Physics I - Mis.kp.ac.rw

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Science/Physicsg Easier!Making Everythin 2nd EditionThe fast and easy wayto get up to speed on physics Get into motion — start your journey with a look at acceleration,velocity, and displacement, which is a great way to understandhow physics works May the force be with you — get the 411 on Newton’s laws andeasily grasp equal and opposite forces, inertia and mass, friction,equilibrium, and much more Make physics work — discover the ins and outs of turning energyinto work, conserving mechanical energy, and seeing how rotationalmotion makes the world go ‘roundIscisyPh How to measure displacement,speed, velocity, and acceleration Math fundamentals and systemsof measurement you need to know Plain-English explanations ofNewton’s laws The lowdown on gravity, inclinedplanes, and friction A look at centripetal acceleration,momentum and impulse, andangular kinetics The scoop on fluids, flow,and pressurePhysics IIf just thinking about the laws of physics makes your headspin, this hands-on, friendly guide gets you out of theblack hole and sheds light on this often-intimidatingsubject. Tracking to a typical Physics I course, it teachesyou the basic principles and formulas in a clear and concisemanner, proving that you don’t have to be Einstein tounderstand physics!Open the book and find: The laws of thermodynamics Turn up the heat with thermodynamics — find out everythingyou need to know about the physics of heat, temperature, andthe ideal gas laws you’ll encounter in your studiesLearn to: Get up to speed on the basicconcepts of physicsGo to Dummies.com for videos, step-by-step examples,how-to articles, or to shop! Grasp formulas in a clear andconcise manner Explore the newest discoveriesin the field 19.99 US / 23.99 CN / 14.99 UKSteven Holzner, PhD is a former contributing editor at PC Magazineand has been on the faculty of both MIT and Cornell University. He isthe author of Physics II For Dummies, Physics Essentials For Dummies, andQuantum Physics For Dummies.ISBN 978-0-470-90324-7Steven Holzner, PhDHolznerEducator and author2nd Edition

Get More and Do More at Dummies.com Start with FREE Cheat SheetsCheat Sheets include Checklists Charts Common Instructions And Other Good Stuff!To access the Cheat Sheet created specifically for this book, go towww.dummies.com/cheatsheet/physics1sppAeliMobGet Smart at Dummies.comDummies.com makes your life easier with 1,000sof answers on everything from removing wallpaperto using the latest version of Windows.Check out our Videos Illustrated Articles Step-by-Step InstructionsPlus, each month you can win valuable prizes by enteringour Dummies.com sweepstakes. *Want a weekly dose of Dummies? Sign up for Newsletters on Digital Photography Microsoft Windows & Office Personal Finance & Investing Health & Wellness Computing, iPods & Cell Phones eBay Internet Food, Home & GardenFind out “HOW” at Dummies.com*Sweepstakes not currently available in all countries; visit Dummies.com for official rules.There’s a Dummies App for This and ThatWith more than 200 million books in print and over 1,600 uniquetitles, Dummies is a global leader in how-to information. Nowyou can get the same great Dummies information in an App. Withtopics such as Wine, Spanish, Digital Photography, Certification,and more, you’ll have instant access to the topics you need toknow in a format you can trust.To get information on all our Dummies apps, visit the following:www.Dummies.com/go/mobile from your computer.www.Dummies.com/go/iphone/apps from your phone.

