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New Mexico - ASTRO - 101
NotesGrades for Test #1 are now available online.Three questions thrown out. One perfect score! Avg. 78%Please see me for your Class ID# if you did not take the first test. You will need this number for the remainder of the course. Today: S
New Mexico - ASTRO - 101
Astronomy Picture of the DayCPS QuestionWhich of the following provides the most useful information about the Earth's interior?A) drilling B) laser-ranging C) x-rays D) seismic wavesCPS QuestionThe _ theory of lunar formation best accounts for
New Mexico - ASTRO - 101
Review for Test #2Same format as last time: Make sure you know your three digit class ID# Do not sit in last two rows Bring a #2 pencil 40 multiple choice questionsTwo Kinds of Planets"Terrestrial" "Jovian"Two Kinds of Planets"Terrestri
New Mexico - ASTRO - 101
Review for Test #4I have decided to drop the lowest of all four tests. Please see the file Worst Case Grades under Downloads for more info. Test on Monday, May 9th at 3:00pm in this room. 30 equally-weighted multiple choice questions. Please bring
New Mexico - ASTRO - 101
Astronomy Picture of the DayDifferential Rotation Density of Jovians increases with depth Outer atmosphere rotates faster in response to rapid core rotation frictional effect This motion is imparted most efficiently along the direction perpendi
New Mexico - ASTRO - 101
Astronomy Picture of the DayCPS QuestionWhich ONE of these is constant for all forms of EM radiation in a vacuum? A) amplitude B) wavelength C) frequency D) velocity E) energy CPS QuestionWhich ONE is NOT a property of a blackbody? A)
New Mexico - ASTRO - 101
Astronomy Picture of the DayCPS QuestionThe pressure that prevents the gravitational collapse of white dwarfs is a result of _ . A) Conservation of energy B) Conservation of angular momentum C) Einstein's principle of equivalence D) The Pau
New Mexico - ASTRO - 101
Astronomy Picture of the DayNotesQuestion about why car is safe place to be in a thunderstorm Tires do not insulate you from ground. My mistake. Metal shell provides some shielding from a lightning strike electricity takes path of least resi
New Mexico - ASTRO - 101
A Brief Tour of the Universe
New Mexico - ASTRO - 101
Astronomy Picture of the Dayhttp:/panda.unm.edu/courses/tessier/astro101 Today:Chapter 1 (Moon phases and Eclipses, Birth of modern astronomy) Start using CPS system today: Test comprehension Give an idea of possible test questionsCPS Qu
New Mexico - ASTRO - 101
Astronomy Picture of the DayWhen tectonic plates meet.1) Head-on collision (Himalayas) 2) "Subduction zone" (one slides under the other) (Andes, Recent Tsunami) 3) "Rift zone" (two plates moving apart) (Mid-Atlantic Ridge) 4) They may just slide
New Mexico - ASTRO - 101
Material for Test #4Ch. 15.2, 15.3, 15.5 (Properties of galaxies) Ch. 16.1 (Cosmic Expansion) Ch. 17 (Cosmology) Ch. 18 (Life in the Universe)GalaxiesWhat is a galaxy? How many stars are there in an average galaxy? About how many galaxi
New Mexico - ASTRO - 101
Astronomy Picture of the DayCPS QuestionThe surface of the Sun, or the part of the Sun that we see, is called the _ . A) core B) photosphere C) corona D) radiation zoneCPS QuestionThe apparent brightness of a star depends on its:
New Mexico - ASTRO - 101
Astronomy Picture of the DayNotesQuestion about why car is safe place to be in a thunderstorm Tires do not insulate you from ground. My mistake. Metal shell provides some shielding from a lightning strike electricity takes path of least resi
New Mexico - ASTRO - 101
NotesGrades for Test #1 are now available online.Three questions thrown out. One perfect score! Avg. 78%Please see me for your Class ID# if you did not take the first test. You will need this number for the remainder of the course. Today: S
New Mexico - ASTRO - 101
Test #1 40 equally weighted multiple choice questions Bring a no. 2 pencil. You wont need anything else. Be on time! You may use the entire class period, but no leaving and then returning. Do not sit in the last two rows (J or K)! You will be g
New Mexico - ASTRO - 101
Review for Test #3Test on Monday, April 18th. Covers Chs. 9, 12, 13 and one topic (Apparent Brightness vs. Luminosity) from Ch. 10. Fewer questions (30 multiple choice). Please bring a #2 pencil. Please make sure you know your three digit ID.
