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NOT FOR SALE College PhysiCs © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE College PhysiCs Putting It All Together Ron Hellings Montana State University Jeff Adams Montana State University Greg Francis Montana State University university science books mill valley, california © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE University Science Books Mill Valley, California www.uscibooks.com Editor: Jane Ellis Production manager: Julianna Scott Fein Manuscript editor: Lee Young Illustrator: Laurel Muller Text design: Yvonne Tsang at Wilsted & Taylor Cover design: Yvonne Tsang at Wilsted & Taylor Compositor: Laurel Muller Printer and binder: [to come] This book is printed on acid-free paper. Print ISBN 978-1-938787-93-5 eBook ISBN 978-1-938787-95-9 Copyright ©2017 by University Science Books Reproduction or translation of any part of this work beyond that permitted by Sec- tion 107 or 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawful. Requests for permission or further information should be addressed to the Permissions Department, University Science Books. Library of Congress Cataloging-in-Publication Data Names: Hellings, Ronald W., author. | Adams, Jeffrey P., author. | Francis, Gregory E., author. Title: College physics : putting it all together / Ron Hellings, Jeff Adams, Greg Francis. Description: Mill Valley, California : University Science Books, [2017] | Includes index. Identifiers: LCCN 2017010603| ISBN 9781938787935 (alk. paper) | ISBN 1938787935 (alk. paper) | ISBN 9781938787959 (eBook) | ISBN 1938787951 (eBook) Subjects: LCSH: Physics--Textbooks. Classification: LCC QC21.3 .H45 2017 | DDC 530--dc23 LC record available at https://lccn.loc.gov/2017010603 Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE To our wives and families for their continual support and to all of our former students who taught us so much. © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE CONTENTS Preface vii 1. INTrOduCTION 1 4. TwO-dImENSIONAl KINEmATICS 55 1.1 Measurement 2 4.1 Position Vectors and Coordinate 1.2 Arithmetic 4 Systems 55 1.3 Working with Units 6 4.2 Displacement and Velocity 56 1.4 Mathematics Requirements 7 4.3 Acceleration in Two Dimensions 57 1.5 Summary 7 4.4 Projectile Motion 61 1.6 Problems 8 4.5 Circular Motion and Centripetal Acceleration 65 2. O NE-dImENSIONAl KINEmATICS 11 4.6 Relative Velocity 68 2.1 The Coordinate System 11 4.7 Summary 70 2.2 Displacement 12 4.8 Problems 71 2.3 Velocity 13 2.4 Straight Line Acceleration: 5. NEwTON’S lAwS 79 Speeding Up and Slowing Down 15 5.1 Newton’s First Law 79 2.5 Graphing the Motion 19 5.2 Newton’s Second Law 80 2.6 Equations Governing Uniformly 5.3 Newton’s Third Law 83 Accelerated Motion 21 5.4 Forces 85 2.7 Free Fall 24 5.5 Free-Body Diagrams 87 2.8 How to Solve Physics Problems 25 5.6 Statics 90 2.9 Summary 29 5.7 Summary 91 2.10 Problems 30 5.8 Problems 91 3. VECTOrS 37 6. FOrCES 97 3.1 Superposition 37 6.1 Gravitational Force—Weight 00 3.2 Vectors and Scalars 37 6.2 Normal Force 00 3.3 Vector Addition 38 6.3 Frictional Forces—Kinetic and Static 000 3.4 Vector Subtraction 40 6.4 Problems On an Inclined Plane 000 3.5 Trigonometry Review 41 6.5 Tension 000 3.6 Vector Components 44 6.6 Elastic and Spring Forces 000 3.7 Vector Addition (Revisited) 45 6.7 Refrigerator Magnet Force 000 3.8 Summary 48 6.8 Apparent Weight 000 3.9 Problems 30 6.9 Centripetal Force 000 6.10 Centrifugal and Other Fictitious Forces 000 6.11 Summary 000 6.12 Problems 000 © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE 7. ENErgy 11. SImPlE hArmONIC mOTION 7.1 Forms of Energy 11.1 Period and Frequency 7.2 Energy Change and Work 11.2 Simple Harmonic Motion 7.3 Power 11.3 The Hanging Block on a Spring 7.4 C onservative and Non-Conservative 11.4 The Period Formula Forces 11.5 Energy in Simple Harmonic Motion 7.5 Conservation of Energy 11.6 Other Harmonic Oscillators 7.6 Solving Mechanical Energy Problems 11.7 Summary 7.7 Summary 11.8 Problems 7.8 Problems 12. PulSES ANd wAVES 8. mOmENTum 12.1 Definitions 8.1 Impulse and Momentum 12.2 Wave Speed 8.2 Collisions 12.3 Superposition of Pulses 8.3 The Three Flavors of Collisions 12.4 Reflection of Pulses at a Boundary 8.4 Collisions in Two Dimensions 12.5 