Activity 4 Solutions: Transfer of Thermal Energy

Size: px
Start display at page:

Download "Activity 4 Solutions: Transfer of Thermal Energy"

Transcription

1 Aciviy 4 Soluions: Transfer of Thermal nergy 4.1 How Does Temperaure Differ from Thermal nergy? a) Temperaure Your insrucor will demonsrae molecular moion a differen emperaures. 1) Wha happens o molecular moion a higher emperaures? Molecules move faser a higher emperaures 2) Define emperaure in erms of molecular moion. Temperaure in Kelvin is a measure of he average kineic energy of he molecules of a subsance b) Thermal nergy 1) Wha is hermal energy? How does hermal energy differ from emperaure? Thermal energy is he TOTAL inernal energy of he aoms and molecules of a subsance. Temperaure is he AVRAG kineic energy of he molecules of a subsance. 2) Which has more hermal energy a cup of ho coffee or a bahub full of warm waer? The coffee is a a higher emperaure, bu he bahub has more hermal energy because he bahub conains many more molecules. c) Thermomeers xamine he four ypes of hermomeers and explain wha changing propery each ype of hermomeer relies upon. 1) alcohol hermomeers expansion of liquid alcohol when heaed 2) bimeallic srip hermomeers expansion of meal srips a varying raes when heaed 3) liquid crysal hermomeers crysals change color when heaed or cooled 4) infrared hermomeer frequency of he radiaion d) Temperaure Scales Your insrucor will discuss Fahrenhei, Celsius and Kelvin emperaure scales. 1) xamine a hermomeer wih boh Fahrenhei and Celsius scales. On he Celsius scale, how many degrees are beween he freezing poin and he boiling poin of waer? 100 degrees C 2) On he Fahrenhei scale, how many degrees are beween he freezing poin and he boiling poin of waer? _180 degrees F_ 3) Use he number of degrees beween he freezing and boiling poins of waer o make a raio of he number of Celsius degrees per Fahrenhei degrees. 100 Celsius degrees 5 Celsius degrees 180 Fahrenhei degrees 9 Fahrenhei degrees 1

2 2 1/11/05 4) Wrie an equaion o conver degrees Fahrenhei ino degrees Celsius. Use your raio from par 3 plus he fac ha he freezing emperaure of waer in he Celsius scale is 32 degrees lower han in he Fahrenhei scale. T C 5/9 (T F 32) 5) Use your equaion o conver 70 degrees Fahrenhei ino Celsius degrees. T C 5/9 (70 32) 5/9 (38) 21 0 C 6) In he Kelvin scale, waer boils a 373 Kelvin and freezes a 273 Kelvin. A change in how many degrees Celsius equals how much of a change in Kelvin? 1 Celsius degree 1 Kelvin degree 7) Wrie an equaion o conver degrees Celsius o Kelvin. T K T C e) Group Discussion Quesion: Which emperaure scale gives he greaes disincion beween emperaure degrees Fahrenhei, Celsius, or Kelvin? 4.2 How Is Thermal nergy Transferred? a) Transferring Thermal nergy Wha is he one essenial condiion for he sponaneous ransfer of hermal energy beween wo objecs? The objecs mus be a differen emperaures. b) Conducion 1) Before waching he demonsraion, predic he order in which he seel balls will fall off of a meal rod when i is heaed. Predicion: Answer: The ball closes o he hea source falls off firs. The ball farhes from he hea source falls off las. 2) Wha are he necessary condiions for hea ransfer via conducion beween wo objecs? The objecs mus be a differen emperaures and mus be ouching. c) Thermal Conduciviy Your insrucor will discuss hermal conduciviy 1) Before waching he demonsraion, predic he order in which he seel balls will fall off of rods made of differen meals. Predicion: Answer: _The ball aached o he rod wih he highes hermal conduciviy (copper) falls off firs. The ball aached o he rod wih he lowes hermal conduciviy falls off las._ 2) Touch he glass, meal, and cork squares. a) Do he squares feel as if hey are all a he same emperaure? No, cork feels warmes and meal feels cooles.

3 b) Measure he emperaure of he squares wih an infrared hermomeer. How do heir emperaures compare? All are a room emperaure c) Why do he squares feel as if hey are a differen emperaures? Maerials wih a high hermal conduciviy, such as meal, are beer a conducing hea away from your hand, so hey feel colder han maerials wih a lower hermal conduciviy, such as cork. 3) Your insrucor will place ice cubes on wo black squares on your able. Wha happens? Why? The ice cube on he aluminum block mels more quickly han he ice cube on he foam block because aluminum has a higher hermal conduciviy han foam. d) Convecion Wach he demonsraions of hermal energy ransfer via convecion 1) Wha are he necessary condiions for hermal energy ransfer via convecion? There mus be a difference in emperaure and difference in he densiy of he subsances he less dense subsance rises, producing a convecion curren. 2) Does convecion involve a ransfer of maer? yes 3) Does conducion involve a ransfer of maer? no e) Radiaion Place he flood ligh an equal disance from he wo cans fied wih balloons. 1) Which balloon inflaes firs? black can Why? The black can absorbs more of he radian energy from he floodligh. The shiny can reflecs more of he radian energy. 2) Why is he inside of a hermos silver-colored? So ha he walls of he hermos absorb less of he hermal energy conained in he conens of he hermos. 3) Does hermal energy ransfer via radiaion involve a ransfer of maer? _no_ 4) Does hermal energy ransfer via radiaion require objecs o be ouching? _no_ f) xamples of hermal energy ransfer Place a small paper cup of waer on he screen of he meal sand. Ligh he burner wih a mach and carefully move he burner under he paper cup. 1) Does he paper cup burn? _no very much_ Why or why no? Thermal energy from he flame is used o hea he waer o boiling. The waer emperaure does no rise above he 3

