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| physics motion diagram: Body Physics Lawrence Davis, Body Physics sticks to the basic functioning of the human body, from motion to metabolism, as a common theme through which fundamental physics topics are introduced. Related practice, reinforcement and Lab activities are included. See the front matter for more details. Additional supplementary material, activities, and information can be found at: https://openoregon.pressbooks.pub/bpsupmat. |
| physics motion diagram: University Physics Samuel J. Ling, Jeff Sanny, William Moebs, 2017-12-19 University Physics is designed for the two- or three-semester calculus-based physics course. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Coverage and Scope Our University Physics textbook adheres to the scope and sequence of most two- and three-semester physics courses nationwide. We have worked to make physics interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of this textbook has been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications. The goal of each section is to enable students not just to recognize concepts, but to work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from science educators dedicated to the project. VOLUME I Unit 1: Mechanics Chapter 1: Units and Measurement Chapter 2: Vectors Chapter 3: Motion Along a Straight Line Chapter 4: Motion in Two and Three Dimensions Chapter 5: Newton's Laws of Motion Chapter 6: Applications of Newton's Laws Chapter 7: Work and Kinetic Energy Chapter 8: Potential Energy and Conservation of Energy Chapter 9: Linear Momentum and Collisions Chapter 10: Fixed-Axis Rotation Chapter 11: Angular Momentum Chapter 12: Static Equilibrium and Elasticity Chapter 13: Gravitation Chapter 14: Fluid Mechanics Unit 2: Waves and Acoustics Chapter 15: Oscillations Chapter 16: Waves Chapter 17: Sound |
| physics motion diagram: College Physics for AP Courses 2e Irna Lyublinskaya, Gregory A. Wolfe, Douglas Ingram, Liza Pujji, Sudhi Oberoi, Nathan Czuba, 2022 OpenStax College Physics for AP Courses 2e is designed to engage students in their exploration of physics and help them apply these concepts to the Advanced Placement test. The AP Connection in each chapter directs students to the material they should focus on for the AP exam. |
| physics motion diagram: Physics for Scientists and Engineers Paul A. Tipler, Gene Mosca, 2004 This is an extensively revised edition of Paul Tipler's standard text for calculus-based introductory physics courses. It includes entirely new artwork, updated examples and new pedagogical features. There is also an online instructor's resource manual to support the text. |
| physics motion diagram: Physics for Scientists and Engineers, Volume 1. Mechanics Paul A. Tipler, Gene Mosca, 2003-07-10 New Volume 1A edition of the classic text, now more than ever tailored to meet the needs of the struggling student. |
| physics motion diagram: Mathematics and the Body Elizabeth de Freitas, Nathalie Sinclair, 2014-06-02 This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking. |
| physics motion diagram: Physics Douglas C Giancoli, 2013-07-17 For algebra-based introductory physics courses taken primarily by pre-med, agricultural, technology, and architectural students. This best-selling algebra-based physics text is known for its elegant writing, engaging biological applications, and exactness. Physics: Principles with Applications, 6e retains the careful exposition and precision of previous editions with many interesting new applications and carefully crafted new pedagogy. It was written to give students the basic concepts of physics in a manner that is accessible and clear. |
| physics motion diagram: Calculus-Based Physics I Jeffrey W. Schnick, 2009-09-24 Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students. This item is part 1, for the first semester. Only the textbook in PDF format is provided here. To download other resources, such as text in MS Word formats, problems, quizzes, class questions, syllabi, and formula sheets, visit: http: //www.anselm.edu/internet/physics/cbphysics/index.html Calculus-Based Physics is now available in hard copy in the form of two black and white paperbacks at www.LuLu.com at the cost of production plus shipping. Note that Calculus-Based Physics is designed for easy photocopying. So, if you prefer to make your own hard copy, just print the pdf file and make as many copies as you need. While some color is used in the textbook, the text does not refer to colors so black and white hard copies are viable |
| physics motion diagram: College Physics Eugenia Etkina, Michael Gentile, Michael J. Gentile, Alan Van Heuvelen, 2013-07-16 College Physics is the first text to use an investigative learning approach to teach introductory physics. This approach encourages you to take an active role in learning physics, to practice scientific skills such as observing, analyzing, and testing, and to build scientific habits of mind. The authors believe students learn physics best by doing physics. |