Reflection of Pulses at a Boundary Between 8.5 Elastic Collisions in One Dimension Two Media 8.6 Summary 12.6 Properties of Continuous Waves 8.7 Problems 12.7 Sound 12.8 Beats 9. rOTATIONAl mEChANICS 12.9 The Doppler Effect 9.1 The Radian 12.10 Summary 9.2 Rotational Kinematics 12.11 Problems 9.3 Torque 9.4 Center of Mass 13. STANdINg wAVES 9.5 Extended Free-Body Diagrams 13.1 Standing Wave on a String 9.6 Rotational Inertia 13.2 Reflection of Sound in an Air Column 9.7 Angular Momentum and Kinetic Energy 13.3 Longitudinal Standing Waves: 9.8 Summary Open–Open Tube 9.9 Problems 13.4 Longitudinal Standing Waves: Open–Closed Tube 10. PrESSurE ANd FluIdS 13.5 Summary 10.1 Pressure 13.6 Problems 10.2 Pressure in Fluids 10.3 Pascal’s Principle 14. ThErmAl PhySICS 10.4 Archimedes’ Principle 14.1 Temperature 10.5 And What If It Floats? 14.2 Thermal Expansion 10.6 Summary 14.3 Specific Heat 10.7 Problems 14.4 Latent Heats 14.5 Summary 14.6 Problems © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE 15. ThErmOdyNAmICS 19. mAgNETIC FOrCES ANd FIEldS 15.1 Kinetic Theory of Gases 19.1 Magnetic Poles 15.2 Thermodynamics 19.2 Magnetic Fields 15.3 Specific Heats of a Gas 19.3 Magnetic Force on a Charged Particle 15.4 Summary 19.4 Magnetic Force on a Current-carrying 15.5 Problems Wire 19.5 Magnetic Field Due to a Wire 16. ElECTrIC FOrCES ANd FIEldS 19.6 Loops and Solenoids 16.1 Charge 19.7 Calculating the Magnetic Field 16.2 Coulomb’s Law 19.8 Ampere’s Law 16.3 Induction and Polarization 19.9 Magnetic Polarization and Refrigerator 16.4 Electric Fields Magnets 16.5 Superposition 19.10 Summary 16.6 Electric Field Lines 19.11 Problems 16.7 Uniformly Charged Sheets 16.8 Charged Conducting Plates 20. INduCTION 16.9 Electric Flux and Gauss’s Law 20.1 Faraday’s Law 16.10 Summary 20.2 Lenz’s Law 16.11 Problems 20.3 Inductors 20.4 Induced Magnetic Fields 17. VOlTAgE 20.5 Maxwell’s Equations 17.1 The Gravitational Potential 20.6 Summary 17.2 Electric Potential Energy and Voltage 20.7 Problems 17.3 Uniformly Charged Parallel Plates 17.4 Equipotential Surfaces 21. lIghT ANd ElECTrOmAgNETIC wAVES 17.5 Capacitance 21.1 Electromagnetic Waves 17.6 Polarization and Dielectrics 21.2 The Electromagnetic Spectrum 17.7 Energy in a Capacitor 21.3 Huygens’s Principle 17.8 Summary 21.4 Reflection and Refraction 17.9 Problems 21.5 Energy in Electromagnetic Waves 21.6 Summary 18. CIrCuITS 21.7 Problems 18.1 Current and Wires 18.2 Batteries 22. gEOmETrICAl OPTICS 18.3 Resistors and Light Bulbs 22.1 Spherical Waves and Curvature 18.4 Energy and Power in Circuit Elements 22.2 Thin Lenses 18.5 Circuits 22.3 Ray Tracing and Image Size 18.6 Experiments with Batteries and Light Bulbs 22.4 Spherical Mirrors 18.7 Equivalent Resistance 22.5 Combining Optical Elements 18.8 Kirchoff’s Laws 22.6 Optical Instruments 18.9 RC Circuits 22.7 Summary 18.10 Summary 22.8 Problems 18.11 Problems © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper. NOT FOR SALE 23. wAVE OPTICS 26. NuClEAr ANd PArTIClE 23.1 Double-Slit Interference PhySICS 23.2 Gratings 26.1 Nuclear Forces 23.3 Diffraction 26.2 Nuclear Reactions 23.4 Resolution 26.3 Elementary Particles 23.5 Thin Films 26.4 Fundamental Forces 23.6 Polarization 26.5 Epilogue 23.7 Summary 26.6 Summary 23.8 Problems 26.7 Problems 24. SPECIAl rElATIVITy Appendices 24.1 The Two Principles of Relativity Answers to Odd-Numbered Problems 24.2 The Three Effects Index 24.3 Applications and Paradoxes 24.4 Relative Velocity (Again) 24.5 Relativistic Mechanics 24.6 Summary 24.7 Problems 25. A TOmIC PhySICS ANd QuANTum mEChANICS 25.1 Photons 25.2 Atomic Physics 25.3 Quantum Mechanics 25.4 Spin and The Exclusion Principle 25.5 Summary 25.6 Problems © University Science Books 2017, ISBN: 978-1-938787-93-5, this preview material is copyrighted and for examination purposes only. Unauthorized distribution of this material is illegal and improper.

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10.4 Archimedes' Principle . the point of the principles being taught, without getting off on tangents; but we also want to table 2.1 Speed as a Function of Time for Uniformly Accelerated Motion. Time (s) be found by representing each displacement as an arrow, adding the arrows tail-to-head, and.
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