Conservation Laws Benjamin Crowell Book 2 in the Light and Matter series of introductory physics textbooks www.lightandmatter.com Conservation Laws The Light and Matter series of introductory physics textbooks: 1 Newtonian Physics 2 Conservation Laws 3 Vibrations and Waves 4 Electricity and Magnetism 5 Optics 6 The Modern Revolution in Physics Conservation Laws Benjamin Crowell www.lightandmatter.com Light and Matter www.lightandmatter.com © 1998 by Benjamin Crowell All rights reserved. Edition 2.0 — 2000 rev. 2000-08-13 To Uri Haber-Schaim, John Dodge, Robert Gardner, and Edward Shore. Brief Contents 1 Conservation of Energy 13 2 Simplifying the Energy Zoo 27 3 Work: The Transfer of Mechanical Energy 39 4 Conservation of Momentum 61 5 Conservation of Angular Momentum 85 Solutions to Selected Problems 109 Glossary 111 Index 113 9 Contents 1 Conservation of Energy 13 1.1 The Search for a Perpetual Motion Machine.................................................. 13 1.2 Energy ................................................. 14 1.3 A Numerical Scale of Energy............... 16 1.4 Kinetic Energy ..................................... 20 1.5 Power .................................................. 23 Summary...................................................... 25 3 Work: The Transfer of Mechanical Energy 39 3.1 Work: The Transfer of Mechanical Energy....................... 39 3.2 Work in Three Dimensions .................. 45 3.3 Varying Force ...................................... 47 3.4 (cid:242) Applications of Calculus .................... 49 3.5 Work and Potential Energy.................. 50 2 Simplifying the 3.6* When Does Work Equal Force Times Distance? ................... 53 Energy Zoo 27 3.7* The Dot Product................................. 55 2.1 Heat is Kinetic Energy ......................... 28 Summary...................................................... 56 2.2 Potential Energy: Energy Homework Problems.................................... 57 of Distance or Closeness ................ 30 2.3 All Energy is Potential or Kinetic.......... 34 Summary...................................................... 36 Homework Problems.................................... 37 10