a Varying Force 168
7-4 Kinetic Energy and the Work-Energy Principle 172
SUMMARY 176
QUESTIONS 177
PROBLEMS 177
GENERAL PROBLEMS 180
8 CONSERVATION OF ENERGY 183
8-1 Conservative and Nonconservative Forces 184
8-2 Potential Energy 186
8-3 Mechanical Energy and Its Conservation 189
8-4 Problem Solving Using Conservation of Mechanical Energy 190
8-5 The Law of Conservation of Energy 196
8-6 Energy Conservation with Dissipative Forces: Solving Problems 197
8-7 Gravitational Potential Energy and Escape Velocity 199
8-8 Power 201
*8-9 Potential Energy Diagrams; Stable and Unstable Equilibrium 204
SUMMARY 205
QUESTIONS 205
PROBLEMS 207
GENERAL PROBLEMS 211
9 LINEAR MOMENTUM 214
9-1 Momentum and Its Relation to Force 215
9-2 Conservation of Momentum 217
9-3 Collisions and Impulse 220
9-4 Conservation of Energy and Momentum in Collisions 222
9-5 Elastic Collisions in One Dimension 222
9-6 Inelastic Collisions 225
9-7 Collisions in Two or Three Dimensions 227
9-8 Center of Mass (CM) 230
9-9 Center of Mass and Translational Motion 234
*9-10 Systems of Variable Mass; Rocket Propulsion 236
SUMMARY 239
QUESTIONS 239
PROBLEMS 240
GENERAL PROBLEMS 245
10 ROTATIONAL MOTION 248
10-1 Angular Quantities 249
10-2 Vector Nature of Angular Quantities 254
10-3 Constant Angular Acceleration 255
10-4 Torque 256
10-5 Rotational Dynamics; Torque and Rotational Inertia 258
10-6 Solving Problems in Rotational Dynamics 260
10-7 Determining Moments of Inertia 263
10-8 Rotational Kinetic Energy 265
10-9 Rotational Plus Translational Motion; Rolling 267
*10-10 Why Does a Rolling Sphere Slow Down? 273
SUMMARY 274
QUESTIONS 275
PROBLEMS 276
GENERAL PROBLEMS 281
11 ANGULAR MOMENTUM; GENERAL ROTATION 284
11-1 Angular Momentum-Object Rotating About a Fixed Axis 285
11-2 Vector Cross Product; Torque as a Vector 289
11-3 Angular Momentum of a Particle 291
11-4 Angular Momentum and Torque for a System of Particles; General Motion 292
11-5 Angular Momentum and Torque for a Rigid Object 294
11-6 Conservation of Angular Momentum 297
*11-7 The Spinning Top and Gyroscope 299
*11-8 Rotating Frames of Reference; Inertial Forces 300
*11-9 The Coriolis Effect 301
SUMMARY 302
QUESTIONS 303
PROBLEMS 303
GENERAL PROBLEMS 308
12 STATIC EQUILIBRIUM; ELASTICITY AND FRACTURE 311
12-1 The Conditions for Equilibrium 312
12-2 Solving Statics Problems 313
12-3 Stability and Balance 317
12-4 Elasticity; Stress and Strain 318
12-5 Fracture 322
*12-6 Trusses and Bridges 324
*12-7 Arches and Domes 327
SUMMARY 329
QUESTIONS 329
PROBLEMS 330
GENERAL PROBLEMS 334
13 FLUIDS 339
13-1 Phases of Matter 340
13-2 Density and Specific Gravity 340
13-3 Pressure in Fluids 341
13-4 Atmospheric Pressure and Gauge Pressure 345
13-5 Pascal's Principle 346
13-6 Measurement of Pressure; Gauges and the Barometer 346
13-7 Buoyancy and Archimedes' Principle 348
13-8 Fluids in Motion; Flow Rate and the Equation of Continuity 352
13-9 Bernoulli's Equation 354
13-10 Applications of Bernoulli's Principle: Torricelli, Airplanes, Baseballs, TIA 356
*13-11 Viscosity 358
*13-12 Flow in Tubes: Poiseuille's Equation, Blood Flow 358
*13-13 Surface Tension and Capillarity 359
*13-14 Pumps, and the Heart 361
SUMMARY 361
QUESTIONS 362
PROBLEMS 363
GENERAL PROBLEMS 367
14 OSCILLATIONS 369
14-1 Oscillations of a Spring 370
14-2 Simple Harmonic Motion 372
14-3 Energy in the Simple Harmonic Oscillator 377
