34 Pages

#### 4 - Motion in Two Dimensions

Course: PHYS 102, Spring 2011

School: Nanjing University

Word Count: 20316

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4 Motion Chapter in Two Dimensions CHAPTE R OUTLI N E 4.1 The Position, Velocity, and Acceleration Vectors 4.2 Two-Dimensional Motion with Constant Acceleration 4.3 Projectile Motion 4.4 Uniform Circular Motion 4.5 Tangential and Radial Acceleration 4.6 Relative Velocity and Relative Acceleration L Lava spews from a volcanic eruption. Notice the parabolic paths of embers projected into the air. We will nd in...

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Nanjing University - PHYS - 102
Chapter 5The Laws of MotionCHAPTE R OUTLI N E5.1 The Concept of Force 5.2 Newtons First Law and Inertial Frames 5.3 Mass 5.4 Newtons Second Law 5.5 The Gravitational Force and Weight 5.6 Newtons Third Law 5.7 Some Applications of Newtons Laws 5.8 Force
Nanjing University - PHYS - 102
Chapter 6Circular Motion and Other Applications of Newtons LawsCHAPTE R OUTLI N E6.1 Newtons Second Law Applied to Uniform Circular Motion 6.2 Nonuniform Circular Motion 6.3 Motion in Accelerated Frames 6.4 Motion in the Presence of Resistive Forces 6.
Nanjing University - PHYS - 102
Chapter 7Energy and Energy TransferCHAPTE R OUTLI N E7.1 Systems and Environments 7.2 Work Done by a Constant Force 7.3 The Scalar Product of Two Vectors 7.4 Work Done by a Varying Force 7.5 Kinetic Energy and the WorkKinetic Energy Theorem 7.6 The Non
Nanjing University - PHYS - 102
Chapter 8Potential EnergyCHAPTE R OUTLI N E8.1 Potential Energy of a System 8.2 The Isolated System Conservation of Mechanical Energy 8.3 Conservative and Nonconservative Forces 8.4 Changes in Mechanical Energy for Nonconservative Forces 8.5 Relationsh
Nanjing University - PHYS - 102
Chapter 9Linear Momentum and CollisionsCHAPTE R OUTLI N E9.1 Linear Momentum and Its Conservation 9.2 Impulse and Momentum 9.3 Collisions in One Dimension 9.4 Two-Dimensional Collisions 9.5 The Center of Mass 9.6 Motion of a System of Particles 9.7 Roc
Nanjing University - PHYS - 102
Chapter 10Rotation of a Rigid Object About a Fixed AxisCHAPTE R OUTLI N E10.1 Angular Position, Velocity, and Acceleration 10.2 Rotational Kinematics: Rotational Motion with Constant Angular Acceleration 10.3 Angular and Linear Quantities 10.4 Rotation
Nanjing University - PHYS - 102
Chapter 11Angular MomentumCHAPTE R OUTLI N E11.1 The Vector Product and Torque 11.2 Angular Momentum 11.3 Angular Momentum of a Rotating Rigid Object 11.4 Conservation of Angular Momentum 11.5 The Motion of Gyroscopes and Tops 11.6 Angular Momentum as
Nanjing University - PHYS - 102
362Chapter 12C H A P T E R 1 2 Static Equilibrium and ElasticityStatic Equilibrium and ElasticityCHAPTE R OUTLI N E12.1 The Conditions for Equilibrium 12.2 More on the Center of Gravity 12.3 Examples of Rigid Objects in Static Equilibrium 12.4 Elasti
Nanjing University - PHYS - 102
Chapter 13Universal GravitationCHAPTE R OUTLI N E13.1 Newtons Law of Universal Gravitation 13.2 Measuring the Gravitational Constant 13.3 Free-Fall Acceleration and the Gravitational Force 13.4 Keplers Laws and the Motion of Planets 13.5 The Gravitatio
Nanjing University - PHYS - 102
Chapter 14Fluid MechanicsCHAPTE R OUTLI N E14.1 Pressure 14.2 Variation of Pressure with Depth 14.3 Pressure Measurements 14.4 Buoyant Forces and Archimedess Principle 14.5 Fluid Dynamics 14.6 Bernoullis Equation 14.7 Other Applications of Fluid Dynami
Nanjing University - PHYS - 102
