AUTHOR Team Dan Bruni, B.Sc., M.Sc., B.Ed. York Catholic District School Board Greg Dick, B.Sc. (Hons), B.Ed., OCT Perimeter Institute for Theoretical Physics Jacob Speijer, B.Eng., M.Sc.Ed., P.Eng., OCT Simcoe County District School Board Charles Stewart, B.Sc., B.Ed. Peel District School Board Senior Program Consultant Maurice DiGiuseppe, Ph.D. University of Ontario Institute of Technology (UOIT) Formerly Toronto Catholic District School Board PROGRAM CONSULTANT Charles Stewart, B.Sc., B.Ed. Peel District School Board 8160_FM_pi-vii.indd 1 4/12/12 10:04 AM Nelson Physics 12 Senior Program Consultant Maurice DiGiuseppe Authors Dan Bruni Greg Dick Jacob Speijer Charles Stewart Contributing Authors Stefanie Clark Isha DeCoito Christopher T. Howes Ron Ricci Rob Vucic Editorial Director Linda Allison Manufacturing Sharon Latta Paterson Associate Publisher, Science David Spiegel Content Production Editors Cheryl Tiongson Shana Hayes Cover Design Ken Phipps Eugene Lo Jarrel Breckon Program Consultant Charles Stewart Managing Editor, Science Jennifer Hounsell Copyeditor Julia Cochrane Product Managers Doug Morrow Lorraine Young Proofreader Gerry Jenkison Program Manager Sarah Tanzini Indexer Marilyn Augst Senior Editor Betty Robinson Design Director Ken Phipps Developmental Editors Nancy Andraos Naomi Go Julia Hubble Winnie Siu Interior Design Greg Devitt Ken Phipps Glenn Toddun Courtney Hellam Eugene Lo Editorial Assistants Michelle Irvine Bonnie Lo Mina Shin Copyright © 2012 by Nelson Education Ltd. 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Requests which fall outside of Access Copyright guidelines must be submitted online to www.cengage.com/permissions. Further questions about permissions can be emailed to permissionrequest@cengage.com. ALL RIGHTS ARE OTHERWISE RESERVED. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanic, photocopying, scanning, recording or otherwise, except as specifically authorized. Every effort has been made to trace ownership of all copyrighted material and to secure permission from copyright holders. In the event of any question arising as to the use of any material, we will be pleased to make the necessary corrections in future printings. All student activities and investigations in this textbook have been designed to be as safe as possible, and have been reviewed by professionals specifically for that purpose. 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However, responsibility for safety remains with the student, the classroom teacher, the school principal, and the school board. 8160_FM_pi-vii.indd 2 5/3/12 2:07 PM Reviewers Accuracy Reviewers Deepak Chandan University of Toronto, Department of Physics Richard Epp Perimeter Institute for Theoretical Physics, Scientific Outreach Manager Martin Williams University of Guelph, Department of Physics Assessment Reviewers Damian Cooper Education Consultant Nelson Education Author Alistair MacLeod Limestone DSB Catholicity Consultant Ted Laxton Faculty of Education, Wilfred Laurier University Formerly Wellington Catholic DSB ESL Consultant Paula Markus ESL/ELD Program Coordinator, Toronto DSB Numeracy Consultant Mary Bourassa Ottawa–Carleton DSB STSE Consultant Joanne Nazir Ontario Institute for Studies in Education (OISE), University of Toronto NEL 8160_FM_pi-vii.indd 3 Safety Consultants Jim Agban Past Chair, Science Teachers’ Association of Ontario (STAO) Safety Committee Martin Gabber Formerly of Durham DSB Peter Cudmore Chair, Science Teachers’ Association of Ontario (STAO) Safety Committee Renfrew County District School Board Christopher T. Howes Durham DSB Technology/ICT Consultant Luciano Lista Coordinator, eLearning and Digital Resources, Toronto Catholic DSB Aboriginal Education Consultant Karen Iverson Karen Iverson Consulting Advisory Panel and Teacher Reviewers Anca Bogorin Avon Maitland DSB Racquel Carlow Dufferin–Peel Catholic DSB Andrew Cherkas York Region DSB Charles J. Cohen Tanenbaum Community Hebrew Academy of Toronto Matthew Di Fiore Dufferin–Peel Catholic DSB Naomi Epstein Tanenbaum Community Hebrew Academy of Toronto Shawna Hopkins Niagara DSB Patricia Jones Ottawa–Carleton DSB Roche Kelly Durham DSB Ron Macnaughton Peel DSB Christopher Meyer Toronto DSB Dermot O’Hara Toronto Catholic DSB Steve Pfisterer Rockway Mennonite Collegiate Robert Pickett Catholic DSB of Eastern Ontario Ron Ricci Greater Essex County DSB Henri van Bemmel Toronto DSB Rob Vucic Peel DSB Glenn Wagner Upper Grand DSB Victoria Wraight Kawartha Pine Ridge Board of Education Jim Young Limestone DSB Dave Fish Waterloo Region DSB Reviewers iii 4/12/12 10:04 AM Contents Unit 1 Dynamics . . . . . . . . . . . . . . . . 