| physics motion diagram: Motion Mountain - Vol. 1 - The Adventure of Physics Christoph Schiller, 2013-12-07 How high can animals jump? What are the fastest thrown balls? How fast can aeroplanes and butterflies fly? What does the sea level tell us about the sun? What are temperature and heat? What is self-organization? This free colour pdf on introductory physics guarantees to be entertaining, surprising and challenging on every page. The text presents the best stories, images, movies and puzzles in mechanics, gravity and thermodynamics - with little mathematics, always starting from observations of everyday life. This first volume also explains conservation laws and the reversibility of motion, explores mirror symmetry, and presents the principle of cosmic laziness: the principle of least action. This popular series has already more than 160 000 readers. If you are between the age of 16 and 106 and want to understand nature, you will enjoy it! To achieve wonder and thrill on every page, the first volume includes the various colour of the bear puzzles and the picture on the wall puzzle, explains about the many types of water waves, introduces the art of laying rope, tells about the the dangers of aeroplane toilets, explores the jumping height of different animals, presents the surprising motion of moguls on skiing slopes, explains why ultrasound imaging is not safe for a foetus, gives the ideal shape of skateboard half-pipes, estimates the total length of all capillaries in the human body, explains how it is possible to plunge a bare hand into molten lead, includes a film of an oscillating quartz inside a watch, includes the handcuff puzzle and the horse pulling a rubber with a snail on it puzzle, explains how jet pilots frighten civilians with sonic superbooms produced by fighter planes, presents the most beautiful and precise sundial available today, shows leap-frogging vortex rings, tells the story of the Galilean satellites of Jupiter, mentions the world records for running backwards and the attempts to break the speed sailing record, and tells in detail how to learn from books with as little effort as possible. Enjoy the reading! |
| physics motion diagram: Principles of Mechanics Salma Alrasheed, 2019-04-30 This open access textbook takes the reader step-by-step through the concepts of mechanics in a clear and detailed manner. Mechanics is considered to be the core of physics, where a deep understanding of the concepts is essential in understanding all branches of physics. Many proofs and examples are included to help the reader grasp the fundamentals fully, paving the way to deal with more advanced topics. After solving all of the examples, the reader will have gained a solid foundation in mechanics and the skills to apply the concepts in a variety of situations. The book is useful for undergraduate students majoring in physics and other science and engineering disciplines. It can also be used as a reference for more advanced levels. |
| physics motion diagram: The Nature of Code Daniel Shiffman, 2024-09-03 All aboard The Coding Train! This beginner-friendly creative coding tutorial is designed to grow your skills in a fun, hands-on way as you build simulations of real-world phenomena with “The Coding Train” YouTube star Daniel Shiffman. What if you could re-create the awe-inspiring flocking patterns of birds or the hypnotic dance of fireflies—with code? For over a decade, The Nature of Code has empowered countless readers to do just that, bridging the gap between creative expression and programming. This innovative guide by Daniel Shiffman, creator of the beloved Coding Train, welcomes budding and seasoned programmers alike into a world where code meets playful creativity. This JavaScript-based edition of Shiffman’s groundbreaking work gently unfolds the mysteries of the natural world, turning complex topics like genetic algorithms, physics-based simulations, and neural networks into accessible and visually stunning creations. Embark on this extraordinary adventure with projects involving: A physics engine: Simulate the push and pull of gravitational attraction. Flocking birds: Choreograph the mesmerizing dance of a flock. Branching trees: Grow lifelike and organic tree structures. Neural networks: Craft intelligent systems that learn and adapt. Cellular automata: Uncover the magic of self-organizing patterns. Evolutionary algorithms: Play witness to natural selection in your code. Shiffman’s work has transformed thousands of curious minds into creators, breaking down barriers between science, art, and technology, and inviting readers to see code not just as a tool for tasks but as a canvas for boundless creativity. Whether you’re deciphering the elegant patterns of natural phenomena or crafting your own digital ecosystems, Shiffman’s guidance is sure to inform and inspire. The Nature of Code is not just about coding; it’s about looking at the natural world in a new way and letting its wonders inspire your next creation. Dive in and discover the joy of turning code into art—all while mastering coding fundamentals along the way. NOTE: All examples are written with p5.js, a JavaScript library for creative coding, and are available on the book's website. |