Oscillations and Mechanical WavesWPA R T2e begin this new part of the text by studying a special type of motion called periodic motion. This is a repeating motion of an object in which the object continues to return to a given position after a xed tim
Nanjing University - PHYS - 102
Chapter 16Wave MotionCHAPTE R OUTLI N E16.1 Propagation of a Disturbance 16.2 Sinusoidal Waves 16.3 The Speed of Waves on Strings 16.4 Reection and Transmission 16.5 Rate of Energy Transfer by Sinusoidal Waves on Strings 16.6 The Linear Wave EquationL
Nanjing University - PHYS - 102
Chapter 17Sound WavesCHAPTE R OUTLI N E17.1 Speed of Sound Waves 17.2 Periodic Sound Waves 17.3 Intensity of Periodic Sound Waves 17.4 The Doppler Effect 17.5 Digital Sound Recording 17.6 Motion Picture SoundL Human ears have evolved to detect sound w
Nanjing University - PHYS - 102
Chapter 18Superposition and Standing WavesCHAPTE R OUTLI N E18.1 Superposition and Interference 18.2 Standing Waves 18.3 Standing Waves in a String Fixed at Both Ends 18.4 Resonance 18.5 Standing Waves in Air Columns 18.6 Standing Waves in Rods and Mem
Nanjing University - PHYS - 102
Thermodynamicse now direct our attention to the study of thermodynamics, which involves situations in which the temperature or state (solid, liquid, gas) of a system changes due to energy transfers. As we shall see, thermodynamics is very successful in e
Nanjing University - PHYS - 102
Chapter 20Heat and the First Law of ThermodynamicsCHAPTE R OUTLI N E20.1 Heat and Internal Energy 20.2 Specic Heat and Calorimetry 20.3 Latent Heat 20.4 Work and Heat in Thermodynamic Processes 20.5 The First Law of Thermodynamics 20.6 Some Application
Nanjing University - PHYS - 102
Chapter 21The Kinetic Theory of GasesCHAPTE R OUTLI N E21.1 Molecular Model of an Ideal Gas 21.2 Molar Specic Heat of an Ideal Gas 21.3 Adiabatic Processes for an Ideal Gas 21.4 The Equipartition of Energy 21.5 The Boltzmann Distribution Law 21.6 Distr
Nanjing University - PHYS - 102
Chapter 22Heat Engines, Entropy, and the Second Law of ThermodynamicsCHAPTE R OUTLI N E22.1 Heat Engines and the Second Law of Thermodynamics 22.2 Heat Pumps and Refrigerators 22.3 Reversible and Irreversible Processes 22.4 The Carnot Engine 22.5 Gasol
Nanjing University - PHYS - 102
Electricity and MagnetismWPA R T4e now study the branch of physics concerned with electric and magnetic phenomena. The laws of electricity and magnetism have a central role in the operation of such devices as radios, televisions, electric motors, comp
Nanjing University - PHYS - 102
Chapter 24Gausss LawCHAPTE R OUTLI N E24.1 Electric Flux 24.2 Gausss Law 24.3 Application of Gausss Law to Various Charge Distributions 24.4 Conductors in Electrostatic Equilibrium 24.5 Formal Derivation of Gausss LawL In a table-top plasma ball, the
Nanjing University - PHYS - 102
Chapter 25Electric PotentialCHAPTE R OUTLI N E25.1 Potential Difference and Electric Potential 25.2 Potential Differences in a Uniform Electric Field 25.3 Electric Potential and Potential Energy Due to Point Charges 25.4 Obtaining the Value of the Elec
Nanjing University - PHYS - 102
Chapter 26Capacitance and DielectricsCHAPTE R OUTLI N E26.1 Denition of Capacitance 26.2 Calculating Capacitance 26.3 Combinations of Capacitors 26.4 Energy Stored in a Charged Capacitor 26.5 Capacitors with Dielectrics 26.6 Electric Dipole in an Elect
Nanjing University - PHYS - 102
Chapter 27Current and ResistanceCHAPTE R OUTLI N E27.1 Electric Current 27.2 Resistance 27.3 A Model for Electrical Conduction 27.4 Resistance and Temperature 27.5 Superconductors 27.6 Electrical PowerL These power lines transfer energy from the power