4 boiling poin. This emperaure (100 0 C or F) is lower han he combusion emperaure of paper. 2) Wha do you hink would happen if he paper cup were full of pennies insead of waer? The cup would burn since he meling poin of pennies is higher han he combusion poin of paper. 3) Wha forms of energy ransfer are involved? The flame gives off radian energy, some of which reaches he boom of he cup. Hea from he flame rises via convecion o he screen and he cup. Conducion from he heaed screen heas he waer and he cup. Convecion currens in he waer also ranspor hea o he surface of he waer in he cup. 4.3 How Can Thermal nergy Transfer Be Minimized? a) Hea flow hrough a surface 1) Wha facors deermine how much hea flows hrough a surface, such as a glass window? he hickness of he window (L) he hermal conduciviy of he glass (K) he area of he window (A) he difference in emperaure beween he wo sides of he glass (T ho T cold ) 2) Wrie an equaion for hea flow hrough a surface. K A ( T T L 3) How much hea flows hrough a glass window ha is 2 meers by 2 meers in area and 1.5 cm hick if he ouside emperaure is 10 0 C and he inside emperaure is 25 0 C? (The hermal conduciviy of glass is 0.84 J/s m 0 C ) K A ( T T L (0.84 J/s m 0 C) x (4 m m 2 ) x ( 15 0 C) 3,360 J/s b) R-value of insulaion xamine a piece of home insulaion. The R-value of a maerial is a raio of wo variables: he hermal conduciviy of he maerial K and is hickness L. 1) Use raio reasoning o wrie an equaion for R so ha good insulaing maerial has a larger R-value han poor insulaing maerial. 4

5 The hicker he maerial, he less hea flow hrough i. Therefore, R and L are direcly proporional. The larger he hermal conduciviy, he greaer he hea flow. Therefore, R and K are inversely proporional. R L / K 2) Rewrie your equaion for hea flow from par a.3, using R insead of L and K. A ( T T R 3) Wha would happen o he hea flow hrough a wall if you increased he hickness of he insulaion from 2 inches o 6 inches? Assuming he oher variables are no changed, he hea flow would be 1/3 of wha i was wih 2 inches of insulaion. c) Changing emperaures and properies of maer 1) Predic some properies of maer ha you hink change wih changing emperaure. 2) Wach he demonsraions of maerials cooled wih liquid nirogen. Lis changes you see in he properies of maer cooled o low emperaures. Maerials become hard or brile and conrac 5

PHYS 1401 General Physics I Test 3 Review Questions

PHYS 1401 General Physics I Test 3 Review Questions PHYS 1401 General Physics I Tes 3 Review Quesions Ch. 7 1. A 6500 kg railroad car moving a 4.0 m/s couples wih a second 7500 kg car iniially a res. a) Skech before and afer picures of he siuaion. b) Wha

More information

Heat Transfer. Revision Examples

Heat Transfer. Revision Examples Hea Transfer Revision Examples Hea ransfer: energy ranspor because of a emperaure difference. Thermal energy is ransferred from one region o anoher. Hea ranspor is he same phenomena lie mass ransfer, momenum

More information

Q.1 Define work and its unit?

Q.1 Define work and its unit? CHP # 6 ORK AND ENERGY Q.1 Define work and is uni? A. ORK I can be define as when we applied a force on a body and he body covers a disance in he direcion of force, hen we say ha work is done. I is a scalar

More information

Energy Transport. Chapter 3 Energy Balance and Temperature. Temperature. Topics to be covered. Blackbody - Introduction

Energy Transport. Chapter 3 Energy Balance and Temperature. Temperature. Topics to be covered. Blackbody - Introduction Energy Transpor Chaper Energy Balance and Temperaure Energy can be ransmied by:. Conducion. Radiaion. Convecion Asro 960 One mechanism usually dominaes In solids, conducion dominaes In space and enuous

More information

Chemical Engineering Thermodynamics

Chemical Engineering Thermodynamics Engi-3434 Chemical Engineering Thermodynamics Dr. Charles Xu @ Chemical Engineering, Lakehead Universiy Chemical Engineering Thermodynamics Insrucor: Dr. Charles Xu, P.Eng. Associae Professor Deparmen

More information

IB Physics Kinematics Worksheet

IB Physics Kinematics Worksheet IB Physics Kinemaics Workshee Wrie full soluions and noes for muliple choice answers. Do no use a calculaor for muliple choice answers. 1. Which of he following is a correc definiion of average acceleraion?

More information

Load Calculations Heat Balance Method - Theory. Prof. Jeffrey D. Spitler School of Mechanical and Aerospace Engineering, Oklahoma State University

Load Calculations Heat Balance Method - Theory. Prof. Jeffrey D. Spitler School of Mechanical and Aerospace Engineering, Oklahoma State University Load Calculaions Hea Balance Mehod - Theory Prof. Jeffrey D. Spiler School of Mechanical and Aerospace Engineering, Oklahoma Sae Universiy Tonigh The hea balance mehod heory The hea balance mehod applicaion

More information

COS 2AB Physics Year 11 Programme 2012

COS 2AB Physics Year 11 Programme 2012 COS AB Physics Year 11 Programme 01 Semeser Week 1 & 30 Jan 6 Feb Monday is School Dev Day Week 3 13 Feb Week 4 0 Feb a & b Disribue Programme, Assessmen srucure, Syllabus, Course ouline Heaing and cooling

