...Chapter 2 Galileo’s Great Discovery: How Things Fall Galileo Galilei (1564–1642), the famous Italian mathematician at the leading edge of the scientific revolution that was to sweep Europe, was curious about motion. He was an experimentalist who for the first time had the insight and talent to link theory with experiment. He rolled balls down an inclined plane in order to see how things fell toward the Earth. He discovered in this way that objects of any weight fell toward the Earth at the same rate – that they had a uniform acceleration. He surmised that if they fell in a vacuum, where there was no air resistance to slow some objects more than others, even a feather and a cannon ball would descend at the same rate and reach the ground at the same time. He also explored the motion of pendulums and other phenomena. He is perhaps most famous for his 1610 telescopic discoveries of the moving moons of Jupiter, the phases of Venus, and the craters of the moon, all of which convinced him, against the ages-old wisdom of Aristotle and of the Catholic Church, of the rightness of the Copernican heliocentric view of the solar system. In his investigations of motion, Galileo was the first clearly to understand that the forces acting upon objects could be broken into independent components; that a thrown stone had a force pulling it down as well as the force throwing it horizontally outward. These insights would be of great use to Isaac Newton, born the year Galileo died, in devising the...
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...Motion of Freely Falling Objects Objectives: * To study the motion of free falling objects * To determine the acceleration due to gravity, g. * To derive quantities from the slope and intercept of graphs * To determine if the motion of a falling object changes by varying its mass Theory: The free fall is a known example or the most common example of a uniformly accelerated movement, with an acceleration a = -9.8m/s2 (vertical axis pointing vertically upward). If you choose the vertical axis pointing vertically downward, the acceleration is taken as + 9.8m/s2. The kinematic equations for a rectilinear movement under the acceleration of gravity are the same as any movement with constant acceleration: (1) v = vi - gt velocity as function of time. (2) y - yi = ½(vi + v)t displacement as function of time (3) y - yi = vit - ½gt2 displacement as function of time (4) v2 = vi2 -2g(x - xi) velocity as function of displacement The sub index i denotes initial quantities, g the gravity acceleration and t, the time. But for this type of motion, the displacement of the object as a function of time is described mathematically as: (5) ∆y=Vot + ½gt2 where Vo is the initial velocity of the object. If object if just drop velocity, Equation (5) becomes (6) ) ∆y=½gt2 Methodology Procedure: * A digital balance was used to measure the masses of the small and big steel balls. ...
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...(ebook – PDF – Science) IMPORTANT NOTE (please paste this note on the top of all ebooks): Please use the following classifications in the names of ebooks that you input or currently have on your hard drive: 1.) Ebooks are Adobe Acrobat PDF files or Tomeraider type only, do not name txt files ebooks, no matter how long your lines are. 2.) In parenthesis within the name, type (ebook – Type - Class) 3.) In the “Type” space put the format, either PDF or TOMERAIDER. In the “Class” space, put the classification of the book, classifications are: Biography, Children, Fiction, Food, Games, Government, Health, Internet, Martial-Arts, Mathematics, Other, Programming, Reference, Religious, Science, Sci-Fi, Sex, and Software. This new standard is accepted by Fink Crew (who do most of the conversions from plain text to PDF) and MacWarez (One of the largest groups currently scanning ebooks). It helps people searching for these files to find them more easily. Relativity: The Special and General Theory Albert Einstein Relativity: The Special and General Theory Albert Einstein Relativity The Special and General Theory Written: 1916 (this revised edition: 1924) Source: Relativity: The Special and General Theory © 1920 Publisher: Methuen & Co Ltd First Published: December, 1916 Translated: Robert W. Lawson (Authorised translation) Transcription/Markup: Brian Basgen Convertion to PDF: Sjoerd Langkemper Offline Version: Einstein Reference Archive (marxists.org) 1999 Preface Part I: The Special...