New Mexico - ASTRO - 101
Astronomy Picture of the DayCPS QuestionThe pressure that prevents the gravitational collapse of white dwarfs is a result of _ . A) Conservation of energy B) Conservation of angular momentum C) Einstein's principle of equivalence D) The Pau
New Mexico - PHYS - 160
Welcome to Physics 160Course webpage is at: http:/panda.unm.edu/Courses/Fields/Phys160/Phys160_SP09.htmlHere are some items to help you succeed in this class and to register for CPS and Mastering Physics.--Warning! This is probably the most dif
New Mexico - PHYS - 1
15Problem 4 Essay 10.0 How does a soda can electroscope work The detector consists of a soda can, which is a conducor, taped to a cup, which is an insulator, and hanging aluminium strip (also a conductor) When a charged object is brought near the h
New Mexico - PHYS - 152
Physics 152 General Physics II P 152.001 Call #16232 Instructor P. Thorman, Fall 2008Email: pthorman@unm.edu Office Hours: Monday 12:00-1:00, Regener 109 Wednesday 3:00 -4:00, Regener 109 Friday 2:00-3:00, Physics and Astronomy Dept. Lobby (NE cor
New Mexico - P - 303
Physics 303Bonus Homework No. 2 due Tuesday, 25 November, 2008 50 Homework points Steady-state, periodic forcing functions are interesting and useful for damped oscillators; however, a more general sort of forcing function would surely be more usefu
New Mexico - P - 573
Review for Hamiltonian Mechanics2. Canonical Transformations Another less obvious property of the Poisson bracket is that it satisfies the "chain rule": We let { }2n be an alternative set of coordinates on phase space; then we have 1 {R, S} = R, P
New Mexico - P - 573
The Pendulum as a Useful Example: Action-Angle Variables and Perturbation Theory1. The Simple Pendulum: Setup and Motion in Terms of Action Angle Variables We consider a simple pendulum, of mass m and length , swinging under gravity from a single, x
New Mexico - P - 573
Comments on the Jacobi Elliptic Functions in the Complex Plane Knowing that the function u sn(z; k), for 0 < k 2 < 1, satises the dierential equation (u )2 = (1 u2 )(1 k 2 u2 ) f (u) allows us to constructively think about places where it might b
New Mexico - P - 500
Some Notes for Lie algebras0. A one-parameter subgroup of a continuous group is a mapping from a single real variable, into the group, say Z : R G, so that Z(t) is a group element for every (appropriate) value of t. We can think of the subgroup as
New Mexico - P - 406
Physics 406 Time Dependence of a Gaussian Wave PacketMoving Through a Dispersive Medium With a Cuto Frequency An electromagnetic wave moves through a dispersive material for which k = k() is given by2 (ck)2 = 2 m ,where m is a constant value, d
New Mexico - P - 495
Possible Projects for Physics 495 as a take home nal exam due 13 December, 2001 [before 5 p.m.]by Daniel Finley, Fall, 2001, 1 November, 2001Possible Projects for Phys. 495 Class Finals The nal exam for the course consists of a term paper, where y
New Mexico - P - 406
General Lorentz Transformations, Acting on Some Important Physical Quantities We are interested in transforming measurements made in a reference frame O into measurements of the same quantities as made in a reference frame O, where the reference fram
New Mexico - P - 303
Physics 303The Eccentric Anomaly as a useful device for determining the passage of time on a planetary orbit We begin with the equation for the total energy per unit mass, and also the angular momentum per unit mass: e E 1 GM 1 2 GM = v2 = r2 + 2
New Mexico - P - 262
Atomic Sra, and Bohr's Model for the Hydrogen AtomThe study of the nature of individual atoms comes, almost completely, from studying the radiation that they emit or absorb. Hydrogen is the simplest atom; therefore, earlier attempts to understand ma
New Mexico - P - 573
