The Electric Potential Energy
|
|
- Andrea Blake
- 5 years ago
- Views:
Transcription
1 Lecture 6 Chapter 28 Phyic II The Electric Potential Energy Coure webite:
2 New Idea So ar, we ued vector quantitie: 1. Electric Force (F) Depreed! 2. Electric Field (E) But, a you know, it i not eay to deal with vector Idea!!!! Let introduce calar quantitie intead o FORCE and FIELD
3 i Gravitation initial 0 + mgy i Electrotatic i Electric ield mg inal 0 + mgy 0 =0 (Reerence Level) Thi all can be decribed uing a gravitational orce (vector quantity), which decribe an interaction between the Earth and a cat. Since the gravitational orce i a conervative orce, a gravitational potential energy (calar quantity) can be introduced. F grav mg grav mgy So the all can be alo decribed uing the conervation o mechanical energy W K i i = K K W - the work done by F g imilar G qe 0 qe Since F e ha the ame orm a F G which i conervative, then F e i alo conervative. And, a a reult, the electric potential energy can be introduced r k r Let derive thee electric potential energy expreion The cae o two point charge k
4 Potential energy i an energy o interaction, o there mut be at leat two interacting electric object.
5 Potential energy o q in a uniorm electric ield (in a capacitor)
6 Potential energy o q in a uniorm electric ield The work done on q i: F E d q 0 i Conider a poitive charge q inide a capacitor. It peed up a it all toward the negative plate. There i a contant orce F qe toward the negative plate W F d i 0 q E d q i E Recall rom Phyic I qe i Ed qe W i d K qe i i qe i i qe qe To get the mot general expreion, let introduce 0, which i a potential energy at the reerence point =0 i 0 qe 0 qe i Electric potential energy (the interaction energy) o charge q and a charged capacitor i
7 Potential energy o a poitive charge, +q i q 0 ( poitive charge), in which direction doe increae? 0 qe It i convenient to chooe the potential energy at the reerence point 0 0 near plate near plate plate qe plate lower PE higher PE I +q move in the direction o E, then I we ue the Conervation o energy We will get W K 0 K plate K 0 K plate 0 0 E K I q i releaed
8 i q near plate Potential energy o a poitive charge, -q 0 ( negative charge), in which direction doe increae? near plate plate plate q E higher PE (le negative) lower PE (more negative) I -q move in the direction oppoite o E, then I we ue the Conervation o energy We will get W K 0 K K plate K plate 0 0 E K So, intead o orce, PE can be ued to analyze motion. 0 I q i releaed
9 ConcepTet Potential energy 2 Two poitive charge are equal. Which ha more electric potential energy? A) Charge A B) Charge B C) They have the ame potential energy D) Both have zero potential energy qe
10 ConcepTet Potential energy 1 Two negative charge are equal. Which ha more electric potential energy? A) Charge A B) Charge B C) They have the ame potential energy D) Both have zero potential energy q E
11 ConcepTet Potential energy A poitive charge move a hown. It kinetic energy A) Increae. B) Remain contant. C) Decreae. qe increae 0 K 0 decreae K
12 Potential energy o two point charge
13 The potential energy o two point charge Thi i explicitly the energy o the ytem, not the energy o jut q or Q. Note that the potential energy o two charged particle approache zero a r.
14 ConcepTet Potential energy A poitive and a negative charge are releaed rom ret in vacuum. They move toward each other. A they do: A) A poitive potential energy become more poitive. B) A poitive potential energy become le poitive. C) A negative potential energy become more negative. D) A negative potential energy become le negative. E) A poitive potential energy become a negative potential energy.