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...Unit 1 Exam Review Modified True/False ____ 1. Two siblings leave their house and walk to the same school taking different routes. One of the routes is farther, but the siblings take the same time to reach the school. It can be said that the two siblings have the same average velocity but different average speeds. _________________________ ____ 2. For the following quantities, these are considered to be vectors: displacement, acceleration. _________________________ ____ 3. During an interval of uniform acceleration, the average velocity over the entire interval is equivalent to the instantaneous speed at the midpoint of the interval. ___________________________________ ____ 4. A rubber ball changes velocity from 6.5 m/s [down] to 6.5 m/s [up] in a time of 2.0 s. Its average acceleration during this period can be considered to be zero. _________________________ ____ 5. The acceleration due to gravity on Earth varies according to both altitude and latitude. _________________________ ____ 6. To achieve maximum range across a horizontal surface, the angle at which a projectile must be launched is 90°. _________________________ ____ 7. Forces of tension always act vertically upward. ______________________________ ____ 8. When forces acting on an object are in equilibrium, the object can still be moving. _________________________ ____ 9. The same forces act on two objects having different masses. The more massive object will experience the greater acceleration provided the...
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...SENIOR SECONDARY COURSE PHYSICS 1 (CORE MODULES) Coordinators Dr. Oum Prakash Sharma Sh. R.S. Dass NATIONAL INSTITUTE OF OPEN SCHOOLING A-25, INSTITUTIONAL AREA, SECTOR-62, NOIDA-201301 (UP) COURSE DESIGN COMMITTEE CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Maidan Garhi, Delhi MEMBERS Prof. A.R. Verma Former Director, National Physical Laboratory, Delhi, 160, Deepali Enclave Pitampura, Delhi-34 Dr. Naresh Kumar Reader (Rtd.) Deptt. of Physics Hindu College, D.U. Dr. Oum Prakash Sharma Asstt. Director (Academic) NIOS, Delhi Prof. L.S. Kothari Prof. of Physics (Retd.) Delhi University 71, Vaishali, Delhi-11008 Dr. Vajayshree Prof. of Physics IGNOU, Maidan Garhi Delhi Sh. R.S. Dass Vice Principal (Rtd.) BRMVB, Sr. Sec. School Lajpat Nagar, New Delhi-110024 Dr. G.S. Singh Prof. of Physics IIT Roorkee Sh. K.S. Upadhyaya Principal Jawahar Navodaya Vidyalaya Rohilla Mohammadabad (U.P.) Dr. V.B. Bhatia Prof. of Physics (Retd.) Delhi University 215, Sector-21, Faridabad COURSE DEVELOPMENT TEAM CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Delhi MEMBERS Prof. V.B. Bhatia 215, Sector-21, Faridabad Prof. B.B. Tripathi Prof. of Physics (Retd.), IIT Delhi 9-A, Awadhpuri, Sarvodaya Nagar Lucknow-226016 Sh. K.S. Upadhyaya Principal Navodaya Vidyalaya Rohilla Mohammadabad, (U.P.) Dr. V.P. Shrivastava Reader (Physics) D.E.S.M., NCERT, Delhi EDITORS TEAM CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Delhi MEMBERS Prof. B.B. Tripathi Prof...
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...Forces and Motion For Students of Baldwin Wallace College Spring Semester 2011 Monday – Wednesday 10:00 – 11:15 am Room 139 Wilker Faculty Richard Heckathorn The materials for this course were organized and edited by Richard Heckathorn using materials from a program called Operation Physics and includes materials developed by him. The original OPERATION PHYSICS activity sequence to improve physics teaching and learning in upper elementary and middle schools was funded by the National Science Foundation. Original Material Copyright 1992 by American Institute of Physics Materials edited and photoduplicated with permission. FORCES & MOTION INTRODUCTION WORKSHOP LEADER’S TOPIC INFORMATION INTRODUCTION TO FORCES & MOTION An understanding of force and motion is fundamental to the study of almost all other physics-related topics. Yet it is a topic often overlooked or only cursorily introduced in elementary and middle school science, even though it is a topic typically identified for inclusion in the curriculum for these grades. A primary reason for this is that many teachers do not feel comfortable about their own understanding of the topic. Consequently, this may be the most needed of all of the OPERATION PHYSICS workshops. This workshop leader’s notebook is divided into two parts: PART ONE Motion Part One begins by introducing participants to the concepts of space and time....
