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Preface xiii
Chapter 1 Inertial Frames and Classical Mechanics 1
1.1 Inertial Frames and Newton's Laws 1
1.2 The Galilean Transformation 4
1.3 Newton's Third Law and Momentum Conservation 8
1.4 Energy 11
Sample Problems 14
Problems 15
Chapter 2 Light and the Ether 19
2.1 The Aberration of Light 20
2.2 The Michelson-Morley Experiment 21
Sample Problems 24
Problems 27
Chapter 3 Einstein's Postulates 29
3.1 A Revolutionary Proposal 29
3.2 Spheres of Light 32
Sample Problems 34
Problems 36
Chapter 4 Time Dilation 39
4.1 The Light Clock 41
4.2 Measuring Time Dilation 43
4.3 Evidence 44
Sample Problems 46
Problems 48
Chapter 5 Lengths 51
5.1 Transverse Lengths 51
5.2 The Longitudinal Contraction of Lengths 52
5.3 The Longitudinal Light Clock 55
Sample Problems 58
Problems 60
Chapter 6 Simultaneity 63
6.1 The Relativity of Simultaneity 63
6.2 Clock Synchronization in a Single Reference Frame 65
6.3 In the Very Process of Synchronizing Two Clocks, a Moving Observer Disagrees 68
6.4 Overall Summary 71
6.5 No Universal Now! 71
Sample Problems 72
Problems 76
Chapter 7 Paradoxes 81
7.1 If Your Clock Runs Slow to Me, How Can My Clock Run Slow to You? 81
7.2 If Your Meterstick is Short to Me, How Can My Meterstick Be Short to You? 84
7.3 The Magician's Assistant 85
7.4 Rigid Bodies, a Pole Vaulter, and a Barn 88
7.5 The Twin "Paradox" 90
Sample Problems 91
Problems 93
Chapter 8 The Lorentz Transformation 97
8.1 Derivation of the Lorentz Transformation 98
8.2 Time Dilation, Length Contraction, and Leading Clocks 100
8.3 The Velocity Transformation 102
Sample Problems 106
Problems 108
Chapter 9Spacetime 113
9.1 Minkowski Spacetime 115
9.2 Timelike, Null, and Spacelike Intervals 118
Sample Problems 122
Problems 126
Chapter 10 Momentum 131
10.1 Classical Momentum 131
10.2 Momentum in Relativity 133
10.3 Momentum in Four-Dimensional Spacetime 133
Sample Problems 139
Problems 141
Chapter 11 Energy 143
11.1 Energy and Inertia 143
11.2 The Energy-Momentum Four-Vector 146
11.3 Example: The Decay of a Particle 150
11.4 Energy Units 151
11.5 Photons 153
Sample Problems 154
Problems 156
Chapter 12 Applications 159
12.1 Binding Energy in Atoms and Molecules 159
12.2 Nuclear Binding Energies 162
12.3 Decays of Single Particles into Two Particles 164
12.4 Decay into Three Particles 167
12.5 Photoproduction of Pions 168
12.6 Compton Scattering 170
12.7 Forbidden Reactions 172
12.8 Photon Rockets 172
Sample Problems 174
Problems 176
Chapter 13 Transforming Energy and Momentum 181
13.1 The Energy-Momentum Transformation 182
13.2 Light Aberration and the Relativistic Doppler Effect 184
13.3 The Appearance of Stars to a Fast-Moving Spaceship 191
13.4 Threshold Energies 192
13.5 Colliding-Beam Experiments 196
Sample Problems 197
Problems 199
Chapter 14 Gravitation 203
14.1 The Principle of Equivalence 204
14.2 Clock Rates 207
14.3 The Hafele-Keating Experiment 208
14.4 Satellite Clocks 212
14.5 The Global Positioning System 213
References 217
Sample Problems 217
Problems 219
Appendix A The Binomial Approximation 223
Problems 226
Appendix B The "Paradox" of Light Spheres 227
Appendix C The Appearance of Moving Objects 233
C.1 An Approaching Spaceship 233
C.2 Quasar Jets 234
C.3 The "Terrell Twist" 236
Problems 240
Appendix D The Twin Paradox Revisited 243
Appendix E The "Cosmic Speed Limit" 251
E.1 Some Difficulties 251
E.2 Causality Paradoxes 252
E.3 "Things" That Go Faster Than Light 255
Problems 257
Appendix F "Relativistic Mass" and Relativistic Forces 259
F.1 "Relativistic Mass" 259
F.2 Forces and Newton's Second Law 261
F.3 Constant-Force Motion 262
F.4 General One-Dimensional Motion 263
Problems 264
Appendix G The Ultimate Relativistic Spaceflight 267
Problems 274
Appendix H Nuclear Decays, Fission, and Fusion 277
H.1 Nuclear Decays 277
H.2 Nuclear Fusion 279
H.3 Nuclear Fission 281
Problems 283
Appendix I Some Particles 287
Appendix J Relativity and Electromagnetism 289
Answers to Some Odd-Numbered Problems 295
Index 301
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Add Special Relativity, Special Relativity is a superb text for students to begin or continue a serious study of physics. It is appropriate as part of an introductory physics course, as a supplement to a Modern Physics course, as a text for a special topics or advanced placement, Special Relativity to the inventory that you are selling on WonderClubX
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Add Special Relativity, Special Relativity is a superb text for students to begin or continue a serious study of physics. It is appropriate as part of an introductory physics course, as a supplement to a Modern Physics course, as a text for a special topics or advanced placement, Special Relativity to your collection on WonderClub |