ASTRODYNAMICS. o o o. Early Space Exploration. Kepler's Laws. Nicolaus Copernicus ( ) Placed Sun at center of solar system


 Magdalen Harmon
 1 years ago
 Views:
Transcription
1 ASTRODYNAMICS Early Space Explratin Niclaus Cpernicus ( ) Placed Sun at center f slar system Shwed Earth rtates n its axis nce a day Thught planets rbit in unifrm circles (wrng!) Jhannes Kepler ( ) Discvered rbit f Mars was nt circular Cncluded that planets mve arund the Sun in elliptical rbits with the Sun nt at the center but at a fcus Kepler's Laws Kepler's 1st Law: The rbits f the planets are ellipses with the Sun at ne fcus. Kepler's 2nd Law: The line jining a planet t the Sun sweeps ut equal area in equal times. * This means that the clser a planet is t the Sun, the faster it will travel. Kepler's 3rd Law: 1
2 The square f an rbital perid is directly prprtinal t the cube f the average distance between the Sun and a planet: * This means that the farther a planet is frm the Sun, the lnger it takes t g arund. * If yu knw the distance f a planet frm the Sun, yu knw hw lng that planet takes t g arund. Gravity Gravity is the idea that tw (r mre) chunks f matter tend t attract t each ther. The mre mass they have, the mre they will attract. Galile Galilei ( ) Used telescpes t revlutinize ur understanding f the Universe Discvered that all bjects regardless f mass fall at the same rate when drpped frm the same height (if air resistance is neglected). Isaac Newtn ( ) Wrked ut laws f mtin and gravity, revlutinizing ur understanding f the wrld. Orbits f planets and satellites are based n Newtn's laws! Newtn's Laws: 1. A bdy at rest r mving in a straight line at a cnstant speed stays that way unless a frce is applied t it. 2. A bdy's mass times its acceleratin is equal t the applied frce (F=Ma). 3. T every actin there is always ppsed an equal reactin. Newtn's Universal Law f Gravitatin: The frce f gravity between tw bdies is directly prprtinal t the prduct f their masses and inversely prprtinal t the square f the distance between them. Orbit Arund the Earth Orbit An rbit is a fixed path in space that a spacecraft fllws. Depending n the missin, the size, shape, and rientatin f an rbit will vary. Satellite A satellite is any bject in rbital mtin (fr example, the Sun, Mn, Earth, a spacecraft, r the space shuttle). The laws that determine the rbital mtin f a satellite are the same, n matter what larger bdy the satellite rbits. The Earth's gravity determines the size and shape f the rbit f a nearby spacecraft. The law f gravity requires that the spacecraft must rbit in a plane that passes thrugh the center f the Earth. 2
3 All Earthrbiting satellites must rbit in space t avid cllisins with the trillins f air mlecules frm the atmsphere that surrund the surface f the Earth. Space begins at abut 100 miles abve the surface f the Earth, where the air is s thin that it has little effect n a spacecraft. Lw Earth Orbit Lw Earth Orbit (LEO) is a type f rbit. The space shuttle flies in a Lw Earth Orbit. The altitude in LEO varies frm 100 t 300 miles abve the Earth's surface. (Cmmunicatin satellites rbit at apprximately 25,000 miles frm Earth.) Since it takes the shuttle abut 90 minutes t cmplete ne rbit arund the glbe, it can cmplete 16 t 17 rbits in ne day. On a relative scale, the shuttle rbits the Earth very clse t its surface. The radius f the Earth is apprximately 4,000 miles, r abut 40 times larger than the distance frm the surface f Earth t where the shuttle rbits. (On a relative scale, if the Earth was the size f a basketball, the shuttle wuld rbit at a thumbnail's distance frm the ball's surface.) NOTE: An bject in Lw Earth Orbit is in an elliptical rbit. (A circular rbit is simply a special case f an elliptical rbit.) Hw t Describe an Orbit There are six Classical Orbital Elements (see next sectin) that are necessary fr us t knw abut an rbit and a satellite's place in it. These elements help us describe: Orbit size Orbit shape Orbit rientatin Orbit lcatin Elliptical Gemetry 3
