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Conservation laws PDF

132 Pages·1998·1.482 MB·English
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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 Fullerton, California www.lightandmatter.com © 1998-2002 by Benjamin Crowell All rights reserved. Edition 2.1 rev. 2002-07-30 ISBN 0-9704670-2-8 To Uri Haber-Schaim, John Dodge, Robert Gardner, and Edward Shore. Brief Contents 1 Conservation of Energy .............................. 13 2 Simplifying the Energy Zoo ........................ 29 3 Work: The Transfer of Mechanical Energy 41 4 Conservation of Momentum ....................... 63 5 Conservation of Angular Momentum......... 89 Exercises ..........................................................115 Solutions to Selected Problems .....................117 Glossary ............................................................119 Index ................................................................. 121 Useful Data ...................................................... 132 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 Homework Problems.................................... 26 3 Work: The Transfer of Mechanical Energy 41 3.1 Work: The Transfer of Mechanical Energy 41 3.2 Work in Three Dimensions .................. 47 3.3 Varying Force ...................................... 49 3.4 (cid:242) Applications of Calculus .................... 51 3.5 Work and Potential Energy.................. 52 2 Simplifying the Energy 3.6* When Does Work Equal Force Times Zoo 29 Distance?................................................ 54 3.7* The Dot Product................................. 56 2.1 Heat is Kinetic Energy ......................... 30 Summary...................................................... 57 2.2 Potential Energy: Energy of Distance or Homework Problems.................................... 58 Closeness............................................... 32 2.3 All Energy is Potential or Kinetic.......... 36 Summary...................................................... 38 Homework Problems.................................... 39 10

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