15 Example 28.2
16 What you hould read Chapter 28 (Knight) Section
17 Thank you See you on Tueday
The Electric Potential Energy
Lecture 6 Chapter 25 The Electric Potential Energy Course website: http://aculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 25: Section 25.1 Electric Potential Energy
More informationThe Electric. Potential Energy
Lecture 7 Chapter 25 The Electric Ok, let s move to scalar quantities. Potential Energy I am sick and tired o your orces, ields!!! Course website: http://aculty.uml.edu/andriy_danylov/teaching/physicsii
More informationElastic Collisions Definition Examples Work and Energy Definition of work Examples. Physics 201: Lecture 10, Pg 1
Phyic 131: Lecture Today Agenda Elatic Colliion Definition i i Example Work and Energy Definition of work Example Phyic 201: Lecture 10, Pg 1 Elatic Colliion During an inelatic colliion of two object,
More information( kg) (410 m/s) 0 m/s J. W mv mv m v v. 4 mv
PHYS : Solution to Chapter 6 Home ork. RASONING a. The work done by the gravitational orce i given by quation 6. a = (F co θ). The gravitational orce point downward, oppoite to the upward vertical diplacement
More informationLinear Motion, Speed & Velocity
Add Important Linear Motion, Speed & Velocity Page: 136 Linear Motion, Speed & Velocity NGSS Standard: N/A MA Curriculum Framework (006): 1.1, 1. AP Phyic 1 Learning Objective: 3.A.1.1, 3.A.1.3 Knowledge/Undertanding
More informationPhysics 2212 G Quiz #2 Solutions Spring 2018
Phyic 2212 G Quiz #2 Solution Spring 2018 I. (16 point) A hollow inulating phere ha uniform volume charge denity ρ, inner radiu R, and outer radiu 3R. Find the magnitude of the electric field at a ditance
More informationNewton s Laws & Inclined Planes
GP: ewton Law & Inclined Plane Phyic Mcutt Date: Period: ewton Law & Inclined Plane The ormal orce, Static and Kinetic rictional orce The normal orce i the perpendicular orce that a urace exert on an object.
More informationChapter 9 Review. Block: Date:
Science 10 Chapter 9 Review Name: KEY Block: Date: 1. A change in velocity occur when the peed o an object change, or it direction o motion change, or both. Thee change in velocity can either be poitive
More informationImpulse. calculate the impulse given to an object calculate the change in momentum as the result of an impulse
Add Important Impule Page: 386 Note/Cue Here NGSS Standard: N/A Impule MA Curriculum Framework (2006): 2.5 AP Phyic 1 Learning Objective: 3.D.2.1, 3.D.2.2, 3.D.2.3, 3.D.2.4, 4.B.2.1, 4.B.2.2 Knowledge/Undertanding
More information2008 Physics Bowl Solutions
8 Phyic Bowl Solution # An # An # An # An # An E A C D 4 E B B A B 4 D C D C E 4 A 4 D 4 B 4 D 4 B 44 A 5 C 5 D 5 E 5 A 45 E 6 A 6 D 6 C 6 C 46 B 7 E 7 E 7 D 7 E 47 C 8 A 8 A 8 B 8 A 48 C 9 B 9 B 9 C 9
More informationDYNAMICS OF ROTATIONAL MOTION
DYNAMICS OF ROTATIONAL MOTION 10 10.9. IDENTIFY: Apply I. rad/rev SET UP: 0 0. (400 rev/min) 419 rad/ 60 /min EXECUTE: 0 419 rad/ I I (0 kg m ) 11 N m. t 800 EVALUATE: In I, mut be in rad/. 10.. IDENTIFY:
More informationPhysics 6A. Angular Momentum. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Phyic 6A Angular Momentum For Campu earning Angular Momentum Thi i the rotational equivalent of linear momentum. t quantifie the momentum of a rotating object, or ytem of object. f we imply tranlate the
More informationChapter 19. Capacitors, Resistors and Batteries
Chapter 19 Capacitor, Reitor and Batterie Capacitor: Charging and Dicharging Experiment 1 Experiment 2 Capacitor: Contruction and Symbol The capacitor in your et i imilar to a large two-dik capacitor D
More informationPhysics 2. Angular Momentum. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Phyic Angular Momentum For Campu earning Angular Momentum Thi i the rotational equivalent of linear momentum. t quantifie the momentum of a rotating object, or ytem of object. To get the angular momentum,
More informationPHYS 110B - HW #2 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased
PHYS 11B - HW # Spring 4, Solution by David Pace Any referenced equation are from Griffith Problem tatement are paraphraed [1.] Problem 7. from Griffith A capacitor capacitance, C i charged to potential
More informationAP Physics Charge Wrap up
AP Phyic Charge Wrap up Quite a few complicated euation for you to play with in thi unit. Here them babie i: F 1 4 0 1 r Thi i good old Coulomb law. You ue it to calculate the force exerted 1 by two charge
More information3. In an interaction between two objects, each object exerts a force on the other. These forces are equal in magnitude and opposite in direction.