4 An ellipse lks like an val, r squashed circle. The lngest line drawn frm ne end f the ellipse (thrugh the center) t the ther side is called the majr axis (2a). Every ellipse has tw fci (F and F'), and the distances between each fcus and the center f the ellipse are equal (c). In a circle, the tw fci lie n tp f each ther. The pint n the semimajr axis clsest t the Earth is called the perigee, while the pint n this axis farthest frm the Earth is called the apgee. Defining the Classical Orbital Elements I. Semimajr Axis The size f the rbit is described by the semimajr axis (a), which is nehalf the distance acrss the majr (lng) axis f the rbit. II. Eccentricity Eccentricity (e) specifies the shape f an rbit and is given by the rati f the distance between the tw fci and the length f the majr axis. e = 2c/2a The eccentricity f a circular rbit is zer, and can range frm zer t less than ne fr an ellipse. III. Inclinatin (i) [degrees] The angle between the plane f the equatr and the rbital plane. 4
5 IV. Right Ascensin f the Ascending Nde (Ω) The angle between the Sun and the intersectin f the equatrial plane and the rbit n the first day f spring in the Nrthern Hemisphere. The day is called the vernal equinx. Lking dwn frm abve the Nrth Ple, the right ascensin f the ascending nde is psitive cunterclckwise. VI. V. Argument f Perigee (w) [degrees] The angle between the ascending nde and the rbit's pint f clsest apprach t the Earth (perigee). True Anmaly (v)[degrees] The angle between the perigee and the vehicle in the rbit plane. 5
6 Satellite Grund Tracks The Six Classical Orbital Elements allw us t describe what an rbit lks like in space. What we need t knw next is what part f the Earth the satellite is passing ver at any given time. A grundtrack shws the lcatin n the Earth that the spacecraft flies directly ver during its rbital path arund the Earth. T understand grundtracks, we need t knw the fllwing: The grundtrack fllws what is called a great circle rute arund the Earth. A great circle is any circle which cuts thrugh the center f the Earth. All grundtrack drawings use the latitude/lngitude system. Latitude: Latitude measures hw far nrth r suth a pint lies ff the equatr. The equatr is at zer degrees latitude, the Nrth Ple is at 90 degrees nrth latitude and the Suth Ple is at 90 degrees Suth latitude. Lngitude: Lngitude measures hw far east r west a pint lies frm an imaginary line that runs frm the Nrth Ple t the Suth Ple thrugh Greenwich, England. This line is called the Prime Meridian. The lngitude varies frm 0 degrees at the prime meridian t 180 degrees west and 180 east. Grundtrack drawings appear n a Mercatr prjectin f the Earth's surface. This type f map allws the entire surface f the rund wrld t appear n a rectangle. The prjectin f a spacecraft rbit n a flat map (Mercatr prjectin) lks like a sine wave. This is the spacecraft's grundtrack. If the Earth did nt rtate, the grundtrack f an rbit wuld cntinuusly repeat. But, the Earth spins eastward n its axis at nearly 1,000 mph at the equatr while the spacecraft rbits arund it. 6
7 Hw des this affect the grundtracks? Even thugh the spacecraft rbit stays fixed in space, the Earth rtates t the east. S t a pint fixed n the Earth, the spacecraft appears t shift t the west during successive rbits. The highest latitude reached by a satellite rbit is equal t its inclinatin. T illustrate this cncept, the fllwing grundtracks represent rbits with the same perid, but A has an inclinatin f 10 degrees, B has an inclinatin f 30 degrees, C has an inclinatin f 50 degrees, and D has an inclinatin f 85 degrees. Field f View Field f View (FOV) is the angle that describes the amunt f the Earth's surface the spacecraft can see at any given time. The higher the spacecraft is abve the Earth, the mre yu can see. Thus, the size f the rbit determines the spacecraft's field f view. The area f cverage n the Earth's surface is called the swath width. 7
Kepler's Laws of Planetary Motion
Writing Assignment Essay n Kepler s Laws. Yu have been prvided tw shrt articles n Kepler s Three Laws f Planetary Mtin. Yu are t first read the articles t better understand what these laws are, what they
More information14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?