More information

6. Solve by applying the quadratic formula.

6. Solve by applying the quadratic formula. Dae: Chaper 7 Prerequisie Skills BLM 7.. Apply he Eponen Laws. Simplify. Idenify he eponen law ha you used. a) ( c) ( c) ( c) ( y)( y ) c) ( m)( n ). Simplify. Idenify he eponen law ha you used. 8 w a)

More information

APPM 2360 Homework Solutions, Due June 10

APPM 2360 Homework Solutions, Due June 10 2.2.2: Find general soluions for he equaion APPM 2360 Homework Soluions, Due June 10 Soluion: Finding he inegraing facor, dy + 2y = 3e µ) = e 2) = e 2 Muliplying he differenial equaion by he inegraing

More information

Linear Response Theory: The connection between QFT and experiments

Linear Response Theory: The connection between QFT and experiments Phys540.nb 39 3 Linear Response Theory: The connecion beween QFT and experimens 3.1. Basic conceps and ideas Q: How do we measure he conduciviy of a meal? A: we firs inroduce a weak elecric field E, and

More information

Second Law. first draft 9/23/04, second Sept Oct 2005 minor changes 2006, used spell check, expanded example

Second Law. first draft 9/23/04, second Sept Oct 2005 minor changes 2006, used spell check, expanded example Second Law firs draf 9/3/4, second Sep Oc 5 minor changes 6, used spell check, expanded example Kelvin-Planck: I is impossible o consruc a device ha will operae in a cycle and produce no effec oher han

More information

Module 2 F c i k c s la l w a s o s f dif di fusi s o i n

Module 2 F c i k c s la l w a s o s f dif di fusi s o i n Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms

More information

Physics 180A Fall 2008 Test points. Provide the best answer to the following questions and problems. Watch your sig figs.

Physics 180A Fall 2008 Test points. Provide the best answer to the following questions and problems. Watch your sig figs. Physics 180A Fall 2008 Tes 1-120 poins Name Provide he bes answer o he following quesions and problems. Wach your sig figs. 1) The number of meaningful digis in a number is called he number of. When numbers

More information

Sub Module 2.6. Measurement of transient temperature

Sub Module 2.6. Measurement of transient temperature Mechanical Measuremens Prof. S.P.Venkaeshan Sub Module 2.6 Measuremen of ransien emperaure Many processes of engineering relevance involve variaions wih respec o ime. The sysem properies like emperaure,

More information

1.6. Slopes of Tangents and Instantaneous Rate of Change

1.6. Slopes of Tangents and Instantaneous Rate of Change 1.6 Slopes of Tangens and Insananeous Rae of Change When you hi or kick a ball, he heigh, h, in meres, of he ball can be modelled by he equaion h() 4.9 2 v c. In his equaion, is he ime, in seconds; c represens

More information

( ) is the stretch factor, and x the

( ) is the stretch factor, and x the (Lecures 7-8) Liddle, Chaper 5 Simple cosmological models (i) Hubble s Law revisied Self-similar srech of he universe All universe models have his characerisic v r ; v = Hr since only his conserves homogeneiy

More information

Turbulence in Fluids. Plumes and Thermals. Benoit Cushman-Roisin Thayer School of Engineering Dartmouth College

Turbulence in Fluids. Plumes and Thermals. Benoit Cushman-Roisin Thayer School of Engineering Dartmouth College Turbulence in Fluids Plumes and Thermals enoi Cushman-Roisin Thayer School of Engineering Darmouh College Why do hese srucures behave he way hey do? How much mixing do hey accomplish? 1 Plumes Plumes are

More information

125 TIE Theory of Indoor Environment THERMAL COMFORT

125 TIE Theory of Indoor Environment THERMAL COMFORT ČVUT v Praze Fakula savební Kaedra echnických zařízení budov 125 TIE Theory of Indoor Environmen THERMAL COMFORT Zuzana Veverková THERMAL COMFORT OVERALL COMFORT 8 Measuremens of facors for evaluaion of

More information

Instructor: Barry McQuarrie Page 1 of 5

Instructor: Barry McQuarrie Page 1 of 5 Procedure for Solving radical equaions 1. Algebraically isolae one radical by iself on one side of equal sign. 2. Raise each side of he equaion o an appropriae power o remove he radical. 3. Simplify. 4.

More information

Mathcad Lecture #8 In-class Worksheet Curve Fitting and Interpolation

Mathcad Lecture #8 In-class Worksheet Curve Fitting and Interpolation Mahcad Lecure #8 In-class Workshee Curve Fiing and Inerpolaion A he end of his lecure, you will be able o: explain he difference beween curve fiing and inerpolaion decide wheher curve fiing or inerpolaion

More information

Basic Circuit Elements Professor J R Lucas November 2001

Basic Circuit Elements Professor J R Lucas November 2001 Basic Circui Elemens - J ucas An elecrical circui is an inerconnecion of circui elemens. These circui elemens can be caegorised ino wo ypes, namely acive and passive elemens. Some Definiions/explanaions

More information

Preview of Period 4: Transfer of Thermal Energy

Preview of Period 4: Transfer of Thermal Energy Preview of Period 4: Transfer of Thermal Energy 4.1 Temperature and Thermal Energy How is temperature measured? What temperature scales are used? 4.2 How is Thermal Energy Transferred? How do conduction,

More information

1. The graph below shows the variation with time t of the acceleration a of an object from t = 0 to t = T. a

1. The graph below shows the variation with time t of the acceleration a of an object from t = 0 to t = T. a Kinemaics Paper 1 1. The graph below shows he ariaion wih ime of he acceleraion a of an objec from = o = T. a T The shaded area under he graph represens change in A. displacemen. B. elociy. C. momenum.