Physics IFORDUMmIES‰2NDEDITION

Physics IFORDUMmIES‰2NDEDITIONby Steven Holzner, PhD

Physics I For Dummies , 2nd EditionPublished byWiley Publishing, Inc.111 River St.Hoboken, NJ 07030-5774www.wiley.comCopyright 2011 by Wiley Publishing, Inc., Indianapolis, IndianaPublished by Wiley Publishing, Inc., Indianapolis, IndianaPublished simultaneously in CanadaNo part of this publication may be reproduced, stored in a retrieval system or transmitted in any form orby any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permittedunder Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior writtenpermission of the Publisher, or authorization through payment of the appropriate per-copy fee to theCopyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600.Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley& Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions.Trademarks: Wiley, the Wiley Publishing logo, For Dummies, the Dummies Man logo, A Reference for theRest of Us!, The Dummies Way, Dummies Daily, The Fun and Easy Way, Dummies.com, Making EverythingEasier, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc. and/or its affiliates in the United States and other countries, and may not be used without written permission.All other trademarks are the property of their respective owners. Wiley Publishing, Inc., is not associatedwith any product or vendor mentioned in this book.LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: THE PUBLISHER AND THE AUTHOR MAKE NOREPRESENTATIONS OR WARRANTIES WITH RESPECT TO THE ACCURACY OR COMPLETENESS OFTHE CONTENTS OF THIS WORK AND SPECIFICALLY DISCLAIM ALL WARRANTIES, INCLUDING WITHOUT LIMITATION WARRANTIES OF FITNESS FOR A PARTICULAR PURPOSE. NO WARRANTY MAY BECREATED OR EXTENDED BY SALES OR PROMOTIONAL MATERIALS. THE ADVICE AND STRATEGIESCONTAINED HEREIN MAY NOT BE SUITABLE FOR EVERY SITUATION. THIS WORK IS SOLD WITH THEUNDERSTANDING THAT THE PUBLISHER IS NOT ENGAGED IN RENDERING LEGAL, ACCOUNTING, OROTHER PROFESSIONAL SERVICES. IF PROFESSIONAL ASSISTANCE IS REQUIRED, THE SERVICES OFA COMPETENT PROFESSIONAL PERSON SHOULD BE SOUGHT. NEITHER THE PUBLISHER NOR THEAUTHOR SHALL BE LIABLE FOR DAMAGES ARISING HEREFROM. THE FACT THAT AN ORGANIZATION OR WEBSITE IS REFERRED TO IN THIS WORK AS A CITATION AND/OR A POTENTIAL SOURCEOF FURTHER INFORMATION DOES NOT MEAN THAT THE AUTHOR OR THE PUBLISHER ENDORSESTHE INFORMATION THE ORGANIZATION OR WEBSITE MAY PROVIDE OR RECOMMENDATIONS ITMAY MAKE. FURTHER, READERS SHOULD BE AWARE THAT INTERNET WEBSITES LISTED IN THISWORK MAY HAVE CHANGED OR DISAPPEARED BETWEEN WHEN THIS WORK WAS WRITTEN ANDWHEN IT IS READ.For general information on our other products and services, please contact our Customer CareDepartment within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002.For technical support, please visit www.wiley.com/techsupport.Wiley also publishes its books in a variety of electronic formats. Some content that appears in print maynot be available in electronic books.Library of Congress Control Number: 2011926317ISBN: 978-0-470-90324-7Manufactured in the United States of America10 9 8 7 6 5 4 3 2 1

About the AuthorSteven Holzner is an award-winning author of 94 books, which have soldmore than 2 million copies and have been translated into 18 languages. Heserved on the Physics faculty at Cornell University for more than a decade,teaching both Physics 101 and Physics 102. Dr. Holzner received his PhD inphysics from Cornell and performed his undergrad work at MIT, where hehas also served as a faculty member.

DedicationTo Nancy.Author’s AcknowledgmentsAny book such as this one is the work of many people besides the author. I’dlike to thank my acquisitions editor, Stacy Kennedy, and everyone else whohad a hand in the book’s contents, including Tracy Barr, Danielle Voirol, JoelBryan, Eric Hedin, and Neil Clark. Thank you, everyone.