| physics motion diagram: Matter and Motion James Clerk Maxwell, 1878 |
| physics motion diagram: Computational Dynamics Ahmed A. Shabana, 2001-06-25 A practical approach to the computational methods used to solve real-world dynamics problems Computational dynamics has grown rapidly in recent years with the advent of high-speed digital computers and the need to develop simulation and analysis computational capabilities for mechanical and aerospace systems that consist of interconnected bodies. Computational Dynamics, Second Edition offers a full introduction to the concepts, definitions, and techniques used in multibody dynamics and presents essential topics concerning kinematics and dynamics of motion in two and three dimensions. Skillfully organized into eight chapters that mirror the standard learning sequence of computational dynamics courses, this Second Edition begins with a discussion of classical techniques that review some of the fundamental concepts and formulations in the general field of dynamics. Next, it builds on these concepts in order to demonstrate the use of the methods as the foundation for the study of computational dynamics. Finally, the book presents different computational methodologies used in the computer-aided analysis of mechanical and aerospace systems. Each chapter features simple examples that show the main ideas and procedures, as well as straightforward problem sets that facilitate learning and help readers build problem-solving skills. Clearly written and ready to apply, Computational Dynamics, Second Edition is a valuable reference for both aspiring and practicing mechanical and aerospace engineers. |
| physics motion diagram: Sears and Zemansky’s University Physics – Volume I: Mechanics Hugh D. Young, 2005 |
| physics motion diagram: Ranking Task Exercises in Physics Thomas L. O'Kuma, David P. Maloney, Curtis J. Hieggelke, 2003-10 A supplement for courses in Algebra-Based Physics and Calculus-Based Physics. Ranking Task Exercises in Physics are an innovative type of conceptual exercise that asks students to make comparative judgments about variations on a particular physicals situation. It includes 200 exercises covering classical physics and optics. |
| physics motion diagram: Physics for Scientists and Engineers, Volume 1 Raymond A. Serway, John W. Jewett, 2013-01-01 Achieve success in your physics course by making the most of what PHYSICS FOR SCIENTISTS AND ENGINEERS has to offer. From a host of in-text features to a range of outstanding technology resources, you'll have everything you need to understand the natural forces and principles of physics. Throughout every chapter, the authors have built in a wide range of examples, exercises, and illustrations that will help you understand the laws of physics AND succeed in your course! Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |
| physics motion diagram: Holt Physics Raymond A. Serway, 2009-07 |
| physics motion diagram: Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World Sir Isaac Newton, 2023-11-15 This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1934. |
| physics motion diagram: The Elements of Relativity David M. Wittman, 2018 This undergraduate textbook introduces relativity to a non-technical audience. The thinking tools approach allows readers to understand at a much deeper level than popular treatments, and end-of-chapter problems (always lacking in popular books) help build and cement that understanding. |
| physics motion diagram: The Diagrammatic, Or, Doctrine of "man" as "living-soul" Arthur Young, 1894 |
| physics motion diagram: The Essential Galileo Galileo Galilei, 2008-09-15 Finocchiaro's new and revised translations have done what the Inquisition could not: they have captured an exceptional range of Galileo's career while also letting him speak--in clear English. No other volume offers more convenient or more reliable access to Galileo's own words, whether on the telescope, the Dialogue, the trial, or the mature theory of motion. --Michael H. Shank, Professor of the History of Science, University of Wisconsin–Madison |
| physics motion diagram: Study Guide with ActivPhysics Alan Van Heuvelen, Richard Wolfson, Jay M. Pasachoff, 1999 |