Nanjing University - PHYS - 102
858Chapter 28C HAPTE R 2 8 Direct Current CircuitsDirect Current CircuitsCHAPTE R OUTLI N E28.1 Electromotive Force 28.2 Resistors in Series and Parallel 28.3 Kirchhoffs Rules 28.4 RC Circuits 28.5 Electrical Meters 28.6 Household Wiring and Electric
Nanjing University - PHYS - 102
Chapter 29Magnetic FieldsCHAPTE R OUTLI N E29.1 Magnetic Fields and Forces 29.2 Magnetic Force Acting on a Current-Carrying Conductor 29.3 Torque on a Current Loop in a Uniform Magnetic Field 29.4 Motion of a Charged Particle in a Uniform Magnetic Fiel
Nanjing University - PHYS - 102
Chapter 30Sources of the Magnetic FieldCHAPTE R OUTLI N E30.1 The BiotSavart Law 30.2 The Magnetic Force Between Two Parallel Conductors 30.3 Ampres Law 30.4 The Magnetic Field of a Solenoid 30.5 Magnetic Flux 30.6 Gausss Law in Magnetism 30.7 Displace
Nanjing University - PHYS - 102
Chapter 31Faradays LawCHAPTE R OUTLI N E31.1 Faradays Law of Induction 31.2 Motional emf 31.3 Lenzs Law 31.4 Induced emf and Electric Fields 31.5 Generators and Motors 31.6 Eddy Currents 31.7 Maxwells EquationsL In a commercial electric power plant, l
Nanjing University - PHYS - 102
Chapter 32InductanceCHAPTE R OUTLI N E32.1 Self-Inductance 32.2 RL Circuits 32.3 Energy in a Magnetic Field 32.4 Mutual Inductance 32.5 Oscillations in an LC Circuit 32.6 The RLC CircuitL An airport metal detector contains a large coil of wire around
Nanjing University - PHYS - 102
Chapter 33Alternating Current CircuitsCHAPTE R OUTLI N E33.1 AC Sources 33.2 Resistors in an AC Circuit 33.3 Inductors in an AC Circuit 33.4 Capacitors in an AC Circuit 33.5 The RLC Series Circuit 33.6 Power in an AC Circuit 33.7 Resonance in a Series
Nanjing University - PHYS - 102
Chapter 34Electromagnetic WavesCHAPTE R OUTLI N E34.1 Maxwells Equations and Hertzs Discoveries 34.2 Plane Electromagnetic Waves 34.3 Energy Carried by Electromagnetic Waves 34.4 Momentum and Radiation Pressure 34.5 Production of Electromagnetic Waves
Nanjing University - PHYS - 102
Light and Opticsight is basic to almost all life on the Earth. Plants convert the energy transferred by sunlight to chemical energy through photosynthesis. In addition, light is the principal means by which we are able to transmit and receive information
Nanjing University - PHYS - 102
Chapter 36Image FormationCHAPTE R OUTLI N E36.1 Images Formed by Flat Mirrors 36.2 Images Formed by Spherical Mirrors 36.3 Images Formed by Refraction 36.4 Thin Lenses 36.5 Lens Aberrations 36.6 The Camera 36.7 The Eye 36.8 The Simple Magnier 36.9 The
Nanjing University - PHYS - 102
Chapter 37Interference of Light WavesCHAPTE R OUTLI N E37.1 Conditions for Interference 37.2 Youngs Double-Slit Experiment 37.3 Intensity Distribution of the Double-Slit Interference Pattern 37.4 Phasor Addition of Waves 37.5 Change of Phase Due to Ree
Nanjing University - PHYS - 102
Chapter 38Diffraction Patterns and PolarizationCHAPTE R OUTLI N E38.1 Introduction to Diffraction Patterns 38.2 Diffraction Patterns from Narrow Slits 38.3 Resolution of Single-Slit and Circular Apertures 38.4 The Diffraction Grating 38.5 Diffraction o
Nanjing University - PHYS - 102
Modern Physicst the end of the nineteenth century, many scientists believed that they had learned most of what there was to know about physics. Newtons laws of motion and his theory of universal gravitation, Maxwells theoretical work in unifying electric
Nanjing University - PHYS - 102