Publisher’s AcknowledgmentsWe’re proud of this book; please send us your comments at http://dummies.custhelp.com. Forother comments, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002.Some of the people who helped bring this book to market include the following:Acquisitions, Editorial, and MediaDevelopmentEditors: Tracy Barr, Danielle VoirolComposition ServicesProject Coordinator: Katherine CrockerAcquisitions Editor: Stacy KennedyLayout and Graphics: Corrie Socolovitch,Christin Swinford, Laura WesthuisAssistant Editor: David LuttonProofreaders: Laura Albert, Laura BowmanEditorial Program Coordinator: Joe NiesenIndexer: Infodex Indexing Services, Inc.Technical Editors: Joel Bryan, PhD;Eric Hedin, PhDSpecial HelpNeil Clark, Krista FanningEditorial Managers: Jennifer Erhlich, SeniorEditorial Manager; Carmen Krikorian,Editorial Supervisor and Reprint EditorEditorial Assistants: Jennette ElNaggar,Rachelle S. AmickCover Photos: iStockphoto.com / Marco MartinsCartoons: Rich Tennant (www.the5thwave.com)Publishing and Editorial for Consumer DummiesDiane Graves Steele, Vice President and Publisher, Consumer DummiesKristin Ferguson-Wagstaffe, Product Development Director, Consumer DummiesEnsley Eikenburg, Associate Publisher, TravelKelly Regan, Editorial Director, TravelPublishing for Technology DummiesAndy Cummings, Vice President and Publisher, Dummies Technology/General UserComposition ServicesDebbie Stailey, Director of Composition Services

Contents at a GlanceIntroduction . 1Part I: Putting Physics into Motion . 5Chapter 1: Using Physics to Understand Your World . 7Chapter 2: Reviewing Physics Measurement and Math Fundamentals . 15Chapter 3: Exploring the Need for Speed . 27Chapter 4: Following Directions: Motion in Two Dimensions . 51Part II: May the Forces of Physics Be with You . 77Chapter 5: When Push Comes to Shove: Force . 79Chapter 6: Getting Down with Gravity, Inclined Planes, and Friction. 99Chapter 7: Circling around Rotational Motion and Orbits . 117Chapter 8: Go with the Flow: Looking at Pressure in Fluids . 137Part III: Manifesting the Energy to Work . 161Chapter 9: Getting Some Work Out of Physics. 163Chapter 10: Putting Objects in Motion: Momentum and Impulse . 187Chapter 11: Winding Up with Angular Kinetics. 207Chapter 12: Round and Round with Rotational Dynamics . 233Chapter 13: Springs ’n’ Things: Simple Harmonic Motion . 251Part IV: Laying Down the Laws of Thermodynamics . 269Chapter 14: Turning Up the Heat with Thermodynamics. 271Chapter 15: Here, Take My Coat: How Heat Is Transferred. 287Chapter 16: In the Best of All Possible Worlds: The Ideal Gas Law . 303Chapter 17: Heat and Work: The Laws of Thermodynamics . 315Part V: The Part of Tens . 345Chapter 18: Ten Physics Heroes . 347Chapter 19: Ten Wild Physics Theories . 353Glossary . 361Index . 367

Table of ContentsIntroduction . 1About This Book . 1Conventions Used in This Book . 1What You’re Not to Read . 2Foolish Assumptions . 2How This Book Is Organized . 2Part I: Putting Physics into Motion . 2Part II: May the Forces of Physics Be with You . 3Part III: Manifesting the Energy to Work . 3Part IV: Laying Down the Laws of Thermodynamics . 3Part V: The Part of Tens . 3Icons Used in This Book . 4Where to Go from Here . 4Part I: Putting Physics into Motion . 5Chapter 1: Using Physics to Understand Your World . . . . . . . . . . . . . . .7What Physics Is All About . 7Observing the world . 8Making predictions . 8Reaping the rewards. 9Observing Objects in Motion . 10Measuring speed, direction, velocity, and acceleration . 10Round and round: Rotational motion. 11Springs and pendulums: Simple harmonic motion. 11When Push Comes to Shove: Forces . 12Absorbing the energy around you . 13That’s heavy: Pressures in fluids . 13Feeling Hot but Not Bothered: Thermodynamics . 14

