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### 10_1425_web_Lec_11_Gravitation

Course: PHYSICS 1425, Spring 2010
School: UVA
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Word Count: 1537

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1425 Gravitation Physics Lecture 11 Michael Fowler, UVa The Inverse Square Law Newtons idea: the centripetal force keeping the Moon circling the Earth is the same gravitational force that pulls us to the ground. BUT: the Moons centripetal acceleration is only 1/3600 of g! The Moon is 60 times further from the Earths center than we are. SO: this suggests the gravitational pull from the Earth decreases with...

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UVA - PHYSICS - 1425
Work and EnergyPhysics 1425 Lecture 12Michael Fowler, UVaWhat is Work and What Isnt? In physics, work has a very restricted meaning! Doing homework isnt work. Carrying somebody a mile on a level road isntwork Lifting a stick of butter three feet i
UVA - PHYSICS - 1425
Kinetic Energy and Energy ConservationPhysics 1425 Lecture 13Michael Fowler, UVaMoving Things Have Energy Energy is the ability to do work: todeliver a force that acts through adistance. Placing a weight gently on a nail doesnothing. Dropping the
UVA - PHYSICS - 1425
More Energy TopicsPhysics 1425 Lecture 14Michael Fowler, UVaTopics for TodayOverall Energy ConservationGravitation and Escape VelocityPowerEquilibriumOverall Energy Conservation In the real world, theres lots of friction, airresistance, etc., so
UVA - PHYSICS - 1425
MomentumPhysics 1425 Lecture 15Michael Fowler, UVaPhysics Definition of Momentum Momentum is another word (like work,energy, etc.) from everyday life that has aprecise meaning when used in physics. To begin with, we discuss point particles (orsmal
UVA - PHYSICS - 1425
More about MomentumPhysics 1425 Lecture 15Michael Fowler, UVaElastic One-Dimensional Collisions 1 An elastic collision is one in which mechanical energyis conserved. First example: two equal masses with oppositevelocities:v-v Conservation of mom
UVA - PHYSICS - 1425
Center of MassPhysics 1425 Lecture 17Michael Fowler, UVaCenter of Mass and Center of Gravity Everyone knows that if onekid has twice the weight, theother kid must sit twice as farfrom the axle to balance. Each kid then has the sametorque about th
UVA - PHYSICS - 1425
Circular MotionPhysics 1425 Lecture 18Michael Fowler, UVaHow Far is it Around a Circle? A regular hexagon (6 sides) can abe made by putting together 6equilateral triangles (all sidesequal). The radius of the circle = 1. The distance all the way r
UVA - PHYSICS - 1425
Rotational DynamicsPhysics 1425 Lecture 19Michael Fowler, UVaRotational Dynamics Newtons First Law: a rotatingbody will continue to rotate atconstant angular velocity aslong as there is no torque actingon it. Picture a grindstone on asmooth axle
UVA - PHYSICS - 1425
More Rotational DynamicsPhysics 1425 Lecture 20Michael Fowler, UVaClicker QuestionA uniform rod is free to rotate in a vertical plane abouta frictionless hinge at one end. It is released from restat an angle of 30. (I = (1/3)ML2, = Mg(L/2)cos30)The
UVA - PHYSICS - 1425
Angular MomentumPhysics 1425 Lecture 21Michael Fowler, UVaA New Look for = I Weve seen how = I works for a bodyrotating about a fixed axis. = I is not true in general if the axis ofrotation is itself accelerating BUT it IS true if the axis is thro
UVA - PHYSICS - 1425
More Angular Momentum, thenStaticsPhysics 1425 Lecture 23Michael Fowler, UVaVector Angular Momentum of a Particle A particle with momentum p is atposition r from the origin O.z Its angular momentum about theorigin isOL= r p This is in line wit
UVA - PHYSICS - 1425
More StaticsPhysics 1425 Lecture 24Michael Fowler, UVaStatics: Conditions for Equilibrium For any body, MdvCM / dt = Fi , the net forcecauses the CM to accelerate. Hence, if the body isremaining at rest,F = 0ii To eliminate angular acceleration,
UVA - PHYSICS - 1425
HydrostaticsPhysics 1425 Lecture 25Michael Fowler, UVaBasic Concepts Density Pressure: Pascals PrincipleThe Crown and the Bathtub Around 250 BC, the king ofSyracuse commissioned a newcrown,and gave the goldsmithabout 1 kg of gold (size of a Dba
UVA - PHYSICS - 1425