| physics motion diagram: Mathematics and Its Connections to the Arts and Sciences (MACAS) Claus Michelsen, Astrid Beckmann, Viktor Freiman, Uffe Thomas Jankvist, Annie Savard, 2022-12-19 This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses. |
| physics motion diagram: Physics for Scientists and Engineers, Volume 3 Paul A. Tipler, Gene Mosca, 2007-08-16 The Sixth Edition offers a completely integrated text and media solution that will enable students to learn more effectively and professors to teach more efficiently. The text includes a new strategic problem-solving approach, an integrated Maths Tutorial, and new tools to improve conceptual understanding. |
| physics motion diagram: Minds on Physics: Motion Activities Reader William J. Leonard, 1998-01-26 Activities The MOP activities all have the same basic structure: Purpose and Expected OutcomeIn this section, we tell students the specific concepts, principles, and other ideas that will be raised and addressed during the activity. This section also tells students what they are expected to learn Prior Experience / Knowledge Needed first list for students the concepts and principles they should know or be familiar with before attempting the activity. Then, if necessary, we provide any additional background needed to do the activity Main Activity section contains the specific questions and problems that probe students' understanding and prepare them to make sense out of the ideas Reflection finishing the Main Activity, students re-examine their answers to look for patterns. They are also asked to generalize, abstract, and relate concepts to the situations they have studied |
| physics motion diagram: Understanding the Magic of the Bicycle Joseph W Connolly, 2017-01-01 The bicycle is a common, yet unique mechanical contraption in our world. In spite of this, the bike's physical and mechanical principles are understood by a select few. You do not have to be a genius to join this small group of people who understand the physics of cycling. This is your guide to fundamental principles (such as Newton's laws) and the book provides intuitive, basic explanations for the bicycle's behaviour. Each concept is introduced and illustrated with simple, everyday examples. Although cycling is viewed by most as a fun activity, and almost everyone acquires the basic skills at a young age, few understand the laws of nature that give magic to the ride. This is a closer look at some of these fun, exhilarating, and magical aspects of cycling. In the reading, you will also understand other physical principles such as motion, force, energy, power, heat, and temperature. |
| physics motion diagram: Aerospace Curriculum Resource Guide Massachusetts. Department of Education, 1968 |
| physics motion diagram: APlusPhysics Dan Fullerton, 2011-04-28 APlusPhysics: Your Guide to Regents Physics Essentials is a clear and concise roadmap to the entire New York State Regents Physics curriculum, preparing students for success in their high school physics class as well as review for high marks on the Regents Physics Exam. Topics covered include pre-requisite math and trigonometry; kinematics; forces; Newton's Laws of Motion, circular motion and gravity; impulse and momentum; work, energy, and power; electrostatics; electric circuits; magnetism; waves; optics; and modern physics. Featuring more than five hundred questions from past Regents exams with worked out solutions and detailed illustrations, this book is integrated with the APlusPhysics.com website, which includes online question and answer forums, videos, animations, and supplemental problems to help you master Regents Physics essentials. The best physics books are the ones kids will actually read. Advance Praise for APlusPhysics Regents Physics Essentials: Very well written... simple, clear engaging and accessible. You hit a grand slam with this review book. -- Anthony, NY Regents Physics Teacher. Does a great job giving students what they need to know. The value provided is amazing. -- Tom, NY Regents Physics Teacher. This was tremendous preparation for my physics test. I love the detailed problem solutions. -- Jenny, NY Regents Physics Student. Regents Physics Essentials has all the information you could ever need and is much easier to understand than many other textbooks... it is an excellent review tool and is truly written for students. -- Cat, NY Regents Physics Student |
| physics motion diagram: Foundation Course for NEET (Part 2): Chemistry Class 9 Lakhmir Singh & Manjit Kaur, Our NEET Foundation series is sharply focused for the NEET aspirants. Most of the students make a career choice in the middle school and, therefore, choose their stream informally in secondary and formally in senior secondary schooling, accordingly. If you have decided to make a career in the medical profession, you need not look any further! Adopt this series for Class 9 and 10 today. |
| physics motion diagram: APEX Calculus Gregory Hartman, 2015 APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back). |