xiiPhysics I For Dummies, 2nd EditionChapter 2: Reviewing Physics Measurementand Math Fundamentals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15Measuring the World around You and Making Predictions . 15Using systems of measurement . 16From meters to inches and back again:Converting between units . 17Eliminating Some Zeros: Using Scientific Notation . 19Checking the Accuracy and Precision of Measurements . 21Knowing which digits are significant. 21Estimating accuracy . 23Arming Yourself with Basic Algebra . 23Tackling a Little Trig . 24Interpreting Equations as Real-World Ideas. 25Chapter 3: Exploring the Need for Speed. . . . . . . . . . . . . . . . . . . . . . . . .27Going the Distance with Displacement . 28Understanding displacement and position . 28Examining axes . 29Speed Specifics: What Is Speed, Anyway? . 31Reading the speedometer: Instantaneous speed . 32Staying steady: Uniform speed. 33Shifting speeds: Nonuniform motion . 33Busting out the stopwatch: Average speed . 33Speeding Up (Or Down): Acceleration . 35Defining acceleration . 36Determining the units of acceleration . 36Looking at positive and negative acceleration . 37Examining average and instantaneous acceleration . 40Taking off: Putting the acceleration formula into practice. 40Understanding uniform and nonuniform acceleration . 42Relating Acceleration, Time, and Displacement . 42Not-so-distant relations: Deriving the formula. 43Calculating acceleration and distance . 44Linking Velocity, Acceleration, and Displacement . 47Finding acceleration . 47Solving for displacement . 49Finding final velocity . 49

Table of ContentsChapter 4: Following Directions: Motion in Two Dimensions. . . . . . .51Visualizing Vectors . 52Asking for directions: Vector basics . 52Looking at vector addition from start to finish . 53Going head-to-head with vector subtraction . 54Putting Vectors on the Grid . 55Adding vectors by adding coordinates . 55Changing the length: Multiplying a vector by a number . 57A Little Trig: Breaking Up Vectors into Components. 57Finding vector components . 58Reassembling a vector from its components . 61Featuring Displacement, Velocity, and Acceleration in 2-D . 64Displacement: Going the distance in two dimensions . 64Velocity: Speeding in a new direction . 68Acceleration: Getting a new angle on changes in velocity . 69Accelerating Downward: Motion under the Influence of Gravity . 70The golf-ball-off-the-cliff exercise . 71The how-far-can-you-kick-the-ball exercise . 74Part II: May the Forces of Physics Be with You. 77Chapter 5: When Push Comes to Shove: Force . . . . . . . . . . . . . . . . . . . .79Newton’s First Law: Resisting with Inertia . 80Resisting change: Inertia and mass . 81Measuring mass . 82Newton’s Second Law: Relating Force, Mass, and Acceleration . 82Relating the formula to the real world . 83Naming units of force . 84Vector addition: Gathering net forces. 84Newton’s Third Law: Looking at Equal and Opposite Forces . 90Seeing Newton’s third law in action . 90Pulling hard enough to overcome friction. 91Pulleys: Supporting double the force . 92Analyzing angles and force in Newton’s third law. 93Finding equilibrium . 96xiii

xivPhysics I For Dummies, 2nd EditionChapter 6: Getting Down with Gravity,Inclined Planes, and Friction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .99Acceleration Due to Gravity: One of Life’s Little Constants. 100Finding a New Angle on Gravity with Inclined Planes. 100Finding the force of gravity along a ramp . 101Figuring the speed along a ramp. 103Getting Sticky with Friction . 103Calculating friction and the normal force . 104Conquering the coefficient of friction . 105On the move: Understanding static and kinetic friction . 106A not-so-slippery slope: Handling uphill and downhill friction . 108Let’s Get Fired Up! Sending Objects Airborne . 113Shooting an object straight up . 113Projectile motion: Firing an object at an angle . 115Chapter 7: Circling around Rotational Motion and Orbits . . . . . . . . .117Centripetal Acceleration: Changing Direction to Move in a Circle . 117Keeping a constant speed with uniform circular motion . 118Finding the magnitude of the centripetal acceleration . 120Seeking the Center: Centripetal Force . 120Looking at the force you need. 121Seeing how the mass, velocity, andradius affect centripetal force . 122Negotiating flat curves and banked turns. 123Getting Angular with Displacement, Velocity, and Acceleration . 125Measuring angles in radians . 126Relating linear and angular motion . 127Letting Gravity Supply Centripetal Force . 128Using Newton’s law of universal gravitation . 129Deriving the force of gravity on the Earth’s surface . 130Using the law of gravitation to examine circular orbits . 131Looping the Loop: Vertical Circular Motion . 134Chapter 8: Go with the Flow: Looking at Pressure in Fluids . . . . . . .137Mass Density: Getting Some Inside Information . 138Calculating density . 138Comparing densities with specific gravity . 139Applying Pressure . 140Looking at units of pressure . 140Connecting pressure to changes in depth . 141Hydraulic machines: Passing on pressurewith Pascal’s principle. 145Buoyancy: Float Your Boat with Archimedes’s Principle . 147Fluid Dynamics: Going with Fluids in Motion . 150Characterizing the type of flow . 150Picturing flow with streamlines . 152