2 Focus on STSE: Applying the Dynamics of Motion. . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Are You Ready?. . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Chapter 1: Kinematics. . . . . . . . . . . . . . . . . . . 6 1.1 Motion and Motion Graphs. . . . . . . . . . . . . . . . . . . . 8 1.2 Equations of Motion . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.3 Displacement in Two Dimensions. . . . . . . . . . . . . . 22 1.4 Velocity and Acceleration in Two Dimensions. . . 30 1.5 Projectile Motion. . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 1.6 Relative Motion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Investigation 1.5.1: Investigating Projectile Motion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Chapter 1 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Chapter 1 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Chapter 1 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Chapter 2: Dynamics . . . . . . . . . . . . . . . . . . 60 2.1 2.2 2.3 2.4 2.5 Forces and Free-Body Diagrams. . . . . . . . . . . . . . . 62 Newton’s Laws of Motion . . . . . . . . . . . . . . . . . . . . . 70 Applying Newton’s Laws of Motion. . . . . . . . . . . . . 77 Forces of Friction. . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 Explore an Application in Dynamics: Linear Actuators. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 2.6 Physics Journal: The Physics of Downhill Skiing. . . . . . . . . . . . . . . . . . . . . . . . . . . 93 Investigation 2.3.1: Static Equilibrium of Forces. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 Investigation 2.4.1: Inclined Plane and Friction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Investigation 2.4.2: Motion and Pulleys. . . . . . . . . . . . . . 97 Chapter 2 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 Chapter 2 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Chapter 2 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 iv Contents 8160_FM_pi-vii.indd 4 Chapter 3: Uniform Circular Motion. . . . . . . 106 3.1 Inertial and Non-inertial Frames of Reference. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 Centripetal Acceleration. . . . . . . . . . . . . . . . . . . . 3.3 Centripetal Force. . . . . . . . . . . . . . . . . . . . . . . . . . 3.4 Rotating Frames of Reference. . . . . . . . . . . . . . . . 3.5 Physics Journal: The Physics of Roller Coasters. . . . . . . . . . . . . . . . . . . . . . . . . . 3.6 Explore an Issue in Dynamics: Improvements in Athletic Technology. . . . . . . . Investigation 3.3.1: Simulating Uniform Circular Motion. . . . . . . . . . . . . . . . . . . . . . . . . . . Investigation 3.3.2: Analyzing Uniform Circular Motion. . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 3 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 3 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 3 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 114 120 125 131 133 135 136 138 139 140 Unit 1 Task: A New Extreme Sport . . . . . . . . . . 146 Unit 1 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . 148 Unit 1 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 Unit 2 Energy and Momentum. . . 158 Focus on STSE: Innovations in Energy Technology . . . . . . . . . . . . . . . 159 Are You Ready?. . . . . . . . . . . . . . . . . . . . . . . . . . 160 Chapter 4: Work and Energy. . . . . . . . . . . . 162 4.1 4.2 4.3 4.4 Work Done by a Constant Force. . . . . . . . . . . . . Kinetic Energy and the Work-Energy Theorem. . . . . . . . . . . . . . . . . . Gravitational Potential Energy. . . . . . . . . . . . . . . Explore an Issue in Energy Generation: Gravitational Potential Energy and Hydroelectricity . . . . . . . . . . . . . . . . . . . . . . . 164 171 177 182 NEL 4/12/12 10:04 AM 4.5 4.6 The Law of Conservation of Energy . . . . . . . . . . Elastic Potential Energy and Simple Harmonic Motion. . . . . . . . . . . . . . . 4.7 Springs and Conservation of Energy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Investigation 4.2.1: The Work–Energy Theorem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Investigation 4.5.1: Energy and Pulleys . . . . . . . . . . . . Investigation 4.7.1: Energy and Springs. . . . . . . . . . . . Chapter 4 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 4 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 4 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 192 201 209 210 211 212 213 214 Chapter 5: Momentum and Collisions. . . . . 220 5.1 5.2 Momentum and Impulse. . . . . . . . . . . . . . . . . . . . Conservation of Momentum in One Dimension. . . . . . . . . . . . . . . . . . . . . . . . . 