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Engenharia Física ·

Física

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MECHANICS Volume 1, Second Edition\nBerkeley Physics Course Table of Values\n\nValue and Units\tItem\nGeneral:\n57.3° 57' 18\"\t= 1 radian\trad\n3.44 × 10^1 minutes (of arc)\t= 1 radian\n2.06 × 10^1 seconds (of arc)\t= 1 radian\n1.70 × 10^-2 rad\t= 1 degree\nd\n2.9 × 10^-3 rad\t= 1 minute (of arc)\n1.45 × 10^-4 rad\t= 1 second (of arc)\n1.609 × 10^2 cm\t= 1 statute mile\n10^-4 cm\t= 1 erg\n1 microvolt (micro)\t= 1 microvolt (micron)\n1 dyne = 1 erg/cm\t= 1 statvolt\n\n2.99792 × 10^10 cm/s\tSpeed of light in vacuum\tc\n≈ 9.80 cm s^-2\tAcceleration of gravity at earth's surface\tg\n6.674 × 10^-11 dyne-cm^2/g^2\tGravitational constant\tG\n6.674 × 10^-8 Nm^2/kg^2\tGravitational constant\n1 dyne\t= 1 g·cm/s²\n1 newton\t= 1 kg·m/s²\n\n\nAstronomical:\n3.084 × 10^18 cm\t= 1 parsec\n1 light year\t= 1 astronomical unit (= radius of earth's orbit)\nNumber of nucleons\nNumber of galaxies\nSpeed of recession of nebulae\nDiameter\nNumber of stars\nMass\nRadius\n Table of Val\n\nValue and Units\tItem\tAbbreviation:\nGas:\n22.4 × 10^3 cm^3/mol\tMolar volume at STP\tV_0\n2.69 × 10^19 cm^-2\tLoschmidt's number\tN_0/V_0\n6.0222 × 10^23 mol^-1\tAvogadro's number\tN_0\n3.314 × 10^-3 erg mol^-1 deg^-1\tGas constant\tR\n1.381 × 10^-16 erg/K\tBoltzmann's constant\tk/R\n1 atm = 1.013 × 10^6 dyne/cm^2\tAtmospheric pressure:\n≈ 10 cm\tMean free path at STP\t\n3.32 × 10^4 cm/s\tSpeed of sound in air at STP\t\n\nAtomic:\n6.626 × 10^-27 erg s\tPlanck's constant\th\n1.054 × 10^-27 erg s\tPlanck's constant/2\th/2\n1.36 × 10^-18 volts\tEnergy associated with 1 Rydberg\tRy\n1.6022 × 10^-10 erg\tEnergy associated with 1 electron volt\tev\n9.1095 × 10^-28 g\tElectron rest mass\tm_e\n0.93828 × 10^-2 eV\tEnergy equivalent to proton rest mass\tE_p\n0.51100 × 10^-4 eV\tEnergy equivalent to electron rest mass\tm_e c^2\n0.93100 × 10^-2 eV\tEnergy equivalent to 1 atomic mass unit\tm_u\n1836\tProton mass/electron mass\tm_p/m_e\n2.818 × 10^-18 cm\tClassical radius of the electron\tr_e = e^2/m_e c^2\n1.60219 × 10^-19 C\tCharge on proton\te\n2.423 × 10^-11 cm\tElectron Compton wavelength\tλ_c = h/m_e c Mechanics Charles Kittel\nProfessor of Physics\nUniversity of California\nBerkeley\n\nWalter D. Knight\nProfessor of Physics\nUniversity of California\nBerkeley\n\nMalvin A. Ruderman\nProfessor of Physics\nNew York University\n\nRevised by\n\nA. Carl Helmholtz\nProfessor of Physics\nUniversity of California\nBerkeley\n\nBurton J. Moyer\nDean of the College of Liberal Arts\nUniversity of Oregon\nEugene\n\nMcGRAW-HILL BOOK COMPANY.\nNew York St. Louis San Francisco Düsseldorf Johannesburg Kuala Lumpur London Mexico Montreal New Delhi Panama Rio de Janeiro Singapore Sydney Toronto Mechanics\n\nBerkeley Physics Course Volume 1, Second Edition This book was set in Laurel by York Graphic Services, Inc. The editors were Jack L. Farmer, Eva Marc Srock, and Ida Abrams Wolfson. The designer was Michael A. Rogondino, and the production supervisor was Adam Jacobs. The drawings were done by Ayka Art. The printer was Halliday Lithograph Corporation.\n\nFront cover: NGC 4594 spiral galaxy in Virgo, seen on edge, 200-in photograph. The dark band is due to absorption by a ring of matter surrounding the bright central core. (Photograph courtesy of the Hale Observatories.)\n\nBack cover: Hydrogens bubble chamber picture of the production of an anti-3 in the reaction K + p. (Photograph courtesy of the Lawrence Berkeley Laboratory.)\n\nMECHANICS\n\nCopyright © 1973 by McGraw-Hill, Inc. All rights reserved. Printed in the United States of America. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher.\n\nLibrary of Congress Cataloging in Publication Data\n\nKittel, Charles\nMechanics\n(Berkeley physics course; v. 1)\n 1. Mechanics I. Knight, Walter D., joint author. II. Ruderman, Malvin A., joint author. III. Moyer, Burton J.\nQC 7 B37 vol. VI Series\n530'.08'72' 72-7444\n\nISBN 0-07-048480-X Foreword ............................................................................................ vi\nPreface to the Second Edition of Volume 1 ................................... vii\nOriginal Preface to the Berkeley Physics Course .......................... ix\nTeaching Notes .............................................................................. xvi\nNote to the Student ....................................................................... xvii\nNotation .............................................................................................. xvii\n\n1 Introduction ....................................................................................... 2\n2 Vectors .............................................................................................. 26\n3 Newton's Laws of Motion ................................................................ 56\n4 Frames of Reference: Galilean Transformation ........................ 100\n5 Conservation of Energy ................................................................ 134\n6 Conservation of Linear and Angular Momentum .................... 172\n7 Harmonic Oscillator: Properties and Examples ....................... 200\n8 Elementary Dynamics of Rigid Bodies ...................................... 238\n9 Inverse-square-law Force ............................................................... 268\n10 The Speed of Light ..................................................................... 298\n11 Special Relativity: The Lorentz Transformation .................... 317\n12 Relativistic Dynamics: Momentum and Energy ...................... 348\n13 Problems in Relativistic Dynamics .......................................... 372\n14 Principle of Equivalence .............................................................. 396\n\nAppendix .......................................................................................... 410\nFilm Lists ........................................................................................... 411\nIndex .................................................................................................. 415 One of the urgent problems confronting universities today is that of under-graduate teaching. As research has become more and more absorbing to the faculty, a \"subtle discounting of the teaching process\" (to quote philosopher Sidney Hook) has too often come into operation. Additionally, in many fields the changing content and structure of knowledge growing out of research have created great need for curriculum revision. This is particularly true, of course, in the physical sciences.\n\nIt is a pleasure, therefore, to contribute a foreword to the Berkeley Physics Course and Laboratory, which is a major curriculum improvement program at the undergraduate level designed to reflect the new directions in physics of the last hundred years. The course has enlisted the efforts of many physicists working in forefront areas of research and has been fortunate to have the support of the National Science Foundation through a grant to Educational Services Incorporated. It has been tested successfully in lower division physics classes at the University of California, Berkeley, over a period of several semesters. The course represents a marked educational advance, and I hope it will be very widely used.\n\nThe University of California is happy to act as host to the inter-university group responsible for developing this new course and laboratory and pleased that a number of Berkeley students volunteered to help in testing the course. The financial support of the National Science Foundation and the cooperation of Educational Services Incorporated are much appreciated. Most gratifying of all, perhaps, is the lively interest in undergraduate teaching evinced by the substantial number of University of California faculty members participating in the curriculum improvement program. The scholar-teacher tradition is an old and honorable one; the work devoted to this new physics course and laboratory shows that the tradition is still honored at the University of California.\n\nClark Kerr Foreword