Physics 3204 Public Exam Questins Unit 1: Circular Mtin NAME: August 2009 12. Which
More informationChapter 1 Notes Using Geography Skills
Chapter 1 Ntes Using Gegraphy Skills Sectin 1: Thinking Like a Gegrapher Gegraphy is used t interpret the past, understand the present, and plan fr the future. Gegraphy is the study f the Earth. It is
More information"1 O O O. U 7 P fl> 1 3. jff. (t) o o 17 PAa s: A  o 0'»«« "Tf O ") ftt Ti 0  CO 1 O. fa n. i,, I. n F en 2.0» 4 T2. 5 Ut.
crv/ 3 P U 7 P fl> 1 3 (t) jff? "1 s P 917 ~* PAa s: A  "C '»««in i,, I ftt Ti  c 4 T25 Ut j 3 C 1 p fa n l> n F en 2.» "Tf ") r . x 2 "Z * "! t :.!, 21,, V\ C fn
More informationMIDTERM EXAM SOLUTIONS
MIDTERM EXAM SOLUTIONS Science A30 The Atmsphere March 0, 008 INSTRUCTIONS WRITE YOUR NAME ON EVERY PAGE. Exam will last 80 minutes. Cmplete the prblems directly n the exam. Extra paper available if needed.
More informationPhys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1
Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity
More information( ) + θ θ. ω rotation rate. θ g geographic latitude   θ geocentric latitude   Reference Earth Model  WGS84 (Copyright 2002, David T.
1 Reference Earth Mdel  WGS84 (Cpyright, David T. Sandwell) ω spherid c θ θ g a parameter descriptin frmula value/unit GM e (WGS84) 3.9864418 x 1 14 m 3 s M e mass f earth  5.98 x 1 4 kg G gravitatinal
More information= m. Suppose the speed of a wave on a string is given by v = Κ τμ
Phys101 First Majr11 Zer Versin Sunday, Octber 07, 01 Page: 1 Q1. Find the mass f a slid cylinder f cpper with a radius f 5.00 cm and a height f 10.0 inches if the density f cpper is 8.90 g/cm 3 (1 inch
More informationand the Doppler frequency rate f R , can be related to the coefficients of this polynomial. The relationships are:
Algrithm fr Estimating R and R  (David Sandwell, SIO, August 4, 2006) Azimith cmpressin invlves the alignment f successive eches t be fcused n a pint target Let s be the slw time alng the satellite track
More informationNGSS High School Physics Domain Model
NGSS High Schl Physics Dmain Mdel Mtin and Stability: Frces and Interactins HSPS21: Students will be able t analyze data t supprt the claim that Newtn s secnd law f mtin describes the mathematical relatinship
More informationSolution to HW14 Fall2002
Slutin t HW14 Fall2002 CJ5 10.CQ.003. REASONING AND SOLUTION Figures 10.11 and 10.14 shw the velcity and the acceleratin, respectively, the shadw a ball that underges unirm circular mtin. The shadw underges
More informationAQA GCSE Physics. Topic 7: Magnetism and Electromagnetism. Notes. (Content in bold is for Higher Tier only)
AQA GCSE Physics Tpic 7: Magnetism and Electrmagnetism Ntes (Cntent in bld is fr Higher Tier nly) Magnets  Nrth and Suth Ples  Same Ples repel  Oppsite ples attract Permanent Magnets  Always magnetic,
More informationStudy Guide: PS. 10 Motion, Forces, Work & Simple Machines DESCRIBING MOTION SPEED
DESCRIBING MOTION Distance: hw far smething has mved; SI unit meters (m) Reference pint: nnmving bject used as a cmparisn pint t detect an bject s mtin. Displacement: the distance between the starting
More informationQ x = cos 1 30 = 53.1 South
Crdinatr: Dr. G. Khattak Thursday, August 0, 01 Page 1 Q1. A particle mves in ne dimensin such that its psitin x(t) as a functin f time t is given by x(t) =.0 + 7 t t, where t is in secnds and x(t) is
More informationSurface and Contact Stress
Surface and Cntact Stress The cncept f the frce is fundamental t mechanics and many imprtant prblems can be cast in terms f frces nly, fr example the prblems cnsidered in Chapter. Hwever, mre sphisticated
More informationWYSE Academic Challenge Sectional Physics 2007 Solution Set
WYSE caemic Challenge Sectinal Physics 7 Slutin Set. Crrect answer: E. Energy has imensins f frce times istance. Since respnse e. has imensins f frce ivie by istance, it clearly es nt represent energy.
