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14 Pages

### lecture08_handout

Course: PHYS 101, Fall 2008
School: University of Illinois,...
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101: Physics Lecture 08 Exam 2 Circular Motion and Centripetal Acceleration l Todays lecture will cover Chapter 5 Physics 101: Lecture 8, Pg 1 Circular Motion Act B A C A ball is going around in a circle attached to a string. If the string breaks at the instant shown, which path will the ball follow? Physics 101: Lecture 8, Pg 2 16 Acceleration in Uniform Circular Motion v2 R R v1 v v2 v1 v2 a= R...

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Coursehero >> Illinois >> University of Illinois, Urbana Champaign >> PHYS 101

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101: Physics Lecture 08 Exam 2 Circular Motion and Centripetal Acceleration l Todays lecture will cover Chapter 5 Physics 101: Lecture 8, Pg 1 Circular Motion Act B A C A ball is going around in a circle attached to a string. If the string breaks at the instant shown, which path will the ball follow? Physics 101: Lecture 8, Pg 2 16 Acceleration in Uniform Circular Motion v2 R R v1 v v2 v1 v2 a= R centripetal acceleration aave= v / t Acceleration inward Acceleration is due to________________________ __________________________________________. Physics 101: Lecture 8, Pg 3 20 ACT Consider the following situation: You are driving a car with constant speed around a horizontal circular track. On a piece of paper, draw a Free Body Diagram (FBD) for the car. How many forces are acting on the car? A) 1 B) 2 C) 3 D) 4 E) 5 The net force on the car is A. Zero B. Pointing radially inward C. Pointing radially outward Physics 101: Lecture 8, Pg 4 25 ACT Suppose you are driving through a valley whose bottom has a circular shape. If your mass is m, what is the magnitude of the normal force FN exerted on you by the car seat as you drive past the bottom of the hill A. FN < mg B. FN = mg C. FN > mg R v Physics 101: Lecture 8, Pg 5 33 Roller Coaster Example What is the minimum speed you must have at the top of a 20 meter roller coaster loop, to keep the wheels on the track. Y Direction: F = ma Physics 101: Lecture 8, Pg 6 37 Circular Motion l Angular displacement = 2-1 How far it has rotated Angular velocity = /t How fast it is rotating Units radians/second 2 = 1 revolution Period =1/frequency T = 1/f = 2 / Time to complete 1 revolution 101: Lecture 8, Pg 7 Physics l l 10 Circular to Linear l Displacement l Speed s = r ( in radians) |v| = s/t = r /t = r of v is tangent to circle l Direction Physics 101: Lecture 8, Pg 8 13 Merry-Go-Round ACT l Bonnie sits on the outer rim of merry-go-round a with radius 3 meters, and Klyde sits midway between the center and the rim. The merry-go-round makes one complete revolution every two seconds. Klyde Bonnie Klydes speed is: (a) the same as Bonnies (b) twice Bonnies (c) half Bonnies Physics 101: Lecture 8, Pg 9 Merry-Go-Round ACT II l Bonnie sits on the outer rim of a merry-go-round, and Klyde sits midway between the center and the rim. The merry-goround makes one complete revolution every two seconds. Klydes angular velocity is: Klyde Bonnie (a) the same as Bonnies (b) twice Bonnies (c) half Bonnies Physics 101: Lecture 8, Pg 10 Angular Acceleration l Angular acceleration is the change in angular velocity divided by the change in time. l If the speed of a roller coaster car is 15 m/s at the top of a 20 m loop, and 25 m/s at the bottom. What is the cars average angular acceleration if it takes 1.6 seconds to go from the top to the bottom? f 0 t Physics 101: Lecture 8, Pg 11 41 Summary (with comparison to 1-D kinematics) Angular = constant Linear a = constant = 0 + t 1 2 = 0 + 0 t + t 2 v = v 0 + at x = x0 + v 0 t + 1 2 at 2 And for a point at...