5.3 Collisions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.4 Head-on Elastic Collisions. . . . . . . . . . . . . . . . . . 5.5 Collisions in Two Dimensions: Glancing Collisions . . . . . . . . . . . . . . . . . . . . . . . . 5.6 Explore Applications of Momentum: Staying Safe at Every Speed. . . . . . . . . . . . . . . . . . 5.7 Physics Journal: Momentum and the Neutrino . . . . . . . . . . . . . . . . . . . . . . . . . . Investigation 5.2.1: Conservation of Momentum in One Dimension. . . . . . . . . . . . Investigation 5.4.1: Head-on Elastic Collisions. . . . . . Investigation 5.5.1: Conservation of Momentum in Two Dimensions. . . . . . . . . . . Chapter 5 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 5 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 5 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222 8160_FM_pi-vii.indd 5 Focus on STSE: The International Space Station. . . . . . . . . . . . . . . . . . . . . . 283 Are You Ready?. . . . . . . . . . . . . . . . . . . . . . . . . . 284 Chapter 6: Gravitational Fields . . . . . . . . . . 286 6.1 6.2 6.3 6.4 Newtonian Gravitation . . . . . . . . . . . . . . . . . . . . . Orbits. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Explore Applications of Gravitational Fields: Satellites. . . . . . . . . . . Physics Journal: General Relativity. . . . . . . . . . . 288 297 304 306 Investigation 6.1.1: Universal Gravitation . . . . . . . . . . 308 Investigation 6.2.1: Design a Solar System. . . . . . . . . . 309 Chapter 6 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . 310 228 233 240 249 Chapter 6 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 Chapter 6 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312 Chapter 7: Electric Fields . . . . . . . . . . . . . . 318 7.1 Properties of Electric Charge. . . . . . . . . . . . . . . . 320 7.2 Coulomb’s Law. . . . . . . . . . . . . . . . . . . . . . . . . . . . 327 7.3 Electric Fields. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 334 256 7.4 Potential Difference and Electric Potential. . . . . . . . . . . . . . . . . . . . . . . 346 258 259 7.5 Electric Potential and Electric Potential Energy Due to Point Charges. . . . . . . . . . . . . . . . 355 7.6 The Millikan Oil Drop Experiment. . . . . . . . . . . 362 254 260 262 263 264 Unit 2 Task: Applications of Energy and Momentum in Engineering Design. . . . . 270 Unit 2 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . 272 Unit 2 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . 274 NEL Unit 3 Gravitational, Electric, and Magnetic Fields. . . . . . . . . . . . 282 Investigation 7.2.1: Coulomb’s Law. . . . . . . . . . . . . . . . 366 Investigation 7.6.1: The Millikan Experiment. . . . . . . 367 Chapter 7 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . 368 Chapter 7 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . 369 Chapter 7 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 370 Contents v 4/12/12 10:04 AM Chapter 8: Magnetic Fields. . . . . . . . . . . . . 376 8.1 Magnets and Electromagnets. . . . . . . . . . . . . . . . 378 8.2 Magnetic Force on Moving Charges. . . . . . . . . . 386 8.3 Magnetic Force on a Current-Carrying Conductor. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392 8.4 Motion of Charged Particles in Magnetic Fields. . . . . . . . . . . . . . . . . . . . . . . . . . . . 397 8.5 Applications of Electric and Magnetic Fields. . . . . . . . . . . . . . . . . . . . . . . . . . . . 405 8.6 Explore an Application in Electromagnetic Fields: Particle Accelerators. . . . . . . . . . . . . . . . . . . . . . . . 410 Investigation 8.2.1: Observing the Magnetic Force on a Moving Charge. . . . . . . . . . . . . . . . . . 412 Chapter 8 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . 414 Chapter 8 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . 415 Chapter 8 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 416 Unit 3 Task: Field Technology in Use. . . . . . . . .422 Unit 3 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . 424 Unit 3 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . 426 Unit 4 The Wave Nature of Light . . . . . . . . . . . . . . . . . . . . . . . 434 Focus on STSE: Light and Interference . . . . . . 435 Are You Ready?. . . . . . . . . . . . . . . . . . . . . . . . . . 436 Chapter 9: Waves and Light. . . . . . . . . . . . 438 9.1 9.2 9.3 9.4 9.5 9.6 Properties of Waves and Light. . . . . . . . . . . . . . . Refraction and Total Internal Reflection . . . . . . Diffraction and Interference of Water Waves. . . . . . . . . . . . . . . . . . . . . . . . . . . . Light: Wave or Particle?. . . . . . . . . . . . . . . . . . . . . Interference of Light Waves: Young’s Double-Slit Experiment . . . . . . . . . . . . . Explore an Issue in Light-Based Technology: Should Governments Restrict Network Access? . . . . . . . . . . . . . . . . . . . vi Contents 8160_FM_pi-vii.indd 6 440 444 459 470 Investigation 9.3.1: Properties of Water Waves. . . . . . 