| physics motion diagram: Lectures On Computation Richard P. Feynman, 1996-09-08 Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b |
| physics motion diagram: Multiphysics Modeling: Numerical Methods and Engineering Applications Qun Zhang, Song Cen, 2015-12-15 Multiphysics Modeling: Numerical Methods and Engineering Applications: Tsinghua University Press Computational Mechanics Series describes the basic principles and methods for multiphysics modeling, covering related areas of physics such as structure mechanics, fluid dynamics, heat transfer, electromagnetic field, and noise. The book provides the latest information on basic numerical methods, also considering coupled problems spanning fluid-solid interaction, thermal-stress coupling, fluid-solid-thermal coupling, electromagnetic solid thermal fluid coupling, and structure-noise coupling. Users will find a comprehensive book that covers background theory, algorithms, key technologies, and applications for each coupling method. - Presents a wealth of multiphysics modeling methods, issues, and worked examples in a single volume - Provides a go-to resource for coupling and multiphysics problems - Covers the multiphysics details not touched upon in broader numerical methods references, including load transfer between physics, element level strong coupling, and interface strong coupling, amongst others - Discusses practical applications throughout and tackles real-life multiphysics problems across areas such as automotive, aerospace, and biomedical engineering |
| physics motion diagram: 100 Instructive Trig-Based Physics Examples Chris McMullen, 2016-11-12 DESCRIPTION: over 100 fully-solved examples step-by-step solutions with explanations standard problems from trig-based physics includes tables of equations, symbols, and units This volume covers motion, including uniform acceleration, vector addition, projectile motion, Newton's laws, conservation of energy, work, collisions, rotation, center of mass, moment of inertia, satellites, and more. (Vol. 2 covers electricity and magnetism, while Vol. 3 covers waves, fluids, heat, sound, and light. Vol.'s 2-3 will be released in the spring of 2017.) AUTHOR: The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a half-dozen papers on the collider phenomenology of superstring-inspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge). Dr. McMullen is well-known for: engaging physics students in challenging ideas through creativity breaking difficult problems down into manageable steps providing clear and convincing explanations to subtle issues his mastery of physics and strong background in mathematics helping students become more fluent in practical math skills MATH REVIEW: Separate chapters cover essential algebra, geometry, and trigonometry skills. USES: This physics book serves two functions: It provides a variety of examples for how to solve fundamental physics problems. It's also the solutions manual to Essential Trig-based Physics Study Guide Workbook, ISBN 978-1-941691-14-4. |
| physics motion diagram: Computational Physics Nicholas J. Giordano, 1997 Conveying the excitement and allure of physics, this progressive text uses a computational approach to introduce students to the basic numerical techniques used in dealing with topics and problems of prime interest to today's physicists. *Contains a wealth of topics to allow instructors flexibility in the choice of topics and depth of coverage: *Examines projective motion with and without realistic air resistance. * Discusses planetary motion and the three-body problem. * Explores chaotic motion of the pendulum and waves on a string. * Considers topics relating to fractal growth and stochastic systems. * Offers examples on statistical physics and quantum mechanics. *Contains ample explanations of the necessary algorithms students need to help them write original programs, and provides many example programs and calculations for reference. * Students and instructors may access sample programs through the authors web site: http: //www.physics.purdue.edu/ ng/comp_phys.html *Includes a significant amount of additional material and problems to give students and instructors flexibility in the choice of topics and depth of coverage |
