New Spacetime Emporium collection resources
http://www.compadre.org/relativity/
The latest material additions to the Spacetime Emporium.en-USCopyright 2016, ComPADRE.orgrelativity@compadre.orgrelativity@compadre.orgMon, 22 Jun 2015 15:13:01 ESThttp://blogs.law.harvard.edu/tech/rsshttp://www.compadre.org/portal/services/images/LogoSmallRelativity.gifSpacetime Emporium
http://www.compadre.org/relativity/
12535Paradigms in Physics: Cosmic Rays
http://www.compadre.org/relativity/items/detail.cfm?ID=13600
This small group activity is designed to help upper division undergraduate students work out the lifetime of cosmic rays taking relativistic effects into account. Students work in small groups and use hyperbolic trigonometry and spacetime diagrams to calculate the lifetime of incoming cosmic rays. The entire class wrap-up discussion summarizes group findings and difficulties, helping students gain a geometric perspective of time dilation and length contraction.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Relativity/Special Relativity/Time Dilationhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13600Mon, 22 Jun 2015 15:13:01 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13600Paradigms in Physics: Doppler Effect
http://www.compadre.org/relativity/items/detail.cfm?ID=13601
This small group activity is designed to help upper division undergraduate students understand the Doppler effect using hyperbolic geometry. Students work in small groups and use spacetime diagrams and the geometry of hyperbolas to explore the Doppler effect. The entire class wrap-up discussion focuses on how to interpret the Doppler effect using hyperbolic trigonometry, giving students further insight into the geometry of special relativity.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Relativity/Special Relativity/Time Dilationhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13601Mon, 22 Jun 2015 15:06:52 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13601Paradigms in Physics: Energy-Momentum in Different Frames
http://www.compadre.org/relativity/items/detail.cfm?ID=13602
This small group activity is designed to help upper division undergraduate students compute relativistic energy and momentum in different reference frames. Students work in small groups and practice using 4-momentum and spacetime diagrams to determine relativistic energy and momentum in different reference frames. The entire class wrap-up discussion summarizes group findings, offering students a geometric view of relativistic kinematics.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Relativity/Reference Frameshttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13602Mon, 22 Jun 2015 15:01:26 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13602Paradigms in Physics: Lorentz Transformations for Electromagnetism
http://www.compadre.org/relativity/items/detail.cfm?ID=13605
This small group activity is designed to help upper division undergraduate students realize the connection between special relativity and electromagnetism. Students work in groups and derive part of the Lorentz transformations for electromagnetism. The whole class wrap-up discussion feeds into a lecture summarizing the group work and details the behavior of electromagnetic fields in special relativity, thus allowing students to connect their understanding of electromagnetic fields to their previous work on length contraction.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Relativity/Special Relativityhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13605Mon, 22 Jun 2015 13:18:02 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13605Paradigms in Physics: Linear Acceleration
http://www.compadre.org/relativity/items/detail.cfm?ID=13606
This small group activity is designed to help upper division undergraduate students plot trajectories of objects undergoing linear acceleration in different reference frames. Students work in small groups and plot the trajectory of a ball thrown straight up as seen by a moving train undergoing constant speed and, separately, constant acceleration. The entire class wrap-up discussion reflects on the different plots students came up with, allowing students to compare trajectories of objects seen by observers in inertial and non-inertial frames.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Relativity/Special Relativity/Relativistic Kinematicshttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13606Mon, 22 Jun 2015 13:10:48 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13606Paradigms in Physics: Mass is not Conserved
http://www.compadre.org/relativity/items/detail.cfm?ID=13607
This small group activity is designed to help upper division undergraduate students analyze a standard problem about colliding lumps of clay. Students work in small groups using relativistic kinematics and conservation laws to study the collision of lumps of clay. The whole class wrap-up discussion summarizes group findings, pointing out that mass is not conserved in special relativity.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Relativity/Special Relativity/Relativistic Kinematicshttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13607Mon, 22 Jun 2015 13:06:52 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13607Paradigms in Physics: Rocket from the North Pole
http://www.compadre.org/relativity/items/detail.cfm?ID=13608
This kinesthetic activity is designed to help upper division undergraduate students visualize “straight” lines on a rotating object. Students work in pairs and attempt to draw straight lines on a rotating balloon. The entire class wrap-up discussion includes students sharing their work, opening up the classroom for a conversation on trajectories of objects in a rotating reference frame.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Classical Mechanics/Relative Motionhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13608Mon, 22 Jun 2015 12:59:47 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13608Paradigms in Physics: Paradoxes II
http://www.compadre.org/relativity/items/detail.cfm?ID=13610
This small group activity is designed to help upper division undergraduate students analyze relativity paradoxes. Students work in small groups and use spacetime diagrams to analyze relativity paradoxes sometimes not considered, such as the “manhole-cover” paradox. The whole class wrap-up discussion includes group presentations, allowing students to reach consensus in resolving each paradox as well as observe some of the interesting properties of special relativity.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.Relativity/Special Relativity/Simultaneityhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=13610Mon, 22 Jun 2015 12:47:56 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=13610Space Time Travel - Relativity Visualized
http://www.compadre.org/relativity/items/detail.cfm?ID=5131
This web site provides a range of visualizations and resources illustrating the phenomena of relativity. The goal of this material is to help learners develop a conceptual understanding without a need for higher level mathematics. Both the special and general theories are covered. Brief introductions to the theory are provided, but these resources are designed to supplement textbooks on the topic.