More informationCHAPTER 6 WORK AND ENERGY
CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS 16. REASONING AND SOLUTION A trapeze artist, starting rm rest, swings dwnward n the bar, lets g at the bttm the swing, and alls reely t the net. An assistant,
More informationDebris Belts Around Vega
Debris Belts Arund Vega Tpic: Explanets Cncepts: Infrared bservatins, debris disks, explanet detectin, planetary systems Missins: Spitzer, Herschel Crdinated by the NASA Astrphysics Frum An Instructr s
More informationPhy 213: General Physics III 6/14/2007 Chapter 28 Worksheet 1
Ph 13: General Phsics III 6/14/007 Chapter 8 Wrksheet 1 Magnetic Fields & Frce 1. A pint charge, q= 510 C and m=1103 m kg, travels with a velcit f: v = 30 ˆ s i then enters a magnetic field: = 110 T ˆj.
More informationChapter 31: Galaxies and the Universe
Chapter 31: Galaxies and the Universe Sectin 1: The Milky Way Galaxy Objectives 1. Determine the size and shape f the Milky Way, as well as Earth s lcatin within it. 2. Describe hw the Milky Way frmed.
More information1. Recognize and analyze patterns in nature 2. Predict future events based on those patterns
UNIT 2: Mtin ESTABLISHED GOALS/ STANDARDS What cntent standards and prgram r missinrelated gal(s) will this unit address? PS.6.7.2 Cnduct investigatins demnstrating Newtn s first law f mtin PS.6.7.3
More informationExample 1. A robot has a mass of 60 kg. How much does that robot weigh sitting on the earth at sea level? Given: m. Find: Relationships: W
Eample 1 rbt has a mass f 60 kg. Hw much des that rbt weigh sitting n the earth at sea level? Given: m Rbt = 60 kg ind: Rbt Relatinships: Slutin: Rbt =589 N = mg, g = 9.81 m/s Rbt = mrbt g = 60 9. 81 =
More informationAstro 102 Lab #2. 1) Learning the user interface and setting up your home location
Name: Astr 102 Lab #2 Lab bjectives 1) Learn hw t use the Stellarium planetarium prgram by becming familiar with the user interface and cnfiguring the planetarium t yur present lcatin n Earth 2) Learn
More informationTo get you thinking...