| physics motion diagram: Vol 06: Laws of Motion: Adaptive Problems Book in Physics (with Detailed Solutions) for College & High School SATYAM SIR, Learn Laws of Motion which is divided into various sub topics. Each topic has plenty of problems in an adaptive difficulty wise. From basic to advanced level with gradual increment in the level of difficulty. The set of problems on any topic almost covers all varieties of physics problems related to the chapter Laws of Motion. If you are preparing for IIT JEE Mains and Advanced or NEET or CBSE Exams, this Physics eBook will really help you to master this chapter completely in all aspects. It is a Collection of Adaptive Physics Problems in Laws of Motion for SAT Physics, AP Physics, 11 Grade Physics, IIT JEE Mains and Advanced , NEET & Olympiad Level Book Series Volume 06 This Physics eBook will cover following Topics for Laws of Motion: 1. Free Body Diagram 2. Newton's 2nd Law 3. Equilibrium of Forces 4. String Constraint 5. Pulley Problems 6. Wedge Constraint 7. Two Block Problems 8. Pseudo Force 9. Circular Motion 10. Banking of Road 11. Chapter Test The intention is to create this book to present physics as a most systematic approach to develop a good numerical solving skill. About Author Satyam Sir has graduated from IIT Kharagpur in Civil Engineering and has been teaching Physics for JEE Mains and Advanced for more than 8 years. He has mentored over ten thousand students and continues mentoring in regular classroom coaching. The students from his class have made into IIT institutions including ranks in top 100. The main goal of this book is to enhance problem solving ability in students. Sir is having hope that you would enjoy this journey of learning physics! In case of query, visit www.physicsfactor.com or WhatsApp to our customer care number +91 7618717227 |
| physics motion diagram: Physics for Scientists and Engineers Randall Dewey Knight, 2017 |
| physics motion diagram: Relativity Visualized , 1985 Perfect for those interested in physics but who are not physicists or mathematicians, this book makes relativity so simple that a child can understand it. By replacing equations with diagrams, the book allows non-specialist readers to fully understand the concepts in relativity without the slow, painful progress so often associated with a complicated scientific subject. It allows readers not only to know how relativity works, but also to intuitively understand it. |
| physics motion diagram: Forty-five New Force and Motion Assessment Probes Page Keeley, Rand Harrington, 2010 Nationally known science educator Page KeeleyOCoprincipal author of the popular, four-volume NSTA Press series Uncovering Students Ideas in ScienceOCohas teamed up with physicist and science educator Rand Harrington to write this first volume in their new series on physical science. They begin with one of the most challenging topics in physical science: force and motion. The 45 assessment probes in this book enable teachers to find out what students really think about key ideas in force and motion. |
| physics motion diagram: Molecular Symmetry, Super-Rotation, and Semiclassical Motion Hanno Schmiedt, 2017-08-31 This book presents a range of fundamentally new approaches to solving problems involving traditional molecular models. Fundamental molecular symmetry is shown to open new avenues for describing molecular dynamics beyond standard perturbation techniques. Traditional concepts used to describe molecular dynamics are based on a few fundamental assumptions, the ball-and-stick picture of molecular structure and the respective perturbative treatment of different kinds of couplings between otherwise separate motions. The book points out the conceptual limits of these models and, by focusing on the most essential idea of theoretical physics, namely symmetry, shows how to overcome those limits by introducing fundamentally new concepts. The book begins with an introduction to molecular symmetry in general, followed by a discussion of nuclear spin symmetry. Here, a new correlation between identical particle exchange and spin angular momentum symmetry of nuclei is exhibited. The central part of the book is the discussion of extremely floppy molecules, which are not describable in the framework of traditional theories. The book introduces a fundamentally new approach to describing the molecular dynamics of these molecules - the super-rotor model, which is based on a five-dimensional symmetry that has never been observed in molecules before. By applying the super-rotor theory to the prototype of floppy molecules, protonated methane, this model can consistently predict the symmetry and energy of low-energy states, which were characterized experimentally only a few years ago. The theoretical predictions agree with the experimental results, which makes the prospect of further developing the super-rotor theory and applying it to other molecules a promising one. In the final section, the book also covers the topic of ultrafast rotations, where usual quantum calculations reach their natural limits. A semi-classical method for determining rotational energies, developed in the early 1990s, is shown to be attachable to quantum calculations of the vibrational states. This new combined method is suitable for efficiently calculating ro-vibrational energies, even for molecular states with large angular momentum. |
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