3. Hamilton-Jacobi Equation and Action-angle variables Perhaps it is good to note that for quite some time now we will only be considering systems with Hamiltonians that are independent of time! Remember that cyclic coordinates are those q a which do
New Mexico - P - 573
Flows: mostly in 2 variables1. Notes relative to Steve's Presentation on Flows We consider the behavior of the solutions to the autonomous flow equations, at least mostly in 2 dimensions, of the generic, first-order form: X(x, y, z, w, . . . x y
New Mexico - P - 500
Some Definitions Useful for Group Theory1. A group G is a set together with a map : G G G such that for all a, b, c G a.) (a, b) G , {closure}, {associativity}, {identity}, {inverse}.b.) [(a, b), c] = [a, (b, c)] ,c.) ! e G such that (e, a
New Mexico - P - 500
Physics 538Suggested Homework #1 1. Please consider the following set of 8 matrices, which it is claimed constitute a (simple) Lie algebra. For notation, let the symbol be dened as a particular cube-root of +1, namely e2i/3 : 0 A+ 0 1 0 C+
New Mexico - P - 303
Physics 303Useful "Trigonometric" Integrals Note: all integrals given below are indefinite, and I have ignored a constant of integration. However, in physical situations, one should always treat them as definite integrals, inserting upper and lower
New Mexico - P - 570
Useful Notes for the Rotation GroupI. The Denition using 3 3 Matrices In physical 3-dimensional (vector) space, E 3 , rotations are transformations that preserve lengths of vectors while changing their directions. Using the symbol R for both the tr
New Mexico - P - 570
Physics 570Homework #10 Due Thursday, 12 April, 2007 Solutions 1. Consider the manifold corresponding to the spherically-symmetric, interior Schwarzschild solution, corresponding to a uid with constant density, and look at the 3-dimensional slices o
New Mexico - P - 570
Physics 570Homework #8 Due Thursday, 29 March, 2007 1. An observer is moving on a circular orbit around the central mass in the Schwarzschild manifold; i.e., his location is on a geodesic with a constant value of r and = /2. a. First write out the
New Mexico - P - 570
INSTITUTE OF PHYSICS PUBLISHING Class. Quantum Grav. 21 (2004) 233249CLASSICAL AND QUANTUM GRAVITY PII: S0264-9381(04)67591-5The emergent universe: an explicit constructionGeorge F R Ellis, Jeff Murugan and Christos G TsagasDepartment of Mathem
New Mexico - P - 573
The Korteweg-De Vries Equation: A DerivationWe begin with the standard conservation equations for uid motion: t + (t + v (v) = 0 , (1))v = P + f ,where is the density and v the velocity of the uid, while P is the internal pressure and f is t
New Mexico - P - 570
Summary of Formulae for the Robertson-Walker Metric1. A (local) dieomorphism is a mapping of some (open) neighborhood of a manifold M into itself that is invertible and both it and its inverse are dierentiable. 2. A (local) isometry is a (local) die
New Mexico - P - 570
INSTITUTE OF PHYSICS PUBLISHING Class. Quantum Grav. 19 (2002) 35673569CLASSICAL AND QUANTUM GRAVITY PII: S0264-9381(02)36633-4Comment: Cosmology, 2001George F R EllisMathematics Department, University of Cape Town, Rondebosch, Cape Town 7701,
New Mexico - P - 303
Physics 303Homework No. 14 1. Solutions: due Thursday, 23 October, 2008Using cylindrical coordinates (s, , z) nd the length L of a path on a cylinder of radius R. Assume that the path is specied in the form = (z), and give the result as an integr
New Mexico - P - 570
INSTITUTE OF PHYSICS PUBLISHING Class. Quantum Grav. 23 (2006) 59075917CLASSICAL AND QUANTUM GRAVITYdoi:10.1088/0264-9381/23/20/012On the issue of gravitonsLeszek M Sokolowski1 and Andrzej Staruszkiewicz21 2Astronomical Observatory, Jagello
New Mexico - P - 303
Physics 303Homework No. 3 1. Solutions: due Thursday, 4 September, 2008I am standing on the grounddenitely an inertial frame in this problembeside a perfectly at, horizontal turntable, rotating with constant angular velocity . I lean over and shov
New Mexico - P - 570