More information

Chapter 14 Homework Answers

Chapter 14 Homework Answers 4. Suden responses will vary. (a) combusion of gasoline (b) cooking an egg in boiling waer (c) curing of cemen Chaper 4 Homework Answers 4. A collision beween only wo molecules is much more probable han

More information

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,

More information

MOMENTUM CONSERVATION LAW

MOMENTUM CONSERVATION LAW 1 AAST/AEDT AP PHYSICS B: Impulse and Momenum Le us run an experimen: The ball is moving wih a velociy of V o and a force of F is applied on i for he ime inerval of. As he resul he ball s velociy changes

More information

Suggested Practice Problems (set #2) for the Physics Placement Test

Suggested Practice Problems (set #2) for the Physics Placement Test Deparmen of Physics College of Ars and Sciences American Universiy of Sharjah (AUS) Fall 014 Suggesed Pracice Problems (se #) for he Physics Placemen Tes This documen conains 5 suggesed problems ha are

More information

CLASS XI SET A PHYSICS. 1. If and Let. The correct order of % error in. (a) (b) x = y > z (c) x < z < y (d) x > z < y

CLASS XI SET A PHYSICS. 1. If and Let. The correct order of % error in. (a) (b) x = y > z (c) x < z < y (d) x > z < y PHYSICS 1. If and Le. The correc order of % error in (a) (b) x = y > z x < z < y x > z < y. A hollow verical cylinder of radius r and heigh h has a smooh inernal surface. A small paricle is placed in conac

More information

23.5. Half-Range Series. Introduction. Prerequisites. Learning Outcomes

23.5. Half-Range Series. Introduction. Prerequisites. Learning Outcomes Half-Range Series 2.5 Inroducion In his Secion we address he following problem: Can we find a Fourier series expansion of a funcion defined over a finie inerval? Of course we recognise ha such a funcion

More information

04. Kinetics of a second order reaction

04. Kinetics of a second order reaction 4. Kineics of a second order reacion Imporan conceps Reacion rae, reacion exen, reacion rae equaion, order of a reacion, firs-order reacions, second-order reacions, differenial and inegraed rae laws, Arrhenius

More information

Physics for Scientists & Engineers 2

Physics for Scientists & Engineers 2 Direc Curren Physics for Scieniss & Engineers 2 Spring Semeser 2005 Lecure 16 This week we will sudy charges in moion Elecric charge moving from one region o anoher is called elecric curren Curren is all

More information

Chapter 15: Phenomena. Chapter 15 Chemical Kinetics. Reaction Rates. Reaction Rates R P. Reaction Rates. Rate Laws

Chapter 15: Phenomena. Chapter 15 Chemical Kinetics. Reaction Rates. Reaction Rates R P. Reaction Rates. Rate Laws Chaper 5: Phenomena Phenomena: The reacion (aq) + B(aq) C(aq) was sudied a wo differen emperaures (98 K and 35 K). For each emperaure he reacion was sared by puing differen concenraions of he 3 species

More information

Key points. Energy Storage. Kinetic Energy -E K orke 1/23/2018. Energy Storage and Transfer Model (ETM)

Key points. Energy Storage. Kinetic Energy -E K orke 1/23/2018. Energy Storage and Transfer Model (ETM) Key poins Energy Sorage and Transfer Model (ETM) Uni 7 Energy-a conserved, subsance-like quaniy wih he capabiliy o produce change in physical sysems I does no come in differen forms i s jus energy. I s

More information

Matlab and Python programming: how to get started

Matlab and Python programming: how to get started Malab and Pyhon programming: how o ge sared Equipping readers he skills o wrie programs o explore complex sysems and discover ineresing paerns from big daa is one of he main goals of his book. In his chaper,

More information

Chapter 3: Matter and Energy

Chapter 3: Matter and Energy Chapter 3: Matter and Energy Convert between Fahrenheit, Celsius, and Kelvin temperature scales. Relate energy, temperature change, and heat capacity. The atoms and molecules that compose matter are in

More information

The equation to any straight line can be expressed in the form:

The equation to any straight line can be expressed in the form: Sring Graphs Par 1 Answers 1 TI-Nspire Invesigaion Suden min Aims Deermine a series of equaions of sraigh lines o form a paern similar o ha formed by he cables on he Jerusalem Chords Bridge. Deermine he

More information

1. Define the following: molecular cloud, molecular core, protostar. Include typical properties when necessary.

1. Define the following: molecular cloud, molecular core, protostar. Include typical properties when necessary. 1 Soluions o PH6820 Miderm 1. Define he following: molecular cloud, molecular core, proosar. Include ypical properies when necessary. A molecular cloud is a disinc, self-graviaing cloud comprised primarily

More information

How Did You Do? Rock Cycle Cooling & Crystallization. The Basics of Plate Tectonics. The Plates of Plate Tectonics. GIS - Seeing the Plates

How Did You Do? Rock Cycle Cooling & Crystallization. The Basics of Plate Tectonics. The Plates of Plate Tectonics. GIS - Seeing the Plates The Rock ycle Uplifed To The Surface Weahering, Erosion & Deposiion w Did You Do? Rock ycle ooling & rysallizaion Igneous Magma Hea & Pressure Uplifed o he Surface Uplifed To he Surface Hea & Pressure

More information

Steady Heat Conduction (Chapter 3) Zan Wu Room: 5113

Steady Heat Conduction (Chapter 3) Zan Wu Room: 5113 Seady Hea Conducion Chaper 3 Zan Wu zan.wu@energy.lh.se Room: 53 Ojecives Seady-sae hea conducion Wihou inernal hea generaion - Derive emperaure profile for a plane wall - Derive emperaure profile for