Lecture quiz toda. Small change to webite. Problem 4.30 the peed o the elevator i poitive even though it i decending. The WebAign anwer i wrong. ewton Law o Motion (page 9-99) 1. An object velocit vector
More informationElectrodynamics Part 1 12 Lectures
NASSP Honour - Electrodynamic Firt Semeter 2014 Electrodynamic Part 1 12 Lecture Prof. J.P.S. Rah Univerity of KwaZulu-Natal rah@ukzn.ac.za 1 Coure Summary Aim: To provide a foundation in electrodynamic,
More informationLecture 17: Analytic Functions and Integrals (See Chapter 14 in Boas)
Lecture 7: Analytic Function and Integral (See Chapter 4 in Boa) Thi i a good point to take a brief detour and expand on our previou dicuion of complex variable and complex function of complex variable.
More informationa = f s,max /m = s g. 4. We first analyze the forces on the pig of mass m. The incline angle is.
Chapter 6 1. The greatet deceleration (of magnitude a) i provided by the maximum friction force (Eq. 6-1, with = mg in thi cae). Uing ewton econd law, we find a = f,max /m = g. Eq. -16 then give the hortet
More informationLinear Momentum. calculate the momentum of an object solve problems involving the conservation of momentum. Labs, Activities & Demonstrations:
Add Important Linear Momentum Page: 369 Note/Cue Here NGSS Standard: HS-PS2-2 Linear Momentum MA Curriculum Framework (2006): 2.5 AP Phyic 1 Learning Objective: 3.D.1.1, 3.D.2.1, 3.D.2.2, 3.D.2.3, 3.D.2.4,
More informationHalliday/Resnick/Walker 7e Chapter 6
HRW 7e Chapter 6 Page of Halliday/Renick/Walker 7e Chapter 6 3. We do not conider the poibility that the bureau might tip, and treat thi a a purely horizontal motion problem (with the peron puh F in the
More informationPHYS 110B - HW #6 Spring 2004, Solutions by David Pace Any referenced equations are from Griffiths Problem statements are paraphrased
PHYS B - HW #6 Spring 4, Solution by David Pace Any referenced equation are from Griffith Problem tatement are paraphraed. Problem. from Griffith Show that the following, A µo ɛ o A V + A ρ ɛ o Eq..4 A
More information4-4 E-field Calculations using Coulomb s Law
1/21/24 ection 4_4 -field calculation uing Coulomb Law blank.doc 1/1 4-4 -field Calculation uing Coulomb Law Reading Aignment: pp. 9-98 1. xample: The Uniform, Infinite Line Charge 2. xample: The Uniform
More informationCorrection for Simple System Example and Notes on Laplace Transforms / Deviation Variables ECHE 550 Fall 2002
Correction for Simple Sytem Example and Note on Laplace Tranform / Deviation Variable ECHE 55 Fall 22 Conider a tank draining from an initial height of h o at time t =. With no flow into the tank (F in
More informationROUTH HURWITZ ANALYSIS
ROUTH HURWITZ ANALYSIS The Routh Hurwitz analyi tell you how many root are located in the a) let-hand plane, ) right-hand plane, and c) on the jω-axi. The technique i illutrated here with an example. The
More informationConstant Force: Projectile Motion
Contant Force: Projectile Motion Abtract In thi lab, you will launch an object with a pecific initial velocity (magnitude and direction) and determine the angle at which the range i a maximum. Other tak,
More informationMath Skills. Scientific Notation. Uncertainty in Measurements. Appendix A5 SKILLS HANDBOOK
ppendix 5 Scientific Notation It i difficult to work with very large or very mall number when they are written in common decimal notation. Uually it i poible to accommodate uch number by changing the SI
More informationMolecular Dynamics Simulations of Nonequilibrium Effects Associated with Thermally Activated Exothermic Reactions
Original Paper orma, 5, 9 7, Molecular Dynamic Simulation of Nonequilibrium Effect ociated with Thermally ctivated Exothermic Reaction Jerzy GORECKI and Joanna Natalia GORECK Intitute of Phyical Chemitry,
More informationt α z t sin60 0, where you should be able to deduce that the angle between! r and! F 1
PART III Problem Problem1 A computer dik tart rotating from ret at contant angular acceleration. If it take 0.750 to complete it econd revolution: a) How long doe it take to complete the firt complete
More informationChapter 5 Consistency, Zero Stability, and the Dahlquist Equivalence Theorem
Chapter 5 Conitency, Zero Stability, and the Dahlquit Equivalence Theorem In Chapter 2 we dicued convergence of numerical method and gave an experimental method for finding the rate of convergence (aka,
More informationMechanics. Free rotational oscillations. LD Physics Leaflets P Measuring with a hand-held stop-clock. Oscillations Torsion pendulum
Mechanic Ocillation Torion pendulum LD Phyic Leaflet P.5.. Free rotational ocillation Meauring with a hand-held top-clock Object of the experiment g Meauring the amplitude of rotational ocillation a function