Stereographic Projection of the Sphere:II. Vector Potentials for Magnetic MonopolescontinuedNow lets use these constructions to consider the magnetic eld of a magnetic monopole, were one to exist! It is reasonably obvious what the magnetic eld o
New Mexico - P - 570
Physics 570Bonus Exam26 April, 2007: TakeHome and return tomorrow, Friday, 27 April, 2007, by 4 pmSolutions There are two BONUS questions, for BONUS credit on the course, if you choose, for 25 pts each. This is an examination as usual; therefore
New Mexico - P - 303
Physics 303Homework No. 15 1. Please do problem 6.19 from your text. To understand the surface of revolution that is described in the problem, it helps considerably if you draw a reasonable gure. The surface whose area is being calculated should loo
New Mexico - P - 303
Physics 303Homework No. 18 1. 2. 3. Please do Problem 13.3 from your text. Please do Problem 13.11 from your text. Please do Problem 7.51 from your text. due Thursday, 6 November, 2008
New Mexico - P - 570
Class. Quantum Grav. 16 (1999) A37A75. Printed in the UKPII: S0264-9381(99)00323-883 years of general relativity and cosmology: progress and problemsGeorge F R EllisDepartment of Mathematics and Applied Mathematics, University of Cape Town, Ron
New Mexico - P - 573
Continuing with Perturbation Theory5. Fast Oscillation Periods versus Slowly Varying Parameters: Multiple Time-Scale Averaging: Adiabatic Invariants Beginning with the simplest sort of 1-dimensional problem, we may suppose that we have been given an
New Mexico - P - 573
Review for Hamiltonian Mechanics1. Basic Geometry We begin with some particular, physical system, and suppose that it is appropriately described by some set, {q a }n , of generalized coordinates; as well of course it has something which characteriz
New Mexico - P - 570
Physics 570Homework #5 Due Thursday, 22 February, 2007 1. Using the fact that the covariant derivative of a vector is again a vector, determine the transformation of an affine connection from one basis set to another. More precisely, let us define o
New Mexico - P - 303
Physics 303Homework No. 4 1. Solutions: due Tuesday, 9 September, 2008A baseball of mass m = 0.1 kg is thrown vertically downward in a medium such that the terminal velocity is vm = 10 m/s. Its initial velocity is v0 = 4 m/s. Please determine an e
New Mexico - P - 303
Physics 303Homework No. 12 1. An undamped oscillator has period 0 = 1.000 seconds, but I now add a little damping so that its period changes to 1 = 1.001 seconds. What is the damping factor ? By what factor will the amplitude of oscillation decrease
New Mexico - P - 303
Physics 303Homework No. 25 1. Solutions: due Tuesday, 9 December, 2008I am spinning a bucket of water about its vertical axis, with angular velocity . Show that, once the water has settled in equilibrium, relative to the bucket, its surface will b
New Mexico - P - 303
Physics 303Homework No. 9 1. due Tuesday, 30 September, 2008Recall the problem from a previous homework set, where a particle of mass m is moving on a frictionless horizontal table, and is attached to a massless string, the other end of which pass
New Mexico - P - 303
Physics 303Homework No. 17 1. due Tuesday, 4 November, 2008Please do Problem 7.10 from your text, which asks that you nd the three Cartesian coordinates of the motion of a particle constrained to move on the (inside) surface of a circular cone, in
New Mexico - P - 303
Physics 303Homework No. 12 1. due Tuesday, 14 October, 2008Please do problems 5.26 and 5.29 from your text. For both of these problems, please also use a computer to generate a phase-plane diagram, i.e., a graph of the velocity versus the location
New Mexico - P - 303
Physics 303Homework No. 20 1. Solutions: due Thursday, 13 November, 2008By examining the eective potential energy, nd the radius at which a planet (or comet) with angular momentum can orbit the sun in a circular orbit with xed radius. Then show th