More information

Oscillations. Periodic Motion. Sinusoidal Motion. PHY oscillations - J. Hedberg

Oscillations. Periodic Motion. Sinusoidal Motion. PHY oscillations - J. Hedberg Oscillaions PHY 207 - oscillaions - J. Hedberg - 2017 1. Periodic Moion 2. Sinusoidal Moion 3. How do we ge his kind of moion? 4. Posiion - Velociy - cceleraion 5. spring wih vecors 6. he reference circle

More information

Math 105 Second Midterm March 16, 2017

Math 105 Second Midterm March 16, 2017 Mah 105 Second Miderm March 16, 2017 UMID: Insrucor: Iniials: Secion: 1. Do no open his exam unil you are old o do so. 2. Do no wrie your name anywhere on his exam. 3. This exam has 9 pages including his

More information

MECHANICS OF MATERIALS Poisson s Ratio

MECHANICS OF MATERIALS Poisson s Ratio Poisson s Raio For a slender bar subjeced o axial loading: ε x x y 0 The elongaion in he x-direcion i is accompanied by a conracion in he oher direcions. Assuming ha he maerial is isoropic (no direcional

More information

WEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x

WEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x WEEK-3 Reciaion PHYS 131 Ch. 3: FOC 1, 3, 4, 6, 14. Problems 9, 37, 41 & 71 and Ch. 4: FOC 1, 3, 5, 8. Problems 3, 5 & 16. Feb 8, 018 Ch. 3: FOC 1, 3, 4, 6, 14. 1. (a) The horizonal componen of he projecile

More information

Displacement ( x) x x x

Displacement ( x) x x x Kinemaics Kinemaics is he branch of mechanics ha describes he moion of objecs wihou necessarily discussing wha causes he moion. 1-Dimensional Kinemaics (or 1- Dimensional moion) refers o moion in a sraigh

More information

Challenge Problems. DIS 203 and 210. March 6, (e 2) k. k(k + 2). k=1. f(x) = k(k + 2) = 1 x k

Challenge Problems. DIS 203 and 210. March 6, (e 2) k. k(k + 2). k=1. f(x) = k(k + 2) = 1 x k Challenge Problems DIS 03 and 0 March 6, 05 Choose one of he following problems, and work on i in your group. Your goal is o convince me ha your answer is correc. Even if your answer isn compleely correc,

More information

Circuit Variables. AP 1.1 Use a product of ratios to convert two-thirds the speed of light from meters per second to miles per second: 1 ft 12 in

Circuit Variables. AP 1.1 Use a product of ratios to convert two-thirds the speed of light from meters per second to miles per second: 1 ft 12 in Circui Variables 1 Assessmen Problems AP 1.1 Use a produc of raios o conver wo-hirds he speed of ligh from meers per second o miles per second: ( ) 2 3 1 8 m 3 1 s 1 cm 1 m 1 in 2.54 cm 1 f 12 in 1 mile

More information

CHEMICAL KINETICS: 1. Rate Order Rate law Rate constant Half-life Temperature Dependence

CHEMICAL KINETICS: 1. Rate Order Rate law Rate constant Half-life Temperature Dependence CHEMICL KINETICS: Rae Order Rae law Rae consan Half-life Temperaure Dependence Chemical Reacions Kineics Chemical ineics is he sudy of ime dependence of he change in he concenraion of reacans and producs.

More information

System of Linear Differential Equations

System of Linear Differential Equations Sysem of Linear Differenial Equaions In "Ordinary Differenial Equaions" we've learned how o solve a differenial equaion for a variable, such as: y'k5$e K2$x =0 solve DE yx = K 5 2 ek2 x C_C1 2$y''C7$y

More information

1 Nuclear particles and nuclear radiation may cause ionisation as they pass through matter.

1 Nuclear particles and nuclear radiation may cause ionisation as they pass through matter. 1 uclear paricles and nuclear radiaion may cause ionisaion as hey pass hrough maer. Which of he following is he mos ionising? A α paricles B β paricles C γ rays D neurons 2 An unsable nucleus recoils as

More information

LabQuest 24. Capacitors

LabQuest 24. Capacitors Capaciors LabQues 24 The charge q on a capacior s plae is proporional o he poenial difference V across he capacior. We express his wih q V = C where C is a proporionaliy consan known as he capaciance.

More information

d = ½(v o + v f) t distance = ½ (initial velocity + final velocity) time

d = ½(v o + v f) t distance = ½ (initial velocity + final velocity) time BULLSEYE Lab Name: ANSWER KEY Dae: Pre-AP Physics Lab Projecile Moion Weigh = 1 DIRECTIONS: Follow he insrucions below, build he ramp, ake your measuremens, and use your measuremens o make he calculaions

More information

Lecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.

Lecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still. Lecure - Kinemaics in One Dimension Displacemen, Velociy and Acceleraion Everyhing in he world is moving. Nohing says sill. Moion occurs a all scales of he universe, saring from he moion of elecrons in

More information

3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon

3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon 3..3 INRODUCION O DYNAMIC OPIMIZAION: DISCREE IME PROBLEMS A. he Hamilonian and Firs-Order Condiions in a Finie ime Horizon Define a new funcion, he Hamilonian funcion, H. H he change in he oal value of

More information

Biol. 356 Lab 8. Mortality, Recruitment, and Migration Rates

Biol. 356 Lab 8. Mortality, Recruitment, and Migration Rates Biol. 356 Lab 8. Moraliy, Recruimen, and Migraion Raes (modified from Cox, 00, General Ecology Lab Manual, McGraw Hill) Las week we esimaed populaion size hrough several mehods. One assumpion of all hese

More information

04. Kinetics of a second order reaction

04. Kinetics of a second order reaction 4. Kineics of a second order reacion Imporan conceps Reacion rae, reacion exen, reacion rae equaion, order of a reacion, firs-order reacions, second-order reacions, differenial and inegraed rae laws, rrhenius