487 Investigation 9.3.2: Interference of Waves in Two Dimensions . . . . . . . . . . . . . . . . . . . . . . . . Investigation 9.5.1: Young’s Double-Slit Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 9 Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 9 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 9 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 488 490 492 493 494 Chapter 10: Applications of the Wave Nature of Light. . . . . . . . . . . . . . . . . . . . . . . 500 10.1 10.2 10.3 10.4 10.5 10.6 Interference in Thin Films . . . . . . . . . . . . . . . . . . Single-Slit Diffraction . . . . . . . . . . . . . . . . . . . . . . The Diffraction Grating. . . . . . . . . . . . . . . . . . . . . Electromagnetic Radiation. . . . . . . . . . . . . . . . . . Polarization of Light. . . . . . . . . . . . . . . . . . . . . . . . Explore Applications of Light Technology: Electromagnetic Waves. . . . . . . . . 10.7 Physics Journal: Light Nanotechnology and Counterfeit Prevention . . . . . . . . . . . . . . . . . . . . . 10.8 Explore an Issue in Light Technology: Global Positioning Systems. . . . . . . . . . . . . . . . . . Investigation 10.1.1: Investigating Interference Using Air Wedges. . . . . . . . . . . . . . . . . . . . . . . . . . Investigation 10.2.1: Diffraction of Light Using a Single Slit. . . . . . . . . . . . . . . . . . . . . . . . . . Investigation 10.3.1: CD and DVD Storage Capacity. . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 10 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 10 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 10 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 502 512 520 526 532 538 540 542 544 545 547 548 549 550 Unit 4 Task: Optical Pattern Analysis . . . . . . . . 556 Unit 4 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . 558 Unit 4 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . 560 477 485 NEL 4/12/12 10:04 AM Unit 5 Revolutions in Modern Physics: Quantum Mechanics and Special Relativity. . . . . . . . . . . 568 Focus on STSE: Particle Acceleration and the Large Hadron Collider. . . . . . . . 569 Are You Ready?. . . . . . . . . . . . . . . . . . . . . . . . . . 570 Chapter 11: Relativity . . . . . . . . . . . . . . . . . 572 11.1 11.2 11.3 The Special Theory of Relativity. . . . . . . . . . . . . . Time Dilation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . Length Contraction, Simultaneity, and Relativistic Momentum. . . . . . . . . . . . . . . . . 11.4 Mass–Energy Equivalence. . . . . . . . . . . . . . . . . . . Investigation 11.2.1: Analyzing Relativistic Data. . . . Chapter 11 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 11 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 11 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574 580 588 598 604 606 607 608 Chapter 12: Quantum Mechanics. . . . . . . . 614 12.1 12.2 12.3 12.4 NEL 8160_FM_pi-vii.indd 7 Introducing Quantum Theory. . . . . . . . . . . . . . . Photons and the Quantum Theory of Light. . . . Wave Properties of Classical Particles. . . . . . . . . Explore an Application in Quantum Mechanics: Medical Diagnostic Tools. . . . . . . 616 620 632 640 12.5 Physics Journal: Raymond Laflamme and Quantum Information Theory. . . . . . . . . . . . . . . 12.6 The Standard Model of Elementary Particles. . . Investigation 12.2.1: The Photoelectric Effect. . . . . . . Investigation 12.2.2: Determining Planck’s Constant. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Investigation 12.6.1: Laser Simulation. . . . . . . . . . . . . Chapter 12 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 12 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter 12 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 642 644 654 656 657 658 659 660 Unit 5 Task: The Large Hadron Collider: The World’s Biggest Microscope. . . . . . 666 Unit 5 Self-Quiz. . . . . . . . . . . . . . . . . . . . . . . . . . 668 Unit 5 Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . 670 Appendix A Skills Handbook . . . . . . . . . . . . . 679 Appendix B Reference. . . . . . . . . . . . . . . . . . . 708 Appendix C Answers. . . . . . . . . . . . . . . . . . . . 714 Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 723 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 730 Credits. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxx Contents vii 4/12/12 10:04 AM