Answers to Odd-Numbered ProblemsCHAPTE R 11. 0.141 nm 3. 2.15 5. 4 104 kg/m3 r 13)/3 10 24 g (b) 55.9 u 10 22 g 1026 atoms 9.28 10235. (a) 3.75 m/s 7. (a) 11. 1.34 g(b) 0 3.8 m/s (c) 4.0 s 2.5 m/s (c) 0 (d) 5.0 m/s2.4 m/s (b) 104 m/s2 (b)9. (a) 5.0
Nanjing University - PHYS - 102
Appendix A TablesTable A.1Conversion FactorsLength m 1 meter 1 centimeter 1 kilometer 1 inch 1 foot 1 mile Mass kg 1 kilogram 1 gram 1 slug 1 atomic mass unitNote : 1 metric toncm 102 1 105 2.540 30.48 1.609km 10 3 10 5 1 2.540 3.048 1.609in . 39.3
Nanjing University - PHYS - 102
Appendix B Mathematics ReviewThese appendices in mathematics are intended as a brief review of operations and methods. Early in this course, you should be totally familiar with basic algebraic techniques, analytic geometry, and trigonometry. The appendic
Nanjing University - PHYS - 102
Appendix C Periodic Table of the ElementsGroup IGroup IITransition elementsH1.007 91s1Li6.9412s 13Be9.01222s 24SymbolCa40.0784s 220Atomic number Electron configurationNa22.9903s 111Mg24.3053s 212Atomic mass K39.0984s 119
Nanjing University - PHYS - 102
Appendix D SI UnitsTable D.1SI UnitsSI Base Unit Base Quantity Length Mass Time Electric current Temperature Amount of substance Luminous intensity Name Meter Kilogram Second Ampere Kelvin Mole Candela Symbol m kg s A K mol cdTable D.2Some Derived SI
Nanjing University - PHYS - 102
Appendix E Nobel PrizesAll Nobel Prizes in physics are listed (and marked with a P), as well as relevant Nobel Prizes in Chemistry (C). The key dates for some of the scientic work are supplied; they often antedate the prize considerably. 1901 1902 1903 1
UT Dallas - CHEM - 2325
CHEM 2325 NAME (PLEASE PRINT): WebCT User Name: ANSWER SHEET SAMPLE TEST 1Detach the first page as your answer sheet and turn in for grading. You may keep the rest for yourself. 2. (5 pts)1. (5 pts)3. (5 pts)4. (5 pts)5. (5 pts)6. (5 pts)7. (5 pts
UT Dallas - CHEM - 2325
CHEM 2325 NAME (PLEASE PRINT): WebCT User Name: ANSWER SHEET SAMPLE TEST 2Detach the first page as your answer sheet and turn in for grading. You may keep the rest for yourself. 2. (5 pts)1. (5 pts)3. (5 pts)4. (5 pts)5. (5 pts)6. (5 pts)7. (5 pts
UT Dallas - CHEM - 2325
CHEM 2325SAMPLE TEST 31-12. Draw a structure of ONE major product for each of the following reactions in a blank box on the answer sheet. Indicate all stereochemistry if applicable. 1. (5 pts)O O NaOCH2CH3 CH3CH2OH2. (5 pts)O1)NH22) NaBH43. (5 pt
The University of Oklahoma - ECON - 101
Approved by CET 6/11/2007Spring 2011 Academic CalendarApril 1, 2010 Thursday October 1, 2010 Friday October 25, 2010 Monday Oct. 25-Dec. 3, 2010 November 1, 2010 Monday November 1, 2010 Monday December 3, 2010 Friday December 16, 2010 January 1, 2011 De
Santa Rosa - GEOG - 3
Five Themes of Geography in the context of SexualityClick to edit Master subtitle stylePrepared by: Mohammad O. Rasid 2/25/11Five themes of geography exemplify the geographical imagination, and illustrate how geographers have researched sexuality.2/25
Santa Rosa - GEOG - 3
H ow is English Related to L anguages Spoken Elsewhere inI ndo-European Language Sir William Jones (1786) theory about the similarities between Latin, Greek and SanskritEmerged from Proto-Indo-European language which is believed to be the mother tongue
Santa Rosa - GEOG - 3
Group 1Geography of SexualityBasic ConceptsGEOGRAPHY OF SEXUALITY Sexuality and space is a field of study within human geography. The phrase encompasses all relationships and interactions between human sexuality, space and place.GEOGRAPHY OF SEXUALIT
Santa Rosa - GEOG - 3