More information

Units. Chapter 1 Basic Concepts. Units. Example 1. Atoms. Example 2. Radiation Dosimetry I

Units. Chapter 1 Basic Concepts. Units. Example 1. Atoms. Example 2. Radiation Dosimetry I Unis Chaper Basic Conceps Radiaion Dosimery I Tex: H.E Johns and J.R. Cunningham, The physics of radiology, 4 h ed. Special uni of energy: elecron vol ev ev=.60x0-9 C x vol=.60x0-9 J Unis Absorbed dose:

More information

Chapter 1 Rotational dynamics 1.1 Angular acceleration

Chapter 1 Rotational dynamics 1.1 Angular acceleration Chaper Roaional dynamics. Angular acceleraion Learning objecives: Wha do we mean by angular acceleraion? How can we calculae he angular acceleraion of a roaing objec when i speeds up or slows down? How

More information

KINEMATICS IN ONE DIMENSION

KINEMATICS IN ONE DIMENSION KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings move how far (disance and displacemen), how fas (speed and velociy), and how fas ha how fas changes (acceleraion). We say ha an objec

More information

Key Chemistry 102 Discussion #4, Chapter 11 and 12 Student name TA name Section. ; u= M. and T(red)=2*T(yellow) ; t(yellow)=4*t(red) or

Key Chemistry 102 Discussion #4, Chapter 11 and 12 Student name TA name Section. ; u= M. and T(red)=2*T(yellow) ; t(yellow)=4*t(red) or Key Chemisry 0 Discssion #4, Chaper and Sden name TA name Secion. Two idenical conainers, one red and one yellow, are inflaed wih differen gases a he same volme and pressre. Boh conainers have an idenically

More information

Key points. Unit 7. Kinetic Energy -E K orke. Energy Storage 2/4/2016. Describing the Interaction between energy and matter continued

Key points. Unit 7. Kinetic Energy -E K orke. Energy Storage 2/4/2016. Describing the Interaction between energy and matter continued Key poins Uni 7 Energy Sorage and Transfer Model Energy-a conserved, subsance-like quaniy wih he capabiliy o produce change in physical sysems I does no come in differen forms i s jus energy. I s sored

More information

Two Coupled Oscillators / Normal Modes

Two Coupled Oscillators / Normal Modes Lecure 3 Phys 3750 Two Coupled Oscillaors / Normal Modes Overview and Moivaion: Today we ake a small, bu significan, sep owards wave moion. We will no ye observe waves, bu his sep is imporan in is own

More information

. Building Vocabulary

. Building Vocabulary Name Dae Class SECTION 3-1 REVIEW AND REINFORCE Organizing he Elemens. Undersanding Main Ideas l. The diagrama he righ is a squarefrom heperiodic 2. able.label hefour facs shown abou eachelemen. Silver

More information

Guest Lecturer Friday! Symbolic reasoning. Symbolic reasoning. Practice Problem day A. 2 B. 3 C. 4 D. 8 E. 16 Q25. Will Armentrout.

Guest Lecturer Friday! Symbolic reasoning. Symbolic reasoning. Practice Problem day A. 2 B. 3 C. 4 D. 8 E. 16 Q25. Will Armentrout. Pracice Problem day Gues Lecurer Friday! Will Armenrou. He d welcome your feedback! Anonymously: wrie somehing and pu i in my mailbox a 111 Whie Hall. Email me: sarah.spolaor@mail.wvu.edu Symbolic reasoning

More information

Math 116 Practice for Exam 2

Math 116 Practice for Exam 2 Mah 6 Pracice for Exam Generaed Ocober 3, 7 Name: SOLUTIONS Insrucor: Secion Number:. This exam has 5 quesions. Noe ha he problems are no of equal difficuly, so you may wan o skip over and reurn o a problem

More information

Period 5: Thermal Energy, the Microscopic Picture

Period 5: Thermal Energy, the Microscopic Picture Name Section Period 5: Thermal Energy, the Microscopic Picture 5.1 How Is Temperature Related to Molecular Motion? 1) Temperature Your instructor will discuss molecular motion and temperature. a) At a

More information

Limits at Infinity. Limit at negative infinity. Limit at positive infinity. Definition of Limits at Infinity Let L be a real number.

Limits at Infinity. Limit at negative infinity. Limit at positive infinity. Definition of Limits at Infinity Let L be a real number. 0_005.qd //0 : PM Page 98 98 CHAPTER Applicaions of Differeniaion f() as Secion.5 f() = + f() as The i of f as approaches or is. Figure. Limis a Infini Deermine (finie) is a infini. Deermine he horizonal

More information

5.1 - Logarithms and Their Properties

5.1 - Logarithms and Their Properties Chaper 5 Logarihmic Funcions 5.1 - Logarihms and Their Properies Suppose ha a populaion grows according o he formula P 10, where P is he colony size a ime, in hours. When will he populaion be 2500? We

More information

Math 333 Problem Set #2 Solution 14 February 2003

Math 333 Problem Set #2 Solution 14 February 2003 Mah 333 Problem Se #2 Soluion 14 February 2003 A1. Solve he iniial value problem dy dx = x2 + e 3x ; 2y 4 y(0) = 1. Soluion: This is separable; we wrie 2y 4 dy = x 2 + e x dx and inegrae o ge The iniial

More information

MECHANICAL PROPERTIES OF FLUIDS NCERT

MECHANICAL PROPERTIES OF FLUIDS NCERT Chaper Ten MECHANICAL PROPERTIES OF FLUIDS MCQ I 10.1 A all cylinder is filled wih iscous oil. A round pebble is dropped from he op wih zero iniial elociy. From he plo shown in Fig. 10.1, indicae he one