More HydrostaticsPhysics 1425 Lecture 26Michael Fowler, UVaBasic Concepts Atmospheric Pressure Buoyancy: Archimedes PrincipleClicker Question Galileo once observed that even a carefullyconstructed pump, situated at ground level,was not able to dr
UVA - PHYSICS - 1425
HydrodynamicsPhysics 1425 Lecture 27Michael Fowler, UVaBasic Concepts Fluid conservation Bernoullis EquationYou are sitting in a rowing boat in a small pond. There are somebricks in the boat. You take the bricks and throw them into thepond. They s
UVA - PHYSICS - 1425
Simple Harmonic MotionPhysics 1425 Lecture 28Michael Fowler, UVaForce of a Stretched Spring If a spring is pulled toextend beyond itsnatural length by adistance x, it will pullback with a forceF = kxwhere k is called thespring constant.The sam
UVA - PHYSICS - 1425
Damped and Driven Harmonic MotionPhysics 1425 Lecture 29Michael Fowler, UVaDamped Harmonic Motion In the real world, oscillators CSprings force Drag forceexperience damping forces:F = kx F = bvfriction, air resistance, etc.m These forces always
UVA - PHYSICS - 1425
Temperature, Expansion, Ideal Gas LawPhysics 1425 Lecture 30Michael Fowler, UVaEverythings Made of Atoms This idea was only fully accepted about 100years agoin part because of Einsteinsanalysis of Brownian motion. Brown, who studied the sex life of
UVA - PHYSICS - 1425
Kinetic Theory of GasesPhysics 1425 Lecture 31Michael Fowler, UVaBernoullis Picture Daniel Bernoulli, in 1738, wasthe first to understand airpressure in terms of moleculeshe visualized them shootingaround very rapidly in a closedcontainer, suppor
UVA - PHYSICS - 1425
More Kinetic Theory of GasesPhysics 1425 Lecture 32Michael Fowler, UVaVapor Pressure and Humidity The H2O molecules in liquid water stronglyattract each other, holding the liquid together.But these molecules are still jiggling around,with a Maxwell
UVA - PHYSICS - 1425
Heat and Energy ConservationPhysics 1425 Lecture 33Michael Fowler, UVaHeat Flow If something warm is in contact with somethingqcooler, the warm thing cools down as the cool thinggets a little warmer. This flow of energy, called heat,was until the
UVA - PHYSICS - 1425
Gas Processes and Heat TransportPhysics 1425 Lecture 34Michael Fowler, UVaThe First Law of Thermodynamics A closed system has a total internal energy Eint. This energy can be changed in two different ways:A. The system can do work W, or have work do
UVA - PHYSICS - 1425
The Second Law of Thermodynamics:Heat EnginesPhysics 1425 Lecture 35Michael Fowler, UVaThe First Law of Thermodynamics In any process, total energy is always conserved. Once it was fully realized that heat is just anotherform of energy, it was esta
UVA - PHYSICS - 1425
EntropyPhysics 1425 Lecture 36Michael Fowler, UVaFirst and Second Laws ofThermodynamics A quick review. First Law: total energy conserved in anyprocess: joules in = joules out Second Law: heat only flows one way, and wecant turn heat into just wo
Auburn - PHYS - 2200
Physics 1425: General Physics ISpring 2010Michael FowlerRoom 307, PhysicsHome PageTodays Topics Course arrangements, syllabus outline. Nature of science: observation andmeasurement. Accuracy, significant figures. Units, mass of water, estimation
Auburn - PHYS - 2200
A proposed Magnetized Dusty Plasma User FacilityE. Thomas, Jr. (Auburn Univ.), R. L. Merlino (Univ. Iowa), M. Rosenberg (UCSD)Previous experiments on magnetized dusty plasmasFeasibility of a magnetized dusty plasma facilityMPE superconducting magnet s
Auburn - PHYS - 2200
SOLUTIONSPHYS 2200 Introduction to Quantum Mechanics and RelativityEXAM 1Fall Semester, 2011Instructions:a) This exam is closed book and closed notes.b) You MUST show all of your work in order to obtain full credit on the problems.Part 1: Short Pro
Auburn - PHYS - 2200
Solutions to HW 1: Ch. 1 - 3, 4, 7, 8, 9, 20, 22, 25, 41 The problem uses the Lorentz transform approach. More explicitly, they have done the following: Earth frame: Plane frame: Dlyra = +2500 cy = x1
Auburn - PHYS - 2200
oo234x(m)(b) When 10 seconds have passed on the rocket's clock, only 6 seconds have passed onthe laboratory clock.Solutions to HW 1: Ch. 1 18, 23, 27, 43; Ch. 2 1, 4, 5, 81-18.(a)U'=0U~=0xyx'vx=UxU'x+v1 + vU.:O+V=-=VIc1+ 02
Auburn - PHYS - 2200
Solutions to HW 3: Ch. 2 12, 14, 17, 19, 24, 27, 40 -9Note: Error in text solution: 0.34 ng and 0.68 ng (n = nano = 10 ) NOT !