14-4 Simple Harmonic Motion Related to Uniform Circular Motion 379
14-5 The Simple Pendulum 379
*14-6 The Physical Pendulum and the Torsion Pendulum 381
14-7 Damped Harmonic Motion 382
14-8 Forced Oscillations; Resonance 385
SUMMARY 387
QUESTIONS 388
PROBLEMS 388
GENERAL PROBLEMS 393
15 WAVE MOTION 396
15-1 Characteristics of Wave Motion 397
15-2 Types of Waves: Transverse and Longitudinal 398
15-3 Energy Transported by Waves 403
15-4 Mathematical Representation of a Traveling Wave 405
*15-5 The Wave Equation 407
15-6 The Principle of Superposition 409
15-7 Reflection and Transmission 410
15-8 Interference 412
15-9 Standing Waves; Resonance 413
*15-10 Refraction 416
*15-11 Diffraction 418
SUMMARY 419
QUESTIONS 419 PROBLEMS 420 GENERAL PROBLEMS 424
16 SOUND 426
16-1 Characteristics of Sound 427
16-2 Mathematical Representation of Longitudinal Waves 428
16-3 Intensity of Sound: Decibels 429
16-4 Sources of Sound: Vibrating Strings and Air Columns 433
*16-5 Quality of Sound, and Noise; Superposition 438
16-6 Interference of Sound Waves; Beats 439
16-7 Doppler Effect 441
*16-8 Shock Waves and the Sonic Boom 445
*16-9 Applications: Sonar, Ultrasound, and Medical Imaging 446
SUMMARY 448
QUESTIONS 449
PROBLEMS 450
GENERAL PROBLEMS 453
17 TEMPERATURE, THERMAL EXPANSION, AND THE IDEAL GAS LAW 456
17-1 Atomic Theory of Matter 457
17-2 Temperature and Thermometers 458
17-3 Thermal Equilibrium and the Zeroth Law of Thermodynamics 461
17-4 Thermal Expansion 461
*17-5 Thermal Stresses 464
17-6 The Gas Laws and Absolute Temperature 465
17-7 The Ideal Gas Law 467
17-8 Problem Solving with the Ideal Gas Law 468
17-9 Ideal Gas Law in Terms of Molecules: Avogadro's Number 470
*17-10 Ideal Gas Temperature Scale-a Standard 471
SUMMARY 472
QUESTIONS 473
PROBLEMS 473
GENERAL PROBLEMS 476
18 KINETIC THEORY OF GASES 478
18-1 The Ideal Gas Law and the Molecular Interpretation of Temperature 478
18-2 Distribution of Molecular Speeds 482
18-3 Real Gases and Changes of Phase 484
18-4 Vapor Pressure and Humidity 486
*18-5 Van der Waals Equation of State 488
*18-6 Mean Free Path 489
*18-7 Diffusion 491
SUMMARY 492
QUESTIONS 493
PROBLEMS 494
GENERAL PROBLEMS 496
19 HEAT AND THE FIRST LAW OF THERMODYNAMICS 498
19-1 Heat as Energy Transfer 499
19-2 Internal Energy 500
19-3 Specific Heat 501
19-4 Calorimetry-Solving Problems 502
19-5 Latent Heat 504
19-6 The First Law of Thermodynamics 507
19-7 Applying the First Law of Thermodynamics; Calculating the Work 509
19-8 Molar Specific Heats for Gases, and the Equipartition of Energy 513
19-9 Adiabatic Expansion of a Gas 516
19-10 Heat Transfer: Conduction, Convection, Radiation 517
SUMMARY 522
QUESTIONS 523
PROBLEMS 524
GENERAL PROBLEMS 528
20 SECOND LAW OF THERMODYNAMICS 530
20-1 The Second Law of Thermodynamics-Introduction 531
20-2 Heat Engines 532
20-3 Reversible and Irreversible Processes; the Carnot Engine 535
20-4 Refrigerators, Air Conditioners, and Heat Pumps 538
20-5 Entropy 541
20-6 Entropy and the Second Law of Thermodynamics 543
20-7 Order to Disorder 546
20-8 Unavailability of Energy; Heat Death 547
*20-9 Statistical Interpretation of Entropy and the Second Law 548
*20-10 Thermodynamic Temperature Scale; Absolute Zero and the Third Law of Thermodynamics 550
*20-11 Thermal Pollution, Global Warming, and Energy Resources 551
SUMMARY 554
QUESTIONS 554
PROBLEMS 555
GENERAL PROBLEMS 559