More informationLecture 15 - Current. A Puzzle... Advanced Section: Image Charge for Spheres. Image Charge for a Grounded Spherical Shell
Lecture 15 - Current Puzzle... Suppoe an infinite grounded conducting plane lie at z = 0. charge q i located at a height h above the conducting plane. Show in three different way that the potential below
More informationtwo equations that govern the motion of the fluid through some medium, like a pipe. These two equations are the
Fluid and Fluid Mechanic Fluid in motion Dynamic Equation of Continuity After having worked on fluid at ret we turn to a moving fluid To decribe a moving fluid we develop two equation that govern the motion
More informationUNIT 15 RELIABILITY EVALUATION OF k-out-of-n AND STANDBY SYSTEMS
UNIT 1 RELIABILITY EVALUATION OF k-out-of-n AND STANDBY SYSTEMS Structure 1.1 Introduction Objective 1.2 Redundancy 1.3 Reliability of k-out-of-n Sytem 1.4 Reliability of Standby Sytem 1. Summary 1.6 Solution/Anwer
More informationPressure distribution in a fluid:
18/01/2016 LECTURE 5 Preure ditribution in a fluid: There are many intance where the fluid i in tationary condition. That i the movement of liquid (or ga) i not involved. Yet, we have to olve ome engineering
More informationWhat Are Newton's Laws of Motion?
Phyic Review What Are Newton' Law of Motion? Intel Corporation or it ubidiarie in the U.S. and other countrie. orce Puh or Pull that act between two bodie Tenion Gravitational force rictional force Air
More informationExample: Amplifier Distortion
4/6/2011 Example Amplifier Ditortion 1/9 Example: Amplifier Ditortion Recall thi circuit from a previou handout: 15.0 R C =5 K v ( t) = v ( t) o R B =5 K β = 100 _ vi( t ) 58. R E =5 K CUS We found that
More informationMidterm Review - Part 1
Honor Phyic Fall, 2016 Midterm Review - Part 1 Name: Mr. Leonard Intruction: Complete the following workheet. SHOW ALL OF YOUR WORK. 1. Determine whether each tatement i True or Fale. If the tatement i
More information1. The F-test for Equality of Two Variances
. The F-tet for Equality of Two Variance Previouly we've learned how to tet whether two population mean are equal, uing data from two independent ample. We can alo tet whether two population variance are
More informationPhysics 741 Graduate Quantum Mechanics 1 Solutions to Final Exam, Fall 2014
Phyic 7 Graduate Quantum Mechanic Solution to inal Eam all 0 Each quetion i worth 5 point with point for each part marked eparately Some poibly ueful formula appear at the end of the tet In four dimenion
More informationKinetics of a Particle: work and energy
Kinetic of a Particle: work and energy Work ha been done by a force on a particle only when the particle undergoe a diplacement in the direction of the force du F d co du Fdr Unit of work: Joule J= Nm
More informationTarzan s Dilemma for Elliptic and Cycloidal Motion
Tarzan Dilemma or Elliptic and Cycloidal Motion Yuji Kajiyama National Intitute o Technology, Yuge College, Shimo-Yuge 000, Yuge, Kamijima, Ehime, 794-593, Japan kajiyama@gen.yuge.ac.jp btract-in thi paper,
More informationFUNDAMENTALS OF POWER SYSTEMS
1 FUNDAMENTALS OF POWER SYSTEMS 1 Chapter FUNDAMENTALS OF POWER SYSTEMS INTRODUCTION The three baic element of electrical engineering are reitor, inductor and capacitor. The reitor conume ohmic or diipative
More informationUnit I Review Worksheet Key
Unit I Review Workheet Key 1. Which of the following tatement about vector and calar are TRUE? Anwer: CD a. Fale - Thi would never be the cae. Vector imply are direction-conciou, path-independent quantitie
More informations much time does it take for the dog to run a distance of 10.0m
ATTENTION: All Diviion I tudent, START HERE. All Diviion II tudent kip the firt 0 quetion, begin on #.. Of the following, which quantity i a vector? Energy (B) Ma Average peed (D) Temperature (E) Linear
More informationConvex Hulls of Curves Sam Burton
Convex Hull of Curve Sam Burton 1 Introduction Thi paper will primarily be concerned with determining the face of convex hull of curve of the form C = {(t, t a, t b ) t [ 1, 1]}, a < b N in R 3. We hall
More informationPhysics Exam 3 Formulas
Phyic 10411 Exam III November 20, 2009 INSTRUCTIONS: Write your NAME on the front of the blue exam booklet. The exam i cloed book, and you may have only pen/pencil and a calculator (no tored equation or
More informationMoment of Inertia of an Equilateral Triangle with Pivot at one Vertex
oment of nertia of an Equilateral Triangle with Pivot at one Vertex There are two wa (at leat) to derive the expreion f an equilateral triangle that i rotated about one vertex, and ll how ou both here.