More information

1998 Calculus AB Scoring Guidelines

1998 Calculus AB Scoring Guidelines AB{ / BC{ 1999. The rae a which waer ows ou of a pipe, in gallons per hour, is given by a diereniable funcion R of ime. The able above shows he rae as measured every hours for a {hour period. (a) Use a

More information

Topic 1: Linear motion and forces

Topic 1: Linear motion and forces TOPIC 1 Topic 1: Linear moion and forces 1.1 Moion under consan acceleraion Science undersanding 1. Linear moion wih consan elociy is described in erms of relaionships beween measureable scalar and ecor

More information

Relaxation in Glass. Transition

Relaxation in Glass. Transition Relaxaion in Glass Lecure 2: he Glass ransiion as a Kineic Lecure 2: he Glass ransiion as a Kineic ransiion Enhalpy Changes in he Glass ransiion Range H decreases coninuously wih cooling Slope of he H

More information

Problem 1 / 25 Problem 2 / 20 Problem 3 / 10 Problem 4 / 15 Problem 5 / 30 TOTAL / 100

Problem 1 / 25 Problem 2 / 20 Problem 3 / 10 Problem 4 / 15 Problem 5 / 30 TOTAL / 100 eparmen of Applied Economics Johns Hopkins Universiy Economics 602 Macroeconomic Theory and Policy Miderm Exam Suggesed Soluions Professor Sanjay hugh Fall 2008 NAME: The Exam has a oal of five (5) problems

More information

matter/index.html

matter/index.html http://www.colorado.edu/physics/2000/index.pl http://www.harcourtschool.com/activity/states_of_ matter/index.html Thermal Energy Ch 6-1 Temperature and Heat Objectives Explain the kinetic theory of matter

More information

Key points. Unit 7. Kinetic Energy -E K orke. Energy Storage 1/24/2017. Describing the Interaction between energy and matter continued

Key points. Unit 7. Kinetic Energy -E K orke. Energy Storage 1/24/2017. Describing the Interaction between energy and matter continued Key poins Uni 7 Energy Sorage and Transfer Model Energy-a conserved, subsance-like quaniy wih he capabiliy o produce change in physical sysems I does no come in differen forms i s jus energy. I s sored

More information

5.2. The Natural Logarithm. Solution

5.2. The Natural Logarithm. Solution 5.2 The Naural Logarihm The number e is an irraional number, similar in naure o π. Is non-erminaing, non-repeaing value is e 2.718 281 828 59. Like π, e also occurs frequenly in naural phenomena. In fac,

More information

4. Electric field lines with respect to equipotential surfaces are

4. Electric field lines with respect to equipotential surfaces are Pre-es Quasi-saic elecromagneism. The field produced by primary charge Q and by an uncharged conducing plane disanced from Q by disance d is equal o he field produced wihou conducing plane by wo following

More information

Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan

Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan Ground Rules PC11 Fundamenals of Physics I Lecures 3 and 4 Moion in One Dimension A/Prof Tay Seng Chuan 1 Swich off your handphone and pager Swich off your lapop compuer and keep i No alking while lecure

More information

המחלקה : ביולוגיה מולקולרית הפקולטה למדעי הטבע

המחלקה : ביולוגיה מולקולרית הפקולטה למדעי הטבע טל : 03-9066345 פקס : 03-9374 ראש המחלקה: ד"ר אלברט פנחסוב המחלקה : ביולוגיה מולקולרית הפקולטה למדעי הטבע Course Name: Physical Chemisry - (for Molecular Biology sudens) כימיה פיזיקאלית )לסטודנטים לביולוגיה

More information

Suggested Problem Solutions Associated with Homework #5

Suggested Problem Solutions Associated with Homework #5 Suggesed Problem Soluions Associaed wih Homework #5 431 (a) 8 Si has proons and neurons (b) 85 3 Rb has 3 proons and 48 neurons (c) 5 Tl 81 has 81 proons and neurons 43 IDENTIFY and SET UP: The ex calculaes

More information

Exam I. Name. Answer: a. W B > W A if the volume of the ice cubes is greater than the volume of the water.

Exam I. Name. Answer: a. W B > W A if the volume of the ice cubes is greater than the volume of the water. Name Exam I 1) A hole is punched in a full milk caron, 10 cm below he op. Wha is he iniial veloci of ouflow? a. 1.4 m/s b. 2.0 m/s c. 2.8 m/s d. 3.9 m/s e. 2.8 m/s Answer: a 2) In a wind unnel he pressure

More information

Module 3: The Damped Oscillator-II Lecture 3: The Damped Oscillator-II

Module 3: The Damped Oscillator-II Lecture 3: The Damped Oscillator-II Module 3: The Damped Oscillaor-II Lecure 3: The Damped Oscillaor-II 3. Over-damped Oscillaions. This refers o he siuaion where β > ω (3.) The wo roos are and α = β + α 2 = β β 2 ω 2 = (3.2) β 2 ω 2 = 2

More information

Chapter 15 Lasers, Laser Spectroscopy, and Photochemistry

Chapter 15 Lasers, Laser Spectroscopy, and Photochemistry Chaper 15 Lasers, Laser Specroscopy, and Phoochemisry ackground: In his chaper we will alk abou ligh amplificaion by simulaed emission of radiaion (LASER), heir impac on specroscopy and ligh-iniiaed reacions

More information

1. Kinematics I: Position and Velocity

1. Kinematics I: Position and Velocity 1. Kinemaics I: Posiion and Velociy Inroducion The purpose of his eperimen is o undersand and describe moion. We describe he moion of an objec by specifying is posiion, velociy, and acceleraion. In his

More information

Phys1112: DC and RC circuits

Phys1112: DC and RC circuits Name: Group Members: Dae: TA s Name: Phys1112: DC and RC circuis Objecives: 1. To undersand curren and volage characerisics of a DC RC discharging circui. 2. To undersand he effec of he RC ime consan.