T get yu thinking... 1.) What is an element? Give at least 4 examples f elements. 2.) What is the atmic number f hydrgen? What des a neutral hydrgen atm cnsist f? Describe its "mtin". 3.) Hw des an atm
More informationSection 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law
Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential
More informationCHAPTER 6  ENERGY. Approach #2: Using the component of mg along the line of d:
SlutinsCh. 6 (Energy) CHAPTER 6  ENERGY 6.) The f.b.d. shwn t the right has been prvided t identify all the frces acting n the bdy as it mves up the incline. a.) T determine the wrk dne by gravity
More informationPhysics 2010 Motion with Constant Acceleration Experiment 1
. Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin
More informationPHYSICAL PROPERTIES OF SEA WATER  TEMPERATURE AND SALINITY
NAME PHYSICAL PROPERTIES OF SEA WATER  TEMPERATURE AND SALINITY I. Sea water temperatures The distributin f surface temperatures fr the majr ceans is shwn in Figure 1. The istherms (lines f equal temperature)
More informationKinetics of Particles. Chapter 3
Kinetics f Particles Chapter 3 1 Kinetics f Particles It is the study f the relatins existing between the frces acting n bdy, the mass f the bdy, and the mtin f the bdy. It is the study f the relatin between
More information37 Maxwell s Equations
37 Maxwell s quatins In this chapter, the plan is t summarize much f what we knw abut electricity and magnetism in a manner similar t the way in which James Clerk Maxwell summarized what was knwn abut
More information20 Faraday s Law and Maxwell s Extension to Ampere s Law
Chapter 20 Faraday s Law and Maxwell s Extensin t Ampere s Law 20 Faraday s Law and Maxwell s Extensin t Ampere s Law Cnsider the case f a charged particle that is ming in the icinity f a ming bar magnet
More informationLecture 5: Equilibrium and Oscillations
Lecture 5: Equilibrium and Oscillatins Energy and Mtin Last time, we fund that fr a system with energy cnserved, v = ± E U m ( ) ( ) One result we see immediately is that there is n slutin fr velcity if
More informationSolar System Scale & Size Grades: 58 Prep Time: ~20 Minutes Lesson Time: ~60 minutes
Slar System Scale & Size Grades: 58 Prep Time: ~20 Minutes Lessn Time: ~60 minutes WHAT STUDENTS DO: Explre Size and Distance Relatinships amng Planets Students will create a mdel f the slar system using
More information**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!**
Tpics lists: UVVis Absrbance Spectrscpy Lab & ChemActivity 36 (nly thrugh 4) I. UVVis Absrbance Spectrscpy Lab Beer s law Relates cncentratin f a chemical species in a slutin and the absrbance f that
More informationActivity Guide Loops and Random Numbers
Unit 3 Lessn 7 Name(s) Perid Date Activity Guide Lps and Randm Numbers CS Cntent Lps are a relatively straightfrward idea in prgramming  yu want a certain chunk f cde t run repeatedly  but it takes a
More informationhttps://goo.gl/eaqvfo SUMMER REV: HalfLife DUE DATE: JULY 2 nd
NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: HalfLife Why? Every radiistpe has a characteristic rate f decay measured by its halflife. Halflives can be as shrt as a fractin f a secnd r as lng
More informationMODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
More informationLecture 6: Phase Space and Damped Oscillations
Lecture 6: Phase Space and Damped Oscillatins Oscillatins in Multiple Dimensins The preius discussin was fine fr scillatin in a single dimensin In general, thugh, we want t deal with the situatin where:
More informationThermodynamics and Equilibrium
Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,
More informationUnit 5: THE SOLAR SYSTEM 1.THE SOLAR SYSTEM What is a planetary system?
1.THE SOLAR SYSTEM 1.1. What is a planetary system? A planetary system cnsists f the varius nnstellar bjects rbiting a star such as planets, dwarf planets, mns, asterids, meterids, cmets, and interstellar
More informationPrecalculus A. Semester Exam Review
Precalculus A 015016 MCPS 015 016 1 The semester A eaminatin fr Precalculus cnsists f tw parts. Part 1 is selected respnse n which a calculatr will NOT be allwed. Part is shrt answer n which a calculatr
More informationOctober 19, NOTES Solar System Data Table.notebook. Which page in the ESRT???? million km million. average.