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University of Illinois, Urbana Champaign - PHYS - 101
Exam IIIPhysics 101: Lecture 21 WavesTodays lecture will cover Textbook Chapter 11Physics 101: Lecture 21, Pg 1Waves OverviewTypes Speed Harmonic Superposition StandingPhysics 101: Lecture 21, Pg 2Types of WavesTransverse: The medium osci
University of Illinois, Urbana Champaign - PHYS - 101
FinalPhysics 101: Lecture 28 Thermodynamics IITodays lecture will cover Textbook Chapter 15.6-15.9Physics 101: Lecture 28, Pg 1Recap:1st Law of Thermodynamics energy conservationQ = U + WWork done by system Increase in internal energy of sy
University of Illinois, Urbana Champaign - PHYS - 101
Exam IIIPhysics 101: Lecture 19 Elasticity and OscillationsTodays lecture will cover Textbook Chapter 10.1-10.6Physics 101: Lecture 19, Pg 1ReviewSpringsRestoring force proportional to displacement F = -k x U = k x2TodayYoungs Modulus Si
University of Illinois, Urbana Champaign - PHYS - 101
Physics 101: Lecture 06Exam ITwo Dimensional DynamicsTodays lecture will cover Textbook Chapter 4Physics 101: Lecture 6, Pg 1Brief Review Thus Far Newtons Laws of motion Kinematics Dynamics Today we work in 2 Dimensions!Physics 101: Lectur
University of Illinois, Urbana Champaign - PHYS - 101
Physics 101: Lecture 02Exam IForces: Equilibrium ExamplesTodays lecture will cover Textbook Sections 2.1-2.7Physics 101: Lecture 2, Pg 1OverviewLast WeekNewtons Laws of Motion Inertia F=ma PairsFree Body Diagrams Draw coordinate axi
University of Illinois, Urbana Champaign - PHYS - 101
Exam IIIPhysics 101: Lecture 15 Rolling ObjectsTodays lecture will cover Textbook Chapter 8.5-8.7 Exam Monday 7:00, Conflict 5:15 in 151 Everitt Review Session Sunday 3:00 141 LoomisPhysics 101: Lecture 15, Pg 1OverviewReviewKrotation = I 2
University of Illinois, Urbana Champaign - PHYS - 101
Exam II Physics 101: Lecture 11 Momentum and ImpulseTodays lecture will cover Textbook Sections 7.1-7.5Physics 101: Lecture 11, Pg 1Key IdeasLast Time: Work-EnergyF=ma multiply both sides by d F d= m a d (note a d = v2) F d= m v2 W = KE D
University of Illinois, Urbana Champaign - PHYS - 101
FinalPhysics 101: Lecture 26 Conduction, Convection+RadiationTodays lecture will cover Textbook Chapter 14.4-14.9Physics 101: Lecture 26, Pg 1ReviewHeat is FLOW of energyFlow of energy may increase temperatureSpecific Heatt = Q / (c m)L
University of Illinois, Urbana Champaign - PHYS - 101
Example: Block w/ frictionlA block is sliding on a surface with an initial speed of 5 m/s. If the coefficent of kinetic friction between the block and table is 0.4, how far does the block travel before stopping? yx5 m/sWork by Variable Force
University of Illinois, Urbana Champaign - PHYS - 101
Exam IIIPhysics 101: Lecture 17 Fluidsl Todayslecture will cover Textbook Chapter9.1-9.6Physics 101: Lecture 17, Pg 1Overviewl F=ma = Change in Kinetic Energy = Change in momentuml Fx l Ft l =Il odaylook at application of these
University of Illinois, Urbana Champaign - PHYS - 101
Exam IIPhysics 101: Lecture 12 Collisions and ExplosionsTodays lecture will cover Textbook Sections 7.5 - 7.8Physics 101: Lecture 12, Pg 1Overview of SemesterNewtons Laws F=ma Work-Energy F=ma multiply both sides by d W = KE Energy is conser
University of Illinois, Urbana Champaign - PHYS - 101
Exam IIPhysics 101: Lecture 14 Torque and EquilibriumTodays lecture will cover Textbook Chapter 8.2-8.4Physics 101: Lecture 14, Pg 1TorqueRotational effect of force. Tells how effective force is at twisting or rotating an object. = +- r Fper
University of Illinois, Urbana Champaign - PHYS - 101
Physics 101: Lecture 05Exam IFree Fall and Apparent WeightTodays lecture will cover Textbook Chapter 4Physics 101: Lecture 5, Pg 1Review from Lecture 4 Constant Acceleration Equations of Motionx = x0 + v0t + 1/2 at2 v = v0 + at v2 = v02 +
University of Illinois, Urbana Champaign - PHYS - 101
Exam IIIPhysics 101: Lecture 18 Fluids IITodays lecture will cover Textbook Chapter 9.7-9.11Physics 101: Lecture 18, Pg 1Review Static FluidsPressure is force exerted by molecules bouncing off container P = F/A Gravity/weight effects pressure
University of Illinois, Urbana Champaign - PHYS - 101
Physics 101: Lecture 04Exam IKinematics + DynamicsTodays lecture will cover Textbook Chapter 4Physics 101: Lecture 4, Pg 1ReviewKinematics : Description of Motion position displacement Velocity v = x / t average instantaneousAcceleratio
University of Illinois, Urbana Champaign - PHYS - 102