More informationSource slideplayer.com/fundamentals of Analytical Chemistry, F.J. Holler, S.R.Crouch. Chapter 6: Random Errors in Chemical Analysis
Source lideplayer.com/fundamental of Analytical Chemitry, F.J. Holler, S.R.Crouch Chapter 6: Random Error in Chemical Analyi Random error are preent in every meaurement no matter how careful the experimenter.
More informationSolving Differential Equations by the Laplace Transform and by Numerical Methods
36CH_PHCalter_TechMath_95099 3//007 :8 PM Page Solving Differential Equation by the Laplace Tranform and by Numerical Method OBJECTIVES When you have completed thi chapter, you hould be able to: Find the
More informationIII.9. THE HYSTERESIS CYCLE OF FERROELECTRIC SUBSTANCES
III.9. THE HYSTERESIS CYCLE OF FERROELECTRIC SBSTANCES. Work purpoe The analyi of the behaviour of a ferroelectric ubtance placed in an eternal electric field; the dependence of the electrical polariation
More informationMath 273 Solutions to Review Problems for Exam 1
Math 7 Solution to Review Problem for Exam True or Fale? Circle ONE anwer for each Hint: For effective tudy, explain why if true and give a counterexample if fale (a) T or F : If a b and b c, then a c
More informationME 141. Engineering Mechanics
ME 141 Engineering Mechanic Lecture 14: Plane motion of rigid bodie: Force and acceleration Ahmad Shahedi Shakil Lecturer, Dept. of Mechanical Engg, BUET E-mail: hakil@me.buet.ac.bd, hakil6791@gmail.com
More information9 Lorentz Invariant phase-space
9 Lorentz Invariant phae-space 9. Cro-ection The cattering amplitude M q,q 2,out p, p 2,in i the amplitude for a tate p, p 2 to make a tranition into the tate q,q 2. The tranition probability i the quare
More information3pt3pt 3pt3pt0pt 1.5pt3pt3pt Honors Physics Impulse-Momentum Theorem. Name: Answer Key Mr. Leonard
3pt3pt 3pt3pt0pt 1.5pt3pt3pt Honor Phyic Impule-Momentum Theorem Spring, 2017 Intruction: Complete the following workheet. Show all of you work. Name: Anwer Key Mr. Leonard 1. A 0.500 kg ball i dropped
More informationNCAAPMT Calculus Challenge Challenge #3 Due: October 26, 2011
NCAAPMT Calculu Challenge 011 01 Challenge #3 Due: October 6, 011 A Model of Traffic Flow Everyone ha at ome time been on a multi-lane highway and encountered road contruction that required the traffic
More informationDiscover the answer to this question in this chapter.
Erwan, whoe ma i 65 kg, goe Bungee jumping. He ha been in free-fall for 0 m when the bungee rope begin to tretch. hat will the maximum tretching of the rope be if the rope act like a pring with a 100 N/m
More informationBernoulli s equation may be developed as a special form of the momentum or energy equation.