Spatialconstraints onhomosexualityClick to edit Master subtitle style2/25/11GayandLesbianConsumerismthey expresses their identities Click to edit Master subtitle style through the purchase of certain clothes, CDs, beverages, and accessories or through
Santa Rosa - GEOG - 3
W hy Do People Living in Different Locations Speak English Differently?ClicktoeditMastersubtitlestyleGeographyof 2/25/11 LanguageOutlineGeographyandDialect DevelopmentofDialectsinEnglish BritishReceivedPronunciation(BRP) DialectsinEnglandCurrentdia
York University - PHIL - 1100
Alice Furnari Freedom and Reason in Kant24 /2/97Morality, Kant says, cannot be regarded as a set of rules which prescribe the means necessary to the achievement of a given end; its rules must be obeyed without consideration of the consequences that will
York University - PHIL - 1100
We ought then regard the present state of the universe as the effect of its previous state and the cause of the one which is to follow. An intelligence knowing at a given instant of time all the forces operating in nature, as well as the position at that
York University - PHIL - 1100
Free Will Versus Determinism for years. is the The controversy between free will and determinism has been argued about What is the difference between the two? Looking in a dictionary, free willpower, attributed to human beings, of making free choices tha
York University - PHIL - 1100
Human Nature Is Inherently Bad There are many theories as to Human nature. One of Which exists, under the thoughts of a prominent philosopher, and founder of Psychoanalysis Sigmund Freud. His deductive argument, entails his conclusion that man is bad, or
York University - PHIL - 1100
The Life &amp; Philosophy of Friedrich Nietzsche Philosophy Class Essay Born: 1844. Rocken, Germany Died: 1900. Weimar, Germany Major Works: The Gay Science (1882), Thus Spoke Zarathustra (1883-1885), Beyond Good &amp; Evil (1886), On the Genealogy of Morals (188
York University - PHIL - 1100
While acquiring knowledge on the topics of Functionalism and Physicalism, I ran across many disagreement between the two. Interestingly, those disagreements gave me an impression of different sides arguing with their own support from their own theories. A
York University - PHIL - 1100
2/4/97 G Galileo and Newton Galileo believed the physical world to be bounded. He says that all material things have &quot;this or that shape&quot; and are small or large in relation to other things. He also says that material objects are either in motion or at res
York University - PHIL - 1100
Hollywood has been showing it to us for years. Frankenstein, The Six Million Dollar Man, Jurassic Park, etc.; the list goes on. All these movies show man's instinct to create. This fiction of playing God in recent years is becoming a reality. In 1952, deo
York University - PHIL - 1100
Title: &quot;Power Comes From the Barrel of a Gun&quot; - took the opposing view &quot;Would you respect me, If I didnt have this gun? Cause without it, I dont get it, And thats why I carry one.&quot; -Phil Collins Power. A word from which many meanings derive. To each indiv
York University - PHIL - 1100
GOODNESS K KantThe philosopher I used is Immanuel Kant. He was very practical in his thinking of goodness. A quote of his was I ought, therefore I can. His view was good anything is under good will . He believed good will was the primary goodness, good i
York University - PHIL - 1100
Hammurabi In his position as King of Babylonia, Hammurabi managed to organize the world's first code of laws and establish Babylon as the dominant and successful Amorite city of its time. &quot;Records written on clay tablets show that Hammurabi was a very cap