Produktbild: Doing Physics with Scientific Notebook

Doing Physics with Scientific Notebook A Problem Solving Approach

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

29.05.2012

Verlag

John Wiley & Sons

Seitenzahl

520

Maße (L/B/H)

25.2/17.2/3.3 cm

Gewicht

975 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-66598-5

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

29.05.2012

Verlag

John Wiley & Sons

Seitenzahl

520

Maße (L/B/H)

25.2/17.2/3.3 cm

Gewicht

975 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-66598-5

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  • Produktbild: Doing Physics with Scientific Notebook
  • Preface xv

    So we're all on the same page... xvii

    What is science? xviii

    To the Student xix

    To the Teacher xx

    Contact Information xx

    Acknowledgments xxi

    1 Introduction to SNB 1

    Why SNB? 1

    The Basics 2

    Physics à la mode: Math or Text 8

    Creating Mathematical Expressions 8

    Evaluate and Evaluate Numerically 11

    Scientific Notation 13

    Substitution and Endpoint Evaluation 14

    Solving Equations 17

    Solve Exact 18

    Solve Numeric 21

    Systems of Equations 24

    The Compute Menu 25

    Simplify and Expand 25

    Factor 26

    Rewrite and Combine 28

    Check Equality 29

    Polynomials 31

    Power Series 32

    Definitions 35

    Other Good Stuff 37

    Computing In-place 37

    Making Assumptions About Variables 37

    Limits 40

    A Few Words About Calculus 42

    Units 46

    Converting Units 47

    User-Defined Units 51

    Plotting 52

    Plot 2D Rectangular 54

    Other 2-Dimensional Plots 55

    Plot 3D Rectangular 58

    Cylindrical and Spherical Plots 60

    Plotting Data 63

    Fitting a Curve to Data 63

    Differential Equations 67

    Solve ODE Exact and Laplace 68

    Solve ODE Numeric 70

    Problems 75

    2 One-Dimensional Kinematics 83

    Constant Acceleration 83

    Displacement and Position 83

    Velocity and Acceleration 84

    Equations of Motion 86

    Signs of the Times 88

    Free Fall 89

    Varying Acceleration 91

    Displacement, Velocity, and Acceleration 91

    Equations of Motion 93

    Gravity and Air Resistance 96

    Resisting Air Resistance is Futile 97

    Long-Distance Free Fall 99

    Problems 102

    3 Vectors 105

    Components of a Vector 107

    Magnitude and Direction 108

    Adding Vectors 111

    The Component Method 112

    The SNB Method 113

    The Graphing Method 115

    Unit Vectors 119

    Multiplying Vectors 120

    Dot Product 121

    Cross Product 122

    Problems 125

    4 Projectile Motion 127

    No Air Resistance 127

    Trajectory 132

    Time of Flight 134

    Maximum Height 135

    Linear Air Resistance 137

    Trajectory 141

    Time of Flight and Range 143

    Maximum Height 145

    Turn Off the Air! 146

    Turn Down the Air! 147

    Quadratic Air Resistance 151

    Height-Dependent Air Resistance 152

    Problems 154

    5 Newton's Laws of Motion 157

    Newton's First Law 157

    Newton's Second Law for Constant Forces 158

    Newton's Second Law for Varying Forces 165

    Time-Dependent Forces 165

    Velocity-Dependent Forces 167

    Position-Dependent Forces 170

    Newton's Third Law 173

    Problems 175

    6 Conservation Laws 179

    Definitions 179

    Conservation of Energy 181

    Work 181

    The Work-Energy Theorem 185

    Potential Energy 186

    Mechanical Energy is Conserved 188

    A Complete Bookkeeping 191

    Conservation of Momentum 193

    Collisions in 1-Dimension 193

    Collisions in 2-Dimensions 196

    Rockets 199

    Deep Space 199

    Launch 202

    Air Resistance 207

    Varying Gravity and Air Resistance 213

    Problems 216

    7 Circular Motion 221

    Uniform Circular Motion 222

    The Rotating Umbrella 224

    Rotational Kinematics 227

    The Compact Disk 229

    Newton's Second Law and Circular Motion 233

    Uniform Circular Motion and the 2nd Law 233

    Non-Uniform Circular Motion and the 2nd Law 235

    Sliding on a Sphere 236

    Problems 248

    8 Harmonic Motion 251

    Simple Harmonic Motion, Simply 251

    Energy and SHM 254

    Not-Quite-as-Simple Harmonic Motion 255

    Energy and SHM, Again 257

    Damped Harmonic Motion 259

    Underdamped (ss2 < ¿20) 259

    Critically Damped (ss2 = ¿20) 261

    Overdamped (ss2 > ¿20) 262

    Driven Harmonic Motion 263

    Constant Driving Force, no Damping 263

    Sinusoidal Driving Force, no Damping 264

    Constant Driving Force with Damping 265

    Sinusoidal Driving Force with Damping 267

    Small Oscillations 270

    Not-so-Simple Harmonic Motion 272

    Problems 275

    9 Central Forces 279

    Equations of Motion 279

    Newtonian Gravitation 285

    Kepler's Laws 286

    The Effective Potential 292

    Two Special Forces 296

    The 3-d Harmonic Oscillator 296

    The Inverse-Square Force 299

    Numerical Stuff 303

    Problems 305

    10 Fluids 309

    Density and Pressure 309

    Static Fluids 311

    Buoyancy 312

    Fluids in Motion 314

    Bernoulli's Equation 316

    Applications of Bernoulli's Equation 318

    A More Realistic Approach 320

    Flow in a Pipe 321

    Stokes' Law 330

    Problems 331

    11 Temperature and Heat 335

    Temperature Scales 335

    Absolute Temperature 337

    Heat and Work 338

    Heat Flow 339

    Change in Temperature: Specific Heat 339

    Change in State: Latent Heat 340

    Calorimetry 341

    Varying Specific Heat 344

    The Specific Heat of Solids 345

    Problems 353

    12 Special Relativity 359

    The Two Postulates 360

    The Consequences 361

    Time Dilation 363

    Length Contraction 364

    Addition of Velocities 365

    Simultaneity 367

    The Lorentz Transformation 367

    Space-Time 370

    Relativistic Momentum and Energy 375

    Relativistic Collisions 378

    Relativistic Dynamics 382

    Four-Vectors 387

    Problems 392

    A Topics in Classical Physics 397

    Newton's Nose-Cone Problem 397

    Simple Shapes 398

    Frusta and Fudges 403

    Newton's Minimizer 409

    Indented Tips and the Minimizer 411

    The Shape of the Eiffel Tower 414

    An Interesting Classical Orbit 417

    Fisher's Crystal 421

    Problems 428

    B Topics in Modern Physics 435

    The Tale of the Traveling Triplets 435

    Trip 1: Constance goes to Vega 435

    Relativistic Interlude: Constant Acceleration 437

    Trip 2: Axel goes to Vega 441

    What happens on the way to Vega... 443

    Orbits in General Relativity 445

    Angular Momentum 447

    Precessing Ellipses and Periodic Orbits 451

    Be the Ball: Embedding Diagrams 456

    Classical Lifetime of a Hydrogen Atom 460

    Missed It By That Much 460

    Can Special Relativity Save the Day? 462

    Quantum Mechanical Bound States 465

    Infinite Square Well ("Particle in a Box") 467

    Finite Square Well 470

    V-shaped Linear Well 477

    Problems 483

    References and Suggested Reading 491

    Index 495