BERNOULLI S EQUATION Bernoulli equation may be developed a a pecial form of the momentum or energy equation. Here, we will develop it a pecial cae of momentum equation. Conider a teady incompreible flow
More information= 16.7 m. Using constant acceleration kinematics then yields a = v v E The expression for the resistance of a resistor is given as R = ρl 4 )
016 PhyicBowl Solution # An # An # An # An # An 1 C 11 C 1 B 31 E 41 D A 1 B E 3 D 4 B 3 D 13 A 3 C 33 B 43 C 4 D 14 E 4 B 34 C 44 E 5 B 15 B 5 A 35 A 45 D 6 D 16 C 6 C 36 B 46 A 7 E 17 A 7 D 37 E 47 C
More informationBogoliubov Transformation in Classical Mechanics
Bogoliubov Tranformation in Claical Mechanic Canonical Tranformation Suppoe we have a et of complex canonical variable, {a j }, and would like to conider another et of variable, {b }, b b ({a j }). How
More informationGiven the following circuit with unknown initial capacitor voltage v(0): X(s) Immediately, we know that the transfer function H(s) is
EE 4G Note: Chapter 6 Intructor: Cheung More about ZSR and ZIR. Finding unknown initial condition: Given the following circuit with unknown initial capacitor voltage v0: F v0/ / Input xt 0Ω Output yt -
More informationPhysics 111. Exam #3. March 4, 2011
Phyic Exam #3 March 4, 20 Name Multiple Choice /6 Problem # /2 Problem #2 /2 Problem #3 /2 Problem #4 /2 Total /00 PartI:Multiple Choice:Circlethebetanwertoeachquetion.Anyothermark willnotbegivencredit.eachmultiple
More informationORIGINAL ARTICLE Electron Mobility in InP at Low Electric Field Application
International Archive o Applied Science and Technology Volume [] March : 99-4 ISSN: 976-488 Society o Education, India Webite: www.oeagra.com/iaat.htm OIGINAL ATICLE Electron Mobility in InP at Low Electric
More informationv 2,p = v 3,p. The total energy at P is then mv 2 p = 6.68mv 2 p 4.49Gm2 d. (3) P 2 O 3 r o Gm = v2 p d2 P 3
Nordic-Baltic hyic Olympiad 08 Solution GRAVITATIONAL RACING i) a) Since all three bodie move along the ame trajectory, they mut be T 3 away from each other at any moment of time Thu, it take T 3 to get
More informationUnified Design Method for Flexure and Debonding in FRP Retrofitted RC Beams
Unified Deign Method for Flexure and Debonding in FRP Retrofitted RC Beam G.X. Guan, Ph.D. 1 ; and C.J. Burgoyne 2 Abtract Flexural retrofitting of reinforced concrete (RC) beam uing fibre reinforced polymer
More informationPHY 171 Practice Test 3 Solutions Fall 2013
PHY 171 Practice et 3 Solution Fall 013 Q1: [4] In a rare eparatene, And a peculiar quietne, hing One and hing wo Lie at ret, relative to the ground And their wacky hairdo. If hing One freeze in Oxford,
More informationChapter 4. The Laplace Transform Method
Chapter 4. The Laplace Tranform Method The Laplace Tranform i a tranformation, meaning that it change a function into a new function. Actually, it i a linear tranformation, becaue it convert a linear combination
More informationLecture 23 Date:
Lecture 3 Date: 4.4.16 Plane Wave in Free Space and Good Conductor Power and Poynting Vector Wave Propagation in Loy Dielectric Wave propagating in z-direction and having only x-component i given by: E
More informationWhat lies between Δx E, which represents the steam valve, and ΔP M, which is the mechanical power into the synchronous machine?