Celestial Object: Naturally occurring object that exists in space. NOT spacecraft or manmade satellites Which page in the ESRT???? Mean = average Units = million km How can we find this using the Solar
More informationPhys102 Second Major102 Zero Version Coordinator: AlShukri Thursday, May 05, 2011 Page: 1
Crdinatr: AlShukri Thursday, May 05, 2011 Page: 1 1. Particles A and B are electrically neutral and are separated by 5.0 μm. If 5.0 x 10 6 electrns are transferred frm particle A t particle B, the magnitude
More informationmaking triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y=
Intrductin t Vectrs I 21 Intrductin t Vectrs I 22 I. Determine the hrizntal and vertical cmpnents f the resultant vectr by cunting n the grid. X= y= J. Draw a mangle with hrizntal and vertical cmpnents
More informationEinstein's special relativity the essentials
VCE Physics Unit 3: Detailed study Einstein's special relativity the essentials Key knwledge and skills (frm Study Design) describe the predictin frm Maxwell equatins that the speed f light depends nly
More informationThermodynamics Partial Outline of Topics
Thermdynamics Partial Outline f Tpics I. The secnd law f thermdynamics addresses the issue f spntaneity and invlves a functin called entrpy (S): If a prcess is spntaneus, then Suniverse > 0 (2 nd Law!)
More information, which yields. where z1. and z2
The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin
More informationThe MAVEN Mission: Exploring Mars Climate History. Bruce Jakosky LASP / University of Colorado
The MAVEN Missin: Explring Mars Climate Histry Bruce Jaksky LASP / University f Clrad Evidence fr Surface Water n Ancient Mars Where Did the Water G? Where Did the CO 2 G? Abundant evidence fr ancient
More informationAdmin. MDP Search Trees. Optimal Quantities. Reinforcement Learning
Admin Reinfrcement Learning Cntent adapted frm Berkeley CS188 MDP Search Trees Each MDP state prjects an expectimaxlike search tree Optimal Quantities The value (utility) f a state s: V*(s) = expected
More informationGASES. PV = nrt N 2 CH 4 CO 2 O 2 HCN N 2 O NO 2. Pressure & Boyle s Law Temperature & Charles s Law Avogadro s Law IDEAL GAS LAW
GASES Pressure & Byle s Law Temperature & Charles s Law Avgadr s Law IDEAL GAS LAW PV = nrt N 2 CH 4 CO 2 O 2 HCN N 2 O NO 2 Earth s atmsphere: 78% N 2 21% O 2 sme Ar, CO 2 Sme Cmmn Gasses Frmula Name
More informationAP Statistics Notes Unit Two: The Normal Distributions
AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (zscres).
More informationCHAPTER 4 Dynamics: Newton s Laws of Motion /newtlaws/newtltoc.html
CHAPTER 4 Dynamics: Newtn s Laws f Mtin http://www.physicsclassrm.cm/class /newtlaws/newtltc.html Frce Newtn s First Law f Mtin Mass Newtn s Secnd Law f Mtin Newtn s Third Law f Mtin Weight the Frce f
More information. (7.1.1) This centripetal acceleration is provided by centripetal force. It is directed towards the center of the circle and has a magnitude
Lecture #71 Dynamics f Rtatin, Trque, Static Equilirium We have already studied kinematics f rtatinal mtin We discussed unifrm as well as nnunifrm rtatin Hwever, when we mved n dynamics f rtatin, the
More informationMIKE 21. Tidal Analysis and Prediction Module. Scientific Documentation
MIKE 1 Tidal Analysis and Predictin Mdule Scientific Dcumentatin MIKE 017 DHI headquarters Agern Allé 5 DK970 Hørshlm Denmark +45 4516 900 Telephne +45 4516 9333 Supprt +45 4516 99 Telefax mike@dhigrup.cm
More informationSolving Inequalities: Multiplying or Dividing by a Negative Number
11 Slving Inequalities: Multiplying r Dividing by a Negative Number We slve inequalities the same way we slve equatins, with ne exceptin. When we divide r multiply bth sides f an inequality by a negative