Table of ContentsGetting Up to Speed on Flow and Pressure . 153The equation of continuity: Relating pipe size and flow rates . 153Bernoulli’s equation: Relating speed and pressure . 156Pipes and pressure: Putting it all together . 157Part III: Manifesting the Energy to Work. 161Chapter 9: Getting Some Work Out of Physics . . . . . . . . . . . . . . . . . . .163Looking for Work . 163Working on measurement systems . 164Pushing your weight: Applying forcein the direction of movement . 164Using a tow rope: Applying force at an angle . 166Negative work: Applying force oppositethe direction of motion. 168Making a Move: Kinetic Energy . 169The work-energy theorem: Turning work into kinetic energy . 169Using the kinetic energy equation . 170Calculating changes in kinetic energy by using net force . 172Energy in the Bank: Potential Energy . 173To new heights: Gaining potential energyby working against gravity . 174Achieving your potential: Converting potentialenergy into kinetic energy . 175Choose Your Path: Conservative versus Nonconservative Forces . 176Keeping the Energy Up: The Conservation of Mechanical Energy . 177Shifting between kinetic and potential energy . 178The mechanical-energy balance: Finding velocity and height . 180Powering Up: The Rate of Doing Work. 181Using common units of power . 182Doing alternate calculations of power . 183Chapter 10: Putting Objects in Motion: Momentum and Impulse . . .187Looking at the Impact of Impulse . 187Gathering Momentum . 189The Impulse-Momentum Theorem: RelatingImpulse and Momentum . 189Shooting pool: Finding force from impulse and momentum .191Singing in the rain: An impulsive activity . 192When Objects Go Bonk: Conserving Momentum . 193Deriving the conservation formula . 193Finding velocity with the conservation of momentum .195Finding firing velocity with the conservation of momentum . 196xv

xviPhysics I For Dummies, 2nd EditionWhen Worlds (Or Cars) Collide: Elastic and Inelastic Collisions . 199Determining whether a collision is elastic . 199Colliding elastically along a line. 200Colliding elastically in two dimensions. 202Chapter 11: Winding Up with Angular Kinetics . . . . . . . . . . . . . . . . . .207Going from Linear to Rotational Motion . 207Understanding Tangential Motion. 208Finding tangential velocity . 209Finding tangential acceleration . 211Finding centripetal acceleration . 211Applying Vectors to Rotation. 214Calculating angular velocity . 214Figuring angular acceleration . 215Doing the Twist: Torque . 217Mapping out the torque equation . 219Understanding lever arms . 221Figuring out the torque generated. 221Recognizing that torque is a vector . 222Spinning at Constant Velocity: Rotational Equilibrium . 223Determining how much weight Hercules can lift.224Hanging a flag: A rotational equilibrium problem . 227Ladder safety: Introducing frictioninto rotational equilibrium. 229Chapter 12: Round and Round with Rotational Dynamics . . . . . . . . .233Rolling Up Newton’s Second Law into Angular Motion . 233Switching force to torque . 234Converting tangential acceleration to angular acceleration . 234Factoring in the moment of inertia . 235Moments of Inertia: Looking into Mass Distribution . 236DVD players and torque: A spinning-disk inertia example . 238Angular acceleration and torque: A pulley inertia example . 240Wrapping Your Head around Rotational Work and Kinetic Energy. 243Putting a new spin on work .

the author of Physics II For Dummies, Physics Essentials For Dummies, and Quantum Physics For Dummies. 19.99 US / 23.99 CN / 14.99 UK ISBN 978--470-90324-7 Science/Physics Go to Dummies.com for videos, step-by-step examples, how-to articles, or to shop! The fast and easy way to get up to speed on physics If just thinking about the laws .