A 2.0 Introduction In the lat et of note, we developed a model of the peed governing mechanim, which i given below: xˆ K ( Pˆ ˆ) E () In thee note, we want to extend thi model o that it relate the actual
More informationMAE 101A. Homework 3 Solutions 2/5/2018
MAE 101A Homework 3 Solution /5/018 Munon 3.6: What preure gradient along the treamline, /d, i required to accelerate water upward in a vertical pipe at a rate of 30 ft/? What i the anwer if the flow i
More informationEE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject
EE 508 Lecture 6 Filter Tranformation Lowpa to Bandpa Lowpa to Highpa Lowpa to Band-reject Review from Lat Time Theorem: If the perimeter variation and contact reitance are neglected, the tandard deviation
More informationPhysics 20 Lesson 28 Simple Harmonic Motion Dynamics & Energy
Phyic 0 Leon 8 Siple Haronic Motion Dynaic & Energy Now that we hae learned about work and the Law of Coneration of Energy, we are able to look at how thee can be applied to the ae phenoena. In general,
More informationCHAPTER 10 CHEMICAL BONDING II: MOLECULAR GEOMETRY AND HYBRIDIZATION OF ATOMIC ORBITALS
APTER 10 EMIAL BNDING II: MLEULAR GEMETRY AND YBRIDIZATIN ATMI RBITALS 10.7 (a) The Lewi tructure of P 3 i hown below. Since in the VSEPR method the number of bonding pair and lone pair of electron around
More informationName: Answer Key Date: Regents Physics. Energy
Nae: Anwer Key Date: Regent Phyic Tet # 9 Review Energy 1. Ue GUESS ethod and indicate all vector direction.. Ter to know: work, power, energy, conervation of energy, work-energy theore, elatic potential
More informationConservation of Energy
Add Iportant Conervation of Energy Page: 340 Note/Cue Here NGSS Standard: HS-PS3- Conervation of Energy MA Curriculu Fraework (006):.,.,.3 AP Phyic Learning Objective: 3.E.., 3.E.., 3.E..3, 3.E..4, 4.C..,
More informationIEOR 3106: Fall 2013, Professor Whitt Topics for Discussion: Tuesday, November 19 Alternating Renewal Processes and The Renewal Equation
IEOR 316: Fall 213, Profeor Whitt Topic for Dicuion: Tueday, November 19 Alternating Renewal Procee and The Renewal Equation 1 Alternating Renewal Procee An alternating renewal proce alternate between
More informationTechnical Appendix: Auxiliary Results and Proofs
A Technical Appendix: Auxiliary Reult and Proof Lemma A. The following propertie hold for q (j) = F r [c + ( ( )) ] de- ned in Lemma. (i) q (j) >, 8 (; ]; (ii) R q (j)d = ( ) q (j) + R q (j)d ; (iii) R
More informationChapter 9: Controller design. Controller design. Controller design
Chapter 9. Controller Deign 9.. Introduction 9.2. Eect o negative eedback on the network traner unction 9.2.. Feedback reduce the traner unction rom diturbance to the output 9.2.2. Feedback caue the traner
More informationSolutions to homework #10
Solution to homework #0 Problem 7..3 Compute 6 e 3 t t t 8. The firt tep i to ue the linearity of the Laplace tranform to ditribute the tranform over the um and pull the contant factor outide the tranform.
More information1. Intensity of Periodic Sound Waves 2. The Doppler Effect
1. Intenity o Periodic Sound Wae. The Doppler Eect 1-4-018 1 Objectie: The tudent will be able to Deine the intenity o the ound wae. Deine the Doppler Eect. Undertand ome application on ound 1-4-018 3.3
More informationLecture 21. The Lovasz splitting-off lemma Topics in Combinatorial Optimization April 29th, 2004
18.997 Topic in Combinatorial Optimization April 29th, 2004 Lecture 21 Lecturer: Michel X. Goeman Scribe: Mohammad Mahdian 1 The Lovaz plitting-off lemma Lovaz plitting-off lemma tate the following. Theorem
More informationinto a discrete time function. Recall that the table of Laplace/z-transforms is constructed by (i) selecting to get
Lecture 25 Introduction to Some Matlab c2d Code in Relation to Sampled Sytem here are many way to convert a continuou time function, { h( t) ; t [0, )} into a dicrete time function { h ( k) ; k {0,,, }}
More informationMarch 18, 2014 Academic Year 2013/14
POLITONG - SHANGHAI BASIC AUTOMATIC CONTROL Exam grade March 8, 4 Academic Year 3/4 NAME (Pinyin/Italian)... STUDENT ID Ue only thee page (including the back) for anwer. Do not ue additional heet. Ue of
More informationPHYSICSBOWL March 29 April 14, 2017
PHYSICSBOWL 2017 March 29 April 14, 2017 40 QUESTIONS 45 MINUTES The ponor of the 2017 PhyicBowl, including the American Aociation of Phyic Teacher, are providing ome of the prize to recognize outtanding