Ole Miss - SPAN - 102
Expresiones para la claseExpressions for the classLearn the following commands, so that you can react to them when they are used by your instructor:Comments and questions from the studentsCmo se dice en espaol?Cmo se escribe?Qu quiere decir?No enti
Ole Miss - SPAN - 102
Spanish 102 Exam 1 Study Guide - Captulo 5 - (35 points)* Please bring a purple scantron and # 2 pencils.*Receiving or giving aid on a test or an exam is cause for dismissal from the University ofMississippi. Any questions should be directed to your In
Ole Miss - SPAN - 102
STUDY GUIDE - ESPAOL 102 - EXAMEN 2 - Captulo 6 (33 points)* Please bring a purple scantron and # 2 pencils.*ACTIVIDAD A. LOS ALIMENTOS.Las descripciones de alimentos. John est en un restaurante mexicano pero no comprende elmen. Su amigo Miguel le des
Ole Miss - SPAN - 102
ESPAOL 102 - EXAMEN 3 - Captulo 7 - STUDY GUIDE* Please bring a purple scantron and # 2 pencils.*ACTIVIDAD A. Qu tiempo hace? Juana tiene que hacer un informe meteorolgico.Escucha lo que dice y selecciona la opcin correcta. (4 puntos)Modelo:You hear:
Ole Miss - SPAN - 102
ESPAOL 102 EXAMEN 4 Captulo 8 (27 puntos)* Please bring number a purple scantron sheet and number 2 pencils.*Receiving or giving aid on a test or an exam is cause for dismissal from the University ofMississippi. Any questions should be directed to your
Ole Miss - SPAN - 102
ESPAOL 102 STUDY GUIDE - EXAMEN FINAL (100 puntos)* Please do not forget your PURPLE scantron sheet and no. 2 pencils *Receiving or giving aid on a test or an exam is cause for dismissal from the University. Anyquestions should be directed to your inst
Ole Miss - SPAN - 101
Expresiones para la claseExpressions for the classLearn the following commands, so that you can react to them when they are used by your instructor:Comments and questions from the studentsCmo se dice en espaol?Cmo se escribe?Qu quiere decir?No enti
Ole Miss - SPAN - 101
SPANISH 101 STUDY GUIDE TEST 1 Captulo 1 (36 points)Please, bring a Purple Scantron No. 16485 and # 2 pencils.Receiving or giving aid on a test or an exam is cause for dismissal from the University ofMississippi. Any questions should be directed to you
Ole Miss - SPAN - 101
SPANISH 101 - STUDY GUIDE- EXAM 2 - Captulo 2 - (38 points)Please, bring a Purple Scantron No. 16485 and # 2 pencils.Receiving or giving aid on a test or an exam is cause for dismissal from the University ofMississippi. Any questions should be directed
Ole Miss - SPAN - 101
STUDY GUIDE- SPANISH 101 EXAMEN 3 - CHAPTER 3 (37 points)Please, bring a Purple Scantron No. 16485 and # 2 pencils.Receiving or giving aid on a test or an exam is cause for dismissal from the University. Anyquestions should be directed to your instruct
Ole Miss - SPAN - 101
Spanish 101 Study Guide - Exam 4 Chapter 4 (34 points)Please, bring a Purple Scantron No. 16485 and # 2 pencils.Receiving or giving aid on a test or an exam is cause for dismissal from the University of Mississippi. Anyquestions should be directed to y
Ole Miss - SPAN - 101
SPANISH 101- FINAL EXAM STUDY GUIDE - (100 points) - Fall 2011*Don't forget your purple scantron and # 2 pencil for the exam*ACTIVIDAD A. Arriba! Readings. (10 points)Choose the correct answer for each of the following questions related to the selected
Ole Miss - SPAN - 101
SPANISH 101 - ORAL EXAM - STUDY GUIDE Fall 2011TEMA 1: Mi primer da de clasesSituation: Students A and B pretend that today is the first day of class.Study pp. 5, 6, 7, 10, 11, 12, 13, 14, 21, 24, 25, 27, 28, 30, 43, 45, 50, 52, 59, 61, 62, 64, 67,79,
Ole Miss - SPAN - 101
The University of MississippiModern Languages DepartmentSpanish 101 Fall 2011Instructors name: John P. CampiglioE-mail: jpc@olemiss.eduOffice: 101 Old AthleticsPhone Number: (662) 915-1943Office hours: Tues./Thur. 1:00 - 2:15 pm, Fri. 3:00 - 4:00,