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 10Faradays LawChanging Magnetic Fields create Electric Fields Todays lecture will cover Textbook Sections 20.1, 3-4Physics 102: Lecture 10, Slide 1Faradays Law Key to EVERYTHING in E+M Generating electricity Microp
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 21 Diffraction, Gratings, Resolving Power Textbook sections 25.5-9Physics 102: Lecture 21, Slide1Recall Interference (at least 2 coherent waves) Constructive (full wavelength difference) Destructive ( wavelength differenc
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 22Blackbody Radiation, Photoelectric Effect, Wave-Particle Duality Todays Lecture will cover textbook sections 27.2-3, 28.1Physics 102: Lecture 22, Slide 1Everything comes ungluedThe predictions of classical physics (Newt
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 14Resonance Electromagnetic Waves Todays lecture will cover Textbook Sections 21.6, 22.1, 4-5, 9Physics 102: Lecture 14, Slide 1Review: Impedance Triangle and ResonanceImaxXLVmax,gen = Imax ZZ(XL-XC)x ,ma V ge n
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 20 Interference Todays Lecture will cover textbook sections 25.1, 3-4Physics 102: Lecture 20, Slide 1SuperpositionConstructive Interference+1 -1t+In Phase t+1-1+2t-2Physics 102: Lecture 20, Slide 2Superpos
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 02Coulombs Law and Electric Fields Todays lecture will cover Textbook Sections 16.3-6Physics 102: Lecture 2, Slide 1Recall Coulombs Law Magnitude of the force between charges q1 and q2 separated a distance r: F = k q1q2/r
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 05Circuits and Ohms Law Todays lecture will cover Textbook sections 18.4,.6, 8Practice exams available on course webpage under Course InfoHomework, keep lots of digits!Physics 102: Lecture 5, Slide 1Last Time Capacitors
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 23De Broglie Waves, Uncertainty, and Atoms Todays Lecture will cover textbook sections 27.5, 28.2, 4Physics 102: Lecture 23, Slide 1Compton ScatteringThis experiment really shows photon momentum! Pincoming photon + 0 = Pou
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 26X-rays Todays Lecture will cover Section 27.4Make sure your grade book entries are correct.Physics 102: Lecture 26, Slide 1X-RaysPhotons with energy in approx range 100eV to 100,000eV. This large energy means they go
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 16Introduction to Mirrors Todays lecture will cover Textbook Sections 23.1-2, 7-8Physics 102: Lecture 16, Slide 1Light incident on an object Absorption Reflection (bounces)* See it Mirrors Refraction (bends) Lenses
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 28Special Relativity Todays Lecture will cover chapter 26.1 26.7 Take a look at Special Relativity in 14 Easy (Hyper)lessons:http:/web.hep.uiuc.edu/home/g-gollin/relativity/Make sure your grade book entries are correct Br
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 08Magnetism Todays lecture will cover Textbook Sections 19.1- 4Physics 102: Lecture 8, Slide 1Magnets are Cool! North Pole and South Pole Opposites Attract Likes Repel+ Magnetic Field Lines Arrows give direction De
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 18 Total Internal Reflection, Brewsters Angle, Dispersion, Lenses Todays Lecture will cover textbook sections 23.3-5, 9Physics 102: Lecture 18, Slide 1Total Internal ReflectionRecall Snells Law: n1 sin(1)= n2 sin(2) (n1 &gt; n
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 3 Electric Potential Todays lecture will cover Textbook Sections 17.1 - 3Honors Credit info on web under course description.Physics 102: Lecture 3, Slide 1Overview for Todays Lecture Electric Potential Energy/ Work Unifor
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 7RC Circuits Textbook Section 18.10-11Physics 102: Lecture 7, Slide 1Combine R+C Circuits Gives time dependence Current is not constant I(t) Charge is not constant q(t) Used for timing Pacemaker Intermittent windshi
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 04Capacitors! Todays lecture will cover Textbook Sections 17.5-6, 18.1-2, 6Physics 102: Lecture 4, Slide 1Capacitance: The ability to store separated charge C=Q/VCharge Q on plates V = VA VB = +E0 d+ + +A + + d B E=E0 -
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 15Electromagnetic Waves and Polarization Todays lecture will cover Textbook Sections 22.7-8Physics 102: Lecture 15, Slide 1Preflight 15.1, 15.2Which orientation will have the largest induced emf? Hint: Loops use B not E.