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...SCHAUM'S OUTLINE OF THEORY AND PROBLEMS OF COLLEGE PHYSICS Ninth Edition . FREDERICK J. BUECHE, Ph.D. Distinguished Professor at Large University of Dayton EUGENE HECHT, Ph.D. Professor of Physics Adelphi University . SCHAUM'S OUTLINE SERIES McGRAW-HILL New York St. Louis San Francisco Auckland Bogota Caracas Lisbon London Madrid Mexico City Milan Montreal New Delhi San Juan Singapore Sydney Tokyo Toronto McGraw-Hill abc Copyright © 1997, 1989, 1979, 1961, 1942, 1940, 1939, 1936 by The McGraw-Hill Companies, Inc All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-1367497 The material in this eBook also appears in the print version of this title: 0-07-008941-8. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. For more...
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...1 UNIT 1 Living Things and Their Environment DRAFT April 29, 2014 Photo Credit: http://www.flyingfourchette.com/2013/05/25/around-ubud/ 2 UNIT 1: Living Things and Their Environment Introduction At this point, students have already learned in Grade 8 how the body breaks down food into forms that can be absorbed through the digestive system and then transported to each cell, which was on the other hand discussed in Grade 7 to be the basic unit of life. The learners have also discovered that cells divide to produce new cells by mitosis and meiosis. They have understood that meiosis is an early step in sexual reproduction that leads to variation. Students have been introduced to genetics to be able to appreciate evolutionary differences among species. Learners have also found out that biodiversity is the collective variety of species living in an ecosystem, and by studying the ecosystem; they have come across the various cycling of materials and energy transformation. DRAFT April 29, 2014 All modules in Grade 9 Unit 1-Living Things and Their Environment present student-centered activities that will allow the learners to discover and develop concepts that they may consider useful to their everyday life. At the end of each lesson, key concepts are provided for the students to grasp ideas and information that they will remember even after they have left school. Instructional activities are designed to build up the students’ knowledge, understanding, skills, and ability to transfer...
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...Physics PHYSICS FORMULAE AND PRINCIPLES Fundamental quantities and SI units The standard units were set up by the international system of units, SI The fundamental quantities, there symbols and there SI units a listed below Quantity symbol SI unit & unit symbol Length l metre (m) Mass m kilogram (k g) Time t second (s) Temperature T Kelvin (k) Current I Ampere (A) Amt. substance mol mole 6.02 x 10 23 (molecules) Luminous intensity - candela (c d) MULTIPLES AND SUBMULTIPLES Multiples are larger than the base units and submultiples are smaller than the base units Multiples Symbol Prefix Meaning Example Deca d 10 1 0 Decameter Hecto h 102 100 Hectometer ...
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...Applications of Newton’s Laws of Motion in One Dimension 3 Newton’s laws of motion are a very powerful tool that allows the study of a vast array of problems dealing with the motion of all the objects of our daily lives. Valid over an enormous range of distances, speeds, and masses, Newton’s laws only lose their predictive power in the microworld or when objects travel at extremely high speeds, much higher than we are capable of propelling ordinary objects (except in particle accelerators). In this chapter we continue our study of one-dimensional motion in three “case studies” of interesting example applications. The goal here is to see the power of Newton’s laws as well as to learn some interesting ideas about various types of motion along a single direction. We gain some valuable insights and tools so that when we generalize to study the motion of objects in the real three-dimensional world we are well prepared for that undertaking. The case studies in this chapter include motion when the net force is constant (we study the local gravitational force near the Earth), one-dimensional motion of an object in a fluid (where we show that there are frictional forces that vary with time), and the oscillatory motion of an object attached to a spring. After learning something about springs, we next consider the deformation of an elastic solid and the phenomenon of viscoelasticity. This is a topic of special interest in the study of structural biomolecules such as bone and blood...
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...Date of Sale Seal of Bank / Institution with Address Initial of authorized sale clerk CONTENTS Sl. No. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. Appendix I. II. III. IV . V . VI. VII. VIII. IX. List of Institutions participated in CCB(AIEEE) -2010-Counseling .......................................................... 007 Nomenclature of Disciplines in Degree Engineering & Technology/ Architecture/Town Planning (Approved by AICTE) ............................................................................... 009 Syllabus .................................................................................................................................................... 010 Addresses of selling centers from where Application Forms can be procured against Cash Payment only ....................................................................................................... 019 Instructions for completing and sending the Application Form By Post ................................................. 024 List of Cities where All India Engineering/Architecture Entrance Examination will be conducted ................................................................................................................. 027 List of cities where on line examination will be conducted ...................................................................... 029 A. Procedure to be followed in conduct of AIEEE ...............................................................................
