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Introduction | |

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About This Book | |

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Conventions Used in This Book | |

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Foolish Assumptions | |

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Icons Used in This Book | |

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Where to Go from Here | |

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Viewing the World through the Lens of Physics | |

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Figuring Out What Physics Is About | |

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Paying Attention to Objects in Motion | |

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Getting Energized | |

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Moving as Fast as You Can: Special Relativity | |

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Measuring Your World | |

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Keeping physical units straight | |

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Converting between units of measurement | |

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Nixing some zeros with scientific notation | |

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Knowing which digits are significant | |

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Taking Vectors Step by Step | |

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Getting a Grip on Vectors | |

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Looking for direction and magnitude | |

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Adding vectors | |

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Subtracting vectors | |

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Waxing Numerical on Vectors | |

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Working with Vector Components | |

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Using magnitudes and angles to find vector components | |

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Using vector components to find magnitudes and angles | |

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Going the Distance with Speed and Acceleration | |

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From Here to There: Dissecting Displacement | |

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Examining axes | |

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Measuring speed | |

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The Fast Track to Understanding Speed and Velocity | |

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How fast am I right now? Instantaneous speed | |

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Staying steady: Uniform speed | |

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Changing your speed: Nonuniform motion | |

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Doing some calculations: Average speed | |

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Contrasting average speed and instantaneous speed | |

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Speeding Up (or Slowing Down): Acceleration | |

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Defining our terms | |

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Recognizing positive and negative acceleration | |

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Looking at average and instantaneous acceleration | |

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Accounting for uniform and nonuniform acceleration | |

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Bringing Acceleration, Time, and Displacement Together | |

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Locating not-so-distant relations | |

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Equating more speedy scenarios | |

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Putting Speed, Acceleration, and Displacement Together | |

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Studying Circular Motions | |

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Understanding Uniform Circular Motion | |

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Creating Centripetal Acceleration | |

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Seeing how centripetal acceleration controls velocity | |

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Calculating centripetal acceleration | |

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Finding Angular Equivalents for Linear Equations | |

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Push-Ups and Pull-Ups: Exercises in Force | |

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Reckoning with Force | |

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Objects at Rest and in Motion: Newton's First Law | |

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Calculating Net Force: Newton's Second Law | |

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Gathering net forces | |

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Just relax: Dealing with tension | |

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A balancing act: Finding equilibrium | |

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Equal and Opposite Reactions: Newton's Third Law | |

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Falling Slowly: Gravity and Friction | |

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Dropping the Apple: Newton's Law of Gravitation | |

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Down to Earth: Dealing with Gravity | |

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Leaning Vertically with Inclined Planes | |

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Facing Friction | |

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Figuring out the normal force | |

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Finding the coefficient of friction | |

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Bringing static and kinetic friction into the mix | |

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Getting moving with static friction | |

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Staying in motion with kinetic friction | |

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Dealing with uphill friction | |

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Calculating the component weight | |

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Determining the force of friction | |

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Putting Physics to Work | |

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Wrapping Your Mind around Work | |

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Pushing your weight | |

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Taking a drag | |

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Working Backward: Negative Work | |

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Working Up a Sweat: Kinetic Energy | |

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Breaking down the kinetic energy equation | |

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Using the kinetic energy equation | |

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Calculating kinetic energy by using net force | |

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Saving Up: Potential Energy | |

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Working against gravity | |

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Converting potential energy into kinetic energy | |

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Pitting Conservative against Nonconservative Forces | |

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No Work Required: The Conservation of Mechanical Energy | |

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A Powerful Idea: The Rate of Doing Work | |

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Moving Objects with Impulse and Momentum | |

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Feeling a Sudden Urge to Do Physics: Impulse | |

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Mastering Momentum | |

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Connecting Impulse and Momentum | |

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Taking impulse and momentum to the pool hall | |

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Getting impulsive in the rain | |

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Watching Objects Go Bonk: The Conservation of Momentum | |

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Measuring Firing Velocity | |

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Examining Elastic and Inelastic Collisions | |

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Flying apart: Elastic collisions | |

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Sticking together: Inelastic collisions | |

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Colliding along a line | |

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Colliding in two dimensions | |

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Navigating the Twists and Turns of Angular Kinetics | |

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Changing Gears (and Equations) from Linear to Rotational Motion | |

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Tackling Tangential Motion | |

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Calculating tangential speed | |

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Figuring out tangential acceleration | |

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Looking at centripetal acceleration | |

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Applying Vectors to Rotation | |

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Analyzing angular velocity | |

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Working out angular acceleration | |

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Doing the Twist with Torque | |

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Walking through the torque equation | |

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Mastering lever arms | |

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Identifying the torque generated | |

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Realizing that torque is a vector | |

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No Spin, Just the Unbiased Truth: Rotational Equilibrium | |

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Taking a Spin with Rotational Dynamics | |

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Converting Newton's Second Law into Angular Motion | |

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Moving from tangential to angular acceleration | |

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Bringing the moment of inertia into play | |

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Finding Moments of Inertia for Standard Shapes | |

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Doing Rotational Work and Producing Kinetic Energy | |

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Making the transition to rotational work | |

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Solving for rotational kinetic energy | |

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Going Round and Round with Angular Momentum | |

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There and Back Again: Simple Harmonic Motion | |

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Homing in on Hooke's Law | |

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Staying within the elastic limit | |

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Exerting a restoring force | |

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Dï¿½jï¿½ Vu All Over Again: Simple Harmonic Motion | |

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Browsing the basics of simple harmonic motion | |

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Exploring some complexities of simple harmonic motion | |

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Breaking down the sine wave | |

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Getting periodic | |

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Studying the velocity | |

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Including the acceleration | |

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Finding angular frequencies of masses on springs | |

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Examining Energy in Simple Harmonic Motion | |

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Going for a Swing with Pendulums | |

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Ten Marvels of Relativity | |

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Nature Doesn't Play Favorites | |

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The Speed of Light Is Constant | |

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Time Contracts at High Speeds | |

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Space Travel Slows Down Aging | |

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Length Shortens at High Speeds | |

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Matter and Energy Are Equivalent: E = mc<sup>2<sup> | |

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Matter + Antimatter Equals Boom | |

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The Sun Is Losing Mass | |

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You Can't Surpass the Speed of Light | |

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Newton Was Right | |

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Index | |