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 13AC Circuit Phasors Todays lecture will cover Textbook Section 21.5 I = Imaxsin(2ft) VR = ImaxR sin(2ft) VC = ImaxXC sin(2ft-/2) VL = ImaxXL sin(2ft+ /2)Physics 102: Lecture 13, Slide 1L RCA reminder about sines an
University of Illinois, Urbana Champaign - PHYS - 102
Welcome to Physics 102! Electricity + Magnetism Optics Atomic Physics Nuclear Physics Relativityhttp:/online.physics.uiuc.edu/courses/phys102/Physics 102: Lecture 1, Slide 11Meet the Lecturer Tim Stelzer Research t-stelzer@uiuc.edu El
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 17Reflection and Refraction of Light Todays Lecture will cover textbook sections 23.3, 8Physics 102: Lecture 17, Slide 1OverviewLast TimeReflection: i = rFlat Mirror: image equidistant behind Spherical Mirrors: Concave
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 11Generators and Transformers Todays lecture will cover Textbook Sections 20.2, 6Physics 102: Lecture 11, Slide 1Review: Two uses of RHRs Force on moving charge in Magnetic field Thumb: v (or I) Fingers: B Palm: F on +
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 24 Bohr vs. Correct Model of AtomTodays Lecture will cover Sections 27.67, 28.6Physics 102: Lecture 24, Slide 1Science fictionThe Bohr model is complete nonsense. Electrons do not circle the nucleus in little planetlike orb
University of Illinois, Urbana Champaign - PHYS - 102
Tutors, Spring 2009 Physics Department - University of IllinoisName Dan Carson Phone cell - 847 997-7415 Courses 101 - 212 Fee \$10/hr Net ID ) dcarson2 Qualifications junior in specialized physics curriculum, 3.88 GPA, received an A in every physics
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 09Currents and Magnetism Todays lecture will cover Textbook Sections 19.6-8Physics 102: Lecture 9, Slide 1Force of B-field on Current Force on 1 moving charge: F = q v B sin() Out of the page (RHR) +v Force on many
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102Hour Exam 3 Formula SheetSpring 2005B=N 0 I 2RF = maF= k q1q2 2 rCP = C1 + C2 + .1 1 1 = + + . CS C 1 C 2I= q tB = 0 nIk=1 4 0 F q0kq 2 rE = vBL = BA cos E=V = IRR= L A E = N tE=P = IVP = I 2R = V R2E =
University of Illinois, Urbana Champaign - PHYS - 102
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102Hour Exam 1 Formula Sheet Energy = 1 1 q2 qV = CV 2 = 2 2 2CSpring 2005F = maF= k q1q2 2 rk=1 4 01 Energy density = 0 E 2 2CP = C1 + C2 + .1 1 1 = + + . CS C 1 C 2I= q tk = 8.99 109 Nm2 / C2 0 = 8.85 1012 C 2 / Nm 2e
University of Illinois, Urbana Champaign - PHYS - 102
Physics 102: Lecture 25Periodic Table, Atomic Structure Today's Lecture will cover Section 30.6Make sure your grade book entries are correct.Physics 102: Lecture 25, Slide 1Quantum NumbersEach electron in an atom is labeled by 4 #'s n = Prin
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100 Final Exam Times and Locations Wednesday, October 29 Adams Tuesday Discussion Sections Sections D2G, D2H, and D2S Mechanical Engineering Building Room 253 7-8:30 pm Alexs Wednesday Discussion Sections Sections D3G, D3H, D3N, and D3P
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Worked ExamplesWeek 03 2D KinematicsSubmarine AnticsA submarine is travelling due East (course 090) at 10 m/s (20 knots). The sub is at a depth of 200 meters (about 660 ft). In an unusual maneuver, the captain orders the ballast tanks
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100: Lecture 4PROJECTILE MOTIONv0y(m) 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 5 x(m) 10 15Velocity of Train vTy = (v0/vT) x (g/2vT2)x2MusicWho is the Artist? A) B) C) D) E) Sarah Vaughn Billie Holiday Dinah Washington Nina Simone Ella Fitzgeral