Auburn - BIOL - 7560
Reproductive Biology of theEndangered Shrub,Fremontodendron californicum subsp. decumbens,and its Conservation ImplicationsRobert BoydDepartment of Biological SciencesAuburn University 3 taxa recognized Species, orsubspeciesFremontodendroncalif
Auburn - BIOL - 7560
Ecology Letters, (2008) 11: 2434doi: 10.1111/j.1461-0248.2007.01123.xLETTERShared signals alarm calls from plants increaseapparency to herbivores and their enemies in natureRayko Halitschke,1 Johan A.Stenberg,2 Danny Kessler,3 AndreKessler1 and Ian
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PollinationPollination Defn: transfer pollen from stamen to stigmaCarpel alsocalled pistil Sporic meiosis:Life Cycle Gametophytes make gametes BY MITOSIS Zygote grows into diploid sporophyte Sporophyte makes meiospores BY MEIOSIS Two bodies/one
Auburn - BIOL - 7560
Ecology, 90(9), 2009, pp. 23932404 2009 by the Ecological Society of AmericaCardenolides, induced responses, and interactions betweenabove- and belowground herbivores of milkweed (Asclepias spp.)SERGIO RASMANN,1 ANURAG A. AGRAWAL, SUSAN C. COOK,ANDA
Auburn - COMP - 2710
Lecture: Lab 3 - getColumnHow to convert a one-dimentional array into a two-dimentional array?Char plain[MAX_PLAIN];Char newPlain[MAX_ROW][MAX_COL];max_row = ceil(plain.length / key.length);for (i = 0; i &lt; max_row*key.length; i+) cfw_j = i/key.lengt
Auburn - COMP - 2710
Auburn - COMP - 2710
Differences between Java and C+:Kind of *bleh* differences:1) C+ code is compiled, whereas Java bye-code is interpreted via the Java VirtualMachine-implications: C+ code is not transferable between machines and because of a lack ofstandardization, ma
Auburn - COMP - 2710
COMP 2710 SoftwareConstructionDr. Xiao QinAuburn Universityhttp:/www.eng.auburn.edu/~xqinxqin@auburn.eduFall, 2011About Me Undergraduate Student at Huazhong University of Scienceand Technology, (1996) Senior Design Project: Real-Time Disk Schedu
Auburn - COMP - 2710
COMP 2710 SoftwareConstructionDr. Xiao QinAuburn Universityhttp:/www.eng.auburn.edu/~xqinxqin@auburn.eduFall, 2011What will you get out of COMP2710? Analyze problems to determine systemrequirements Develop object-oriented software designs that m
Auburn - COMP - 2710
COMP 2710 SoftwareConstructionProgramming EnvironmentC+ Basics 2: VariablesDr. Xiao QinAuburn Universityhttp:/www.eng.auburn.edu/~xqinxqin@auburn.eduFall, 2011These slides are adapted from notes by Dr. Walter Savitch (UCSD)Text Editors Choose a
Auburn - COMP - 2710
COMP 2710 SoftwareConstructionC+ Basics 2: Variables and cin/coutDr. Xiao QinAuburn Universityhttp:/www.eng.auburn.edu/~xqinxqin@auburn.eduFall, 2011These slides are adapted from notes by Dr. Walter Savitch (UCSD)Declare a Variable A variable mu
Auburn - COMP - 2710
COMP 2710 SoftwareConstructionHow to debug programsFlow of ControlDr. Xiao QinAuburn Universityhttp:/www.eng.auburn.edu/~xqinxqin@auburn.eduFall, 2011Some slides are adapted from notes by Dr. Walter Savitch (UCSD)Homework 1 A case study How to
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COMP 2710 SoftwareConstructionFile I/O (1)Dr. Xiao QinAuburn Universityhttp:/www.eng.auburn.edu/~xqinxqin@auburn.eduFall, 2011These slides are adapted from notes by Dr. Walter Savitch(UCSD)Introduction Streams Special objects Deliver program
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COMP 2710 SoftwareConstructionArraysDr. Xiao QinAuburn Universityhttp:/www.eng.auburn.edu/~xqinxqin@auburn.eduFall, 2011These slides are adapted from notes by Dr. Walter Savitch(UCSD)Explain the Following Array ProgramWhat is theoutput?5-2Ar