Examples of the illustrations include the view of objects moving at relativistic velocities, high-speed travel through various scenery, and animations of motion around black holes and other high-gravity objects.Relativity/Special Relativityhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=5131Tue, 21 Apr 2015 19:37:08 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=5131Students' Understanding of the Special Theory of Relativity and Design for a Guided Visit to a Science Museum
http://www.compadre.org/relativity/items/detail.cfm?ID=12333
The present paper describes the design of teaching materials that are used as learning tools in school visits to a science museum. An exhibition on 'A century of the Special Theory of Relativity', in the Kutxaespacio Science Museum, in San Sebastian, Spain, was used to design a visit for first?year engineering students at the university and assess the learning that was achieved. The first part of the paper presents the teaching sequence that was designed to build a bridge between formal teaching and the exhibition visit. The second part analyses the potential of the exhibition and the aforementioned teaching sequence to influence the students’ knowledge of three aspects of the Special Theory of Relativity. The results obtained show that the design of the visit, with both pre?visit and follow?up activities, was effective as a means of increasing students’ understanding and stimulating their ability to argue scientifically.Education Practices/Instructional Material Design/Activityhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=12333Wed, 26 Mar 2014 19:21:29 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=12333An Introduction to the Cosmic Microwave Background
http://www.compadre.org/relativity/items/detail.cfm?ID=1265
This web site presents a basic introduction to the cosmic background radiation and cosmology. It includes terms, graphs, and animations to present the key principles and ideas of cosmology, the expansion of the universe, properties of light, the history of the universe since the Big Bang, inflation, the curvature of spacetime, and its implications on the fate of the universe. The presentation ends with a review of the terms and a list of links to other resources. This material is based on a public presentation by the author.Astronomy/Cosmology/Cosmic Microwave Backgroundhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=1265Wed, 27 Nov 2013 23:38:22 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=1265Particle Worldline Model
http://www.compadre.org/relativity/items/detail.cfm?ID=10457
The Particle Worldline model computes and displays the trajectory of a test particle in the vicinity of a black hole using Schwarzschild coordinates. It was created for the study of Einstein's theory of general relativity and the Schwarzschild metric.
The model has input fields displaying the Schwarzschild coordinates and their rates of change as well as the energy E and and angular momentum L of the particle. Conservation laws and the speed of light impose restrictions on the dynamical variables and these restrictions are enforced when entering values or dragging the particle. For example, if a user changes the default value of dr/dt to 10, the model automatically reduces the value to 0.685 because the particle speed cannot exceed the speed of light c=1.
The Particle Worldline model a supplemental simulation for the article <a href="http://dx.doi.org/10.1119/1.3488986">"When action is not least for orbits in general relativity"</a> by C. G. Gray and Eric Poisson in the American Journal of Physics 79(1), 43-55 (2011) and has been approved by the authors and the American Journal of Physics (AJP) editor. The simulation was developed using the Easy Java Simulations (EJS) modeling tool and is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_gr_ParticleWorldline.jar file will run the program if Java is installed.Relativity/General Relativity/Black Holeshttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=10457Wed, 20 Feb 2013 21:08:33 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=10457Resource Letter BH-2: Black Holes
http://www.compadre.org/relativity/items/detail.cfm?ID=8843
This Resource Letter is designed to guide students, educators, and researchers through (some of) the literature on black holes. We discuss both the physics and astrophysics of black holes. We emphasize breadth over depth, and review articles over primary sources. We include resources ranging from nontechnical discussions appropriate for broad audiences to technical reviews of current research. Topics addressed include classification of stationary solutions, perturbations and stability of black holes, numerical simulations, collisions, the production of gravity waves, black-hole thermodynamics and Hawking radiation, quantum treatments of black holes, black holes in both higher and lower dimensions, and connections to nuclear and condensed-matter physics. On the astronomical end, we also cover the physics of gas accretion onto black holes, relativistic jets, gravitationally redshifted emission lines, evidence for stellar-mass black holes in binary systems and supermassive black holes at the centers of galaxies, the quest for intermediate-mass black holes, the assembly and merging history of supermassive black holes through cosmic time, and their affects on the evolution of galaxies.Relativity/General Relativity/Black Holeshttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=8843Wed, 20 Feb 2013 21:03:58 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=8843Concepts of Mass in Contemporary Physics and Philosophy
http://www.compadre.org/relativity/items/detail.cfm?ID=11134
This book reviews the concept of mass as it is defined, interpreted, and applied in contemporary physics and critically examined in the modern philosophy of science. It focuses on theories proposed after the mid-1950s, covering recent experimental and theoretical investigations into the nature of mass and its role in modern physics.