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Discussion Session 7 Friction and Uniform Circular MotionWeek 08The PlanToday we continue to practice Newtons Laws, but this time we have introduced a new force friction. Static friction is a constraint force that is just enough to kee
University of Illinois, Urbana Champaign - PHYS - 100
DQ1) Two cannon balls, each with mass 20 kg, are fired from ground level over a flat plateau. Ball A is fired with an initial speed of 250 m/s at an angle of 30 degrees from the horizontal, and Ball B is fired from the same spot with an initial speed
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Discussion Session 8 Springs and Universal GravitationWeek 09The PlanThis week your group will practice analyzing Newtons Law problems involving springs. Youll continue to use Newtons Second Law to relate the forces on an object and it
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Worked ExamplesWeek 08 Universal Gravitation + SpringsSpring Loading5 kg2 kg 1m A hanging block of mass 2 kg is connected by a string threaded through a pulley to a larger block of mass 5 kg sitting on a table. The larger mass is con
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Worked ExamplesWeek 06 Newtons LawsTied Up BlockA block of mass 2 kg sits on a frictionless ramp and is tied to the wall with a string as shown. The string is horizontal and tied to the center of the block. If the ramp is inclined at 2
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Worked ExamplesWeek 02 Constant Acceleration + Relative MotionPlanes, Trains, and AutomobilesAn engineer drives a train traveling 80 km/hr eastward. A car drives eastward at 60 km/hr on a road parallel to the tracks. A plane flies over
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100: Lecture 2Motion at Constant Accelerationa a0 Area = a0t ttv = v-v0a0 tv0A=(1/2)(v)t Area = v0t ttv0 tv = adt0v v0 = a0tx = vdt0x x0 = v0t + 1 a0t 2 2Relative Motion: Reference Framesx Tortoise d Achilles t Ref
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Worked ExamplesWeek 07 Friction + Uniform Circular MotionCircular HillA car is driving over a semi-circular hill of radius R. What is the fastest the car can drive over the top of the hill without its tires lifting off of the ground?
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100: Lecture 3VECTORSCj iC ABC = A+ BByj Bxi AyjCx = Ax + Bx Cy = Ay + ByAxiRELATIVE MOTION in 2-DvW vS vW vS v SG WvSG = vS + vWMusicWho is the Artist? A) B) C) D) E) Miles Davis Wynton Marsalis Chris Botti Nina Simone C
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Worked ExampleWeek 01: Kinematic Defns.Lost Cell PhoneAfter physics class, Amlia waits at the light on Goodwin and Green talking to a friend for 1 minute. Once the light turns green, she walks westward at roughly constant speed for 2 m
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Equations as Physical RelationshipsWeek 00Symbol Conventions in Physics In your group activities today youll be creating symbols and equations to describe relationships in the physical world. Before you practice, you should be aware of
University of Illinois, Urbana Champaign - PHYS - 100
PHYS 100Worked ExamplesWeek 04 Projectile MotionThe Empires at it AgainThe Empire has managed to build yet another monster Death Star, a spherical space station the size of a moon. A Rebel Alliance X-wing fighter is trying to take it out by dr
University of Illinois, Urbana Champaign - PHYS - 100
Formula SheetDefinitionsx dx v = dt 2 dv Acceleration a = dt = d x dt 2Position VelocityConstants and Conversionsg = 9. 81m s2= 32ft s22i G = 6.67 1011 Nkgm 21 mile = 1. 609 kmConstant Accelerationv = v0 + at x = x0 +v0t + 1 at 2
University of Illinois, Urbana Champaign - PHYS - 100
University of IllinoisPhysics 100Thinking about Physicsv FEmoonREREmoong=GME RE2amoon =GME REmoon2Fall 2008Gary GladdingiCopyright 2008 Gary GladdingPrinted by STIPES PUBLISHING COMPANY 204 West University Avenue, Champaign,