More information

t A. 3. Which vector has the largest component in the y-direction, as defined by the axes to the right?

t A. 3. Which vector has the largest component in the y-direction, as defined by the axes to the right? Ke Name Insrucor Phsics 1210 Exam 1 Sepember 26, 2013 Please wrie direcl on he exam and aach oher shees of work if necessar. Calculaors are allowed. No noes or books ma be used. Muliple-choice problems

More information

Exam 1 Solutions. 1 Question 1. February 10, Part (A) 1.2 Part (B) To find equilibrium solutions, set P (t) = C = dp

Exam 1 Solutions. 1 Question 1. February 10, Part (A) 1.2 Part (B) To find equilibrium solutions, set P (t) = C = dp Exam Soluions Februar 0, 05 Quesion. Par (A) To find equilibrium soluions, se P () = C = = 0. This implies: = P ( P ) P = P P P = P P = P ( + P ) = 0 The equilibrium soluion are hus P () = 0 and P () =..

More information

Algorithm Analysis of Numerical Solutions to the Heat Equation

Algorithm Analysis of Numerical Solutions to the Heat Equation Inernaional Journal of Compuer Applicaions (97 8887) Volume 79 No, Ocober Algorihm Analysis of Numerical Soluions o he Hea Equaion Edmund Agyeman Deparmen of Mahemaics, Kwame Nkrumah Universiy of Science

More information

Lecture Outline. Introduction Transmission Line Equations Transmission Line Wave Equations 8/10/2018. EE 4347 Applied Electromagnetics.

Lecture Outline. Introduction Transmission Line Equations Transmission Line Wave Equations 8/10/2018. EE 4347 Applied Electromagnetics. 8/10/018 Course Insrucor Dr. Raymond C. Rumpf Office: A 337 Phone: (915) 747 6958 E Mail: rcrumpf@uep.edu EE 4347 Applied Elecromagneics Topic 4a Transmission Line Equaions Transmission These Line noes

More information

Nice Try. Some Properties of Nuclei. Charge and mass Introduction: Development of Nuclear Physics. Nuclear Binding, Radioactivity

Nice Try. Some Properties of Nuclei. Charge and mass Introduction: Development of Nuclear Physics. Nuclear Binding, Radioactivity SPHUI Physics Modern undersanding: he ``onion picure Nuclear Binding, Radioaciviy Nucleus Proons om and neurons Le s see wha s inside! Nice Try Inroducion: Developmen of Nuclear Physics 1896 he birh of

More information

CHEAPEST PMT ONLINE TEST SERIES AIIMS/NEET TOPPER PREPARE QUESTIONS

CHEAPEST PMT ONLINE TEST SERIES AIIMS/NEET TOPPER PREPARE QUESTIONS CHEAPEST PMT ONLINE TEST SERIES AIIMS/NEET TOPPER PREPARE QUESTIONS For more deails see las page or conac @aimaiims.in Physics Mock Tes Paper AIIMS/NEET 07 Physics 06 Saurday Augus 0 Uni es : Moion in

More information

Sterilization D Values

Sterilization D Values Seriliaion D Values Seriliaion by seam consis of he simple observaion ha baceria die over ime during exposure o hea. They do no all live for a finie period of hea exposure and hen suddenly die a once,

More information

Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture

Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture Scienific Herald of he Voronezh Sae Universiy of Archiecure and Civil Engineering. Consrucion and Archiecure UDC 625.863.6:551.328 Voronezh Sae Universiy of Archiecure and Civil Engineering Ph. D. applican

More information

0 time. 2 Which graph represents the motion of a car that is travelling along a straight road with a uniformly increasing speed?

0 time. 2 Which graph represents the motion of a car that is travelling along a straight road with a uniformly increasing speed? 1 1 The graph relaes o he moion of a falling body. y Which is a correc descripion of he graph? y is disance and air resisance is negligible y is disance and air resisance is no negligible y is speed and

More information

AP Chemistry--Chapter 12: Chemical Kinetics

AP Chemistry--Chapter 12: Chemical Kinetics AP Chemisry--Chaper 12: Chemical Kineics I. Reacion Raes A. The area of chemisry ha deals wih reacion raes, or how fas a reacion occurs, is called chemical kineics. B. The rae of reacion depends on he

More information

Chapter 13 Homework Answers

Chapter 13 Homework Answers Chaper 3 Homework Answers 3.. The answer is c, doubling he [C] o while keeping he [A] o and [B] o consan. 3.2. a. Since he graph is no linear, here is no way o deermine he reacion order by inspecion. A

More information

Traveling Waves. Chapter Introduction

Traveling Waves. Chapter Introduction Chaper 4 Traveling Waves 4.1 Inroducion To dae, we have considered oscillaions, i.e., periodic, ofen harmonic, variaions of a physical characerisic of a sysem. The sysem a one ime is indisinguishable from

More information

15. Bicycle Wheel. Graph of height y (cm) above the axle against time t (s) over a 6-second interval. 15 bike wheel

15. Bicycle Wheel. Graph of height y (cm) above the axle against time t (s) over a 6-second interval. 15 bike wheel 15. Biccle Wheel The graph We moun a biccle wheel so ha i is free o roae in a verical plane. In fac, wha works easil is o pu an exension on one of he axles, and ge a suden o sand on one side and hold he

More information