The book begins with the difficulties of defining inertial mass in a non-circular manner and discusses the question of whether mass is an observational or a theoretical concept. It then studies the notion of mass in special relativity and gives a critical analysis of the different derivations of the famous mass-energy relationship E = mc<sup>2</sup> and its conflicting interpretations. The book concludes with a presentation of recently proposed global and local dynamical theories of the origin and nature of mass.General Physics/Historyhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=11134Tue, 26 Jun 2012 11:07:35 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=11134The Nobel Prize in Physics 1921 - Albert Einstein
http://www.compadre.org/relativity/items/detail.cfm?ID=1647
This page includes a short biography of Albert Einstein as part of the citation and record of his Nobel Prize. Included are links to his Nobel Lecture and the presentation of his prize.General Physics/Historyhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=1647Sat, 07 Jan 2012 02:57:21 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=1647Probing students' understanding of some conceptual themes in general relativity
http://www.compadre.org/relativity/items/detail.cfm?ID=10758
This work is an attempt to see how physics undergraduates view the basic ideas of general relativity when they are exposed to the topic in a standard introductory course. Since the subject is conceptually and technically difficult, we adopted a “case studies” approach, focusing in depth on about six students who had just finished a one semester course on special relativity. The methodology of investigation involved a combination of text comprehension questionnaire and detailed clinical interviews. The aim was not to investigate the technical proficiency of the students, but to probe in detail the nuances of their conceptions of several basic points of the subject. Analysis of their responses reveals a large number of “alternative conceptions” of students in the domain. The study should be useful to physics education researchers as well as to teachers of introductory general relativity at about the senior undergraduate level.Relativity/General Relativityhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=10758Fri, 18 Nov 2011 09:55:22 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=10758The Physics of Rotation
http://www.compadre.org/relativity/items/detail.cfm?ID=7705
This web site contains media-illustrated articles on various physical phenomena related to the Coriolis effect. Almost all of the articles are illustrated with animations and java simulations. The main subjects covered include the Coriolis and Centrifugal effects, rotation-vibration coupling, the consequences of Earth's rotation on oceanography and weather, the Foucault pendulum, and angular momentum conservation. There are also articles on the Eötvös effect and special and general relativity.Classical Mechanics/Relative Motion/Coriolis Effecthttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=7705Fri, 18 Nov 2011 09:53:44 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=7705Spacetime 101
http://www.compadre.org/relativity/items/detail.cfm?ID=1820
Spacetime 101 provides basic background covering how mathematical models of space and time have evolved since ancient times, from the Pythagorean Rule to Newtonian mechanics, Special Relativity and General Relativity.Relativity/General Relativityhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=1820Fri, 03 Sep 2010 18:13:37 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=1820Science Fiction Stories with Good Astronomy & Physics: A Topical Index
http://www.compadre.org/relativity/items/detail.cfm?ID=640
This is a selective list of some short stories and novels that use more or less accurate science. They can be used for teaching or reinforcing astronomy or physics concepts. Both traditional "science-fiction" and (occasionally) more serious fiction that derives meaning or plot from astronomy or physics ideas are included. Almost 200 stories in 40 subject categories are listed, including a good number that relate to relativity, black holes, and cosmology.General Physics/Generalhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=640Sun, 15 Nov 2009 10:21:46 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=640Teaching Physics Using Virtual Reality
http://www.compadre.org/relativity/items/detail.cfm?ID=9638
This web site provides pedagogical material to use with Real Time Relativity, a virtual relativistic world simulator. Included are a lab using the software, student evaluations, and web resources for teaching relativity.Relativity/Special Relativityhttp://www.compadre.org/relativity/bulletinboard/Thread.cfm?ID=9638Tue, 10 Nov 2009 21:47:59 ESThttp://www.compadre.org/relativity/items/detail.cfm?ID=9638