More informationLifting a Lion: Using Proportions
Overview Students will wrk in cperative grups t slve a realwrd prblem by using the bk Hw D yu Lift a Lin? Using a ty lin and a lever, students will discver hw much wrk is needed t raise the ty lin. They
More informationATOMIC ORBITAL MODEL OF THE ATOM Be able to draw rough sketches of s, p and d orbitals with different principal quantum numbers
Chapter 7 Atmic Structure and Peridicity ATOMIC ORBITAL MODEL OF THE ATOM Be able t draw rugh sketches f s, p and d rbitals with different principal quantum numbers ELECTRONIC CONFIGURATIONS Knw the difference
More informationName: Date: AP Physics 1 Per. Vector Addition Practice. 1. F1 and F2 are vectors shown below (N is a unit of force, it stands for Newton, not north)
ame: Date: AP Phsics 1 Per. Vectr Additin Practice 1. F1 and F are ectrs shwn belw ( is a unit f frce, it stands fr ewtn, nt nrth) F1 = 500 F = 300 40 50 a) Add the ectrs F1 and F: F1+F = 1. Add graphicall
More informationOur Lady Star of the Sea Religious Education CIRCLE OF GRACE LESSON PLAN  Grade 1
Our Lady Star f the Sea Religius Educatin CIRCLE OF GRACE LESSON PLAN  Grade 1 Opening Prayer: (ech prayer) Hly Spirit (ech) Shw us the way (ech) Be with us in all we think.. d and say (ech) Amen GETTING
More informationd sinθ = mλ Interference and diffraction double slit or diffraction grating d sinθ = mλ d sinθ is the path difference x (small angle approximation)
Wave Optics Wave prperties f light The clrs in a rainbw are ROY G. BIV (Red, range, yellw, green, blue, indig, vilet). White light is a cmbinatin f all clrs Black is the absence f light Wavelength determines
More informationModule M3: Relative Motion
Mdule M3: Relative Mtin Prerequisite: Mdule C1 Tpics: Nninertial, classical frames f reference Inertial, relativistic frames f reference References: Fwles and Cassiday Analytical Mechanics 7th ed (Thmsn/Brks/Cle
More informationCH 8. Universal Gravitation Planetary and Satellite Motion
CH 8 Universal Gravitation Planetary and Satellite Motion Sir Isaac Newton UNIVERSAL GRAVITATION Newton: Universal Gravitation Newton concluded that earthly objects and heavenly objects obey the same physical
More informationProvided by TryEngineering 
Prvided by TryEngineering  Lessn Fcus In this lessn, students build spinning tps ut f everyday materials. Their challenge is t design a spinning tp that can spin fr at least 10 secnds within a circle
More informationCorrections for the textbook answers: Sec 6.1 #8h)covert angle to a positive by adding period #9b) # rad/sec
U n i t 6 AdvF Date: Name: Trignmetric Functins Unit 6 Tentative TEST date Big idea/learning Gals In this unit yu will study trignmetric functins frm grade, hwever everything will be dne in radian measure.
More informationDepartment of Economics, University of California, Davis Ecn 200C Micro Theory Professor Giacomo Bonanno. Insurance Markets
Department f Ecnmics, University f alifrnia, Davis Ecn 200 Micr Thery Prfessr Giacm Bnann Insurance Markets nsider an individual wh has an initial wealth f. ith sme prbability p he faces a lss f x (0
More informationTechnology, Dhauj, Faridabad Technology, Dhauj, Faridabad
STABILITY OF THE NONCOLLINEAR LIBRATION POINT L 4 IN THE RESTRICTED THREE BODY PROBLEM WHEN BOTH THE PRIMARIES ARE UNIFORM CIRCULAR CYLINDERS WITH EQUAL MASS M. Javed Idrisi, M. Imran, and Z. A. Taqvi
More informationFebruary 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA
February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal
More informationChem 75