More informationAssessment Schedule 2017 Scholarship Physics (93103)
Scholarhip Phyic (93103) 201 page 1 of 5 Aement Schedule 201 Scholarhip Phyic (93103) Evidence Statement Q Evidence 1-4 mark 5-6 mark -8 mark ONE (a)(i) Due to the motion of the ource, there are compreion
More informationFALL TERM EXAM, PHYS 1211, INTRODUCTORY PHYSICS I Saturday, 14 December 2013, 1PM to 4 PM, AT 1003
FALL TERM EXAM, PHYS 111, INTRODUCTORY PHYSICS I Saturday, 14 December 013, 1PM to 4 PM, AT 1003 NAME: STUDENT ID: INSTRUCTION 1. Thi exam booklet ha 14 page. Make ure none are miing. There i an equation
More informationDIFFERENTIAL EQUATIONS
DIFFERENTIAL EQUATIONS Laplace Tranform Paul Dawkin Table of Content Preface... Laplace Tranform... Introduction... The Definition... 5 Laplace Tranform... 9 Invere Laplace Tranform... Step Function...4
More informationProf. Dr. Ibraheem Nasser Examples_6 October 13, Review (Chapter 6)
Prof. Dr. Ibraheem Naer Example_6 October 13, 017 Review (Chapter 6) cceleration of a loc againt Friction (1) cceleration of a bloc on horizontal urface When body i moving under application of force P,
More informationNotes on Phase Space Fall 2007, Physics 233B, Hitoshi Murayama
Note on Phae Space Fall 007, Phyic 33B, Hitohi Murayama Two-Body Phae Space The two-body phae i the bai of computing higher body phae pace. We compute it in the ret frame of the two-body ytem, P p + p
More informationDepartment of Mechanical Engineering Massachusetts Institute of Technology Modeling, Dynamics and Control III Spring 2002
Department of Mechanical Engineering Maachuett Intitute of Technology 2.010 Modeling, Dynamic and Control III Spring 2002 SOLUTIONS: Problem Set # 10 Problem 1 Etimating tranfer function from Bode Plot.
More informationHow a charge conserving alternative to Maxwell s displacement current entails a Darwin-like approximation to the solutions of Maxwell s equations
How a charge conerving alternative to Maxwell diplacement current entail a Darwin-like approximation to the olution of Maxwell equation 12 ab Alan M Wolky 1 Argonne National Laboratory 9700 South Ca Ave
More informationLecture 7: Testing Distributions
CSE 5: Sublinear (and Streaming) Algorithm Spring 014 Lecture 7: Teting Ditribution April 1, 014 Lecturer: Paul Beame Scribe: Paul Beame 1 Teting Uniformity of Ditribution We return today to property teting
More informationSecond Law of Motion. Force mass. Increasing mass. (Neglect air resistance in this example)
Newton Law of Motion Moentu and Energy Chapter -3 Second Law of Motion The acceleration of an object i directly proportional to the net force acting on the object, i in the direction of the net force,
More informationECE382/ME482 Spring 2004 Homework 4 Solution November 14,
ECE382/ME482 Spring 2004 Homework 4 Solution November 14, 2005 1 Solution to HW4 AP4.3 Intead of a contant or tep reference input, we are given, in thi problem, a more complicated reference path, r(t)
More informationEE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject
EE 508 Lecture 6 Filter Tranformation Lowpa to Bandpa Lowpa to Highpa Lowpa to Band-reject Review from Lat Time Theorem: If the perimeter variation and contact reitance are neglected, the tandard deviation
More informationHeat and mass transfer effects on nanofluid past a horizontally inclined plate
Journal o Phyic: Conerence Serie PAPER OPEN ACCESS Heat and ma traner eect on nanoluid pat a horizontally inclined plate To cite thi article: M Selva rani and A Govindarajan 08 J. Phy.: Con. Ser. 000 07
More informationMOS electrostatic: Quantitative analysis
MOS electrotatic: Quantitative analyi In thi cla, we will Derive analytical expreion for the charge denity, electric field and the electrotatic potential. xpreion for the depletion layer width Decribe
More informations s 1 s = m s 2 = 0; Δt = 1.75s; a =? mi hr
Flipping Phyic Lecture Note: Introduction to Acceleration with Priu Brake Slaing Exaple Proble a Δv a Δv v f v i & a t f t i Acceleration: & flip the guy and ultiply! Acceleration, jut like Diplaceent
More informationThe Laplace Transform , Haynes Miller and Jeremy Orloff
The Laplace Tranform 8.3, Hayne Miller and Jeremy Orloff Laplace tranform baic: introduction An operator take a function a input and output another function. A tranform doe the ame thing with the added
More information