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...or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar,...
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...chemical hydrodynamics Abstract Sonoluminescence, the transduction of sound into light, is a phenomenon that pushes fluid mechanics beyond its limit. An initial state with long wavelength and low Mach number, such as is realized for a gas bubble driven by an audible sound field, spontaneously focuses the energy density so as to generate supersonic motion and a different phase of matter, from which are then emitted picosecond flashes of broad-band UV light. Although the most rational picture of sonoluminescence involves the creation of a ‘‘cold’’ dense plasma by an imploding shock wave, neither the imploding shock nor the plasma has been directly observed. Attempts to attack sonoluminescence from the perspective of continuum mechanics have led to interesting issues related to bubble shape oscillations, shock shape instabilities, and shock propagation through nonideal media, and chemical hydrodynamics. The limits of energy focusing that can be achieved from collapsing bubbles in the far-off equilibrium motion of fluids have yet to be determined either experimentally or theoretically. INTRODUCTION: LIGHT FROM FAR-OFF EQUILIBRIUM FLUID MOTION Sonoluminescence (SL) is a unique phenomenon in fluid mechanics because it evolves out of an initial state within the range of parameters described by the...
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...to support my personal teaching activities at Duke University, in particular teaching its Physics 141/142, 151/152, or 161/162 series (Introductory Physics for life science majors, engineers, or potential physics majors, respectively). It is freely available in its entirety in a downloadable PDF form or to be read online at: http://www.phy.duke.edu/∼rgb/Class/intro physics 1.php It is also available in an inexpensive (really!) print version via Lulu press here: http://www.lulu.com/shop/product-21186588.html where readers/users can voluntarily help support or reward the author by purchasing either this paper copy or one of the even more inexpensive electronic copies. By making the book available in these various media at a cost ranging from free to cheap, I enable the text can be used by students all over the world where each student can pay (or not) according to their means. Nevertheless, I am hoping that students who truly find this work useful will purchase a copy through Lulu or a bookseller (when the latter option becomes available), if only to help subsidize me while I continue to write inexpensive textbooks in physics or other subjects. This textbook is organized for ease of presentation and ease of learning. In particular, they are hierarchically organized in a way that directly supports efficient learning. They are also remarkably complete in their presentation and contain moderately detailed derivations of many of the important equations and relations from first principles...
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...PHYSIC AL CONSTANTS CONSTANT Speed of light Elementary charge Electron mass Proton mass Gravitational constant Permeability constant Permittivity constant Boltzmann’s constant Universal gas constant Stefan–Boltzmann constant Planck’s constant Avogadro’s number Bohr radius SYMBOL c e me mp G m0 P0 k R s h 15 2p"2 NA a0 THREE-FIGURE VALUE 3.003108 m/s 1.60310219 C 9.11310231 kg 1.67310227 kg 6.67310211 N # m2/kg 2 1.2631026 N/A2 1H/m2 8.85310212 C 2/N # m2 1F/m2 1.38310223 J/K 8.31 J/K # mol 5.6731028 W/m2 # K4 6.63310234 J # s 6.0231023 mol21 5.29310211 m BEST KNOWN VALUE* 299 792 458 m/s (exact) 1.602 176 4871402 310219 C 9.109 382 151452 310231 kg 1.672 621 6371832 310227 kg 6.674 281672 310211 N # m2/kg 2 4p31027 (exact) 1/m0c2 (exact) 1.380 65041242 310223 J/K 8.314 4721152 J/K # mol 5.670 4001402 31028 W/m2 # K4 6.626 068 961332 310234 J # s 6.022 141 791302 31023 mol21 5.291 772 08591362 310211 m *Parentheses indicate uncertainties in last decimal places. Source: U.S. National Institute of Standards and Technology, 2007 values SI PREFIXES POWER 1024 1021 1018 1015 1012 109 106 103 102 101 100 1021 1022 1023 1026 1029 10212 10215 10218 10221 10224 THE GREEK ALPHABET PREFIX yotta zetta exa peta tera giga mega kilo hecto deca — deci centi milli micro nano pico femto atto zepto yocto SYMBOL Y Z E P T G M k h da — d c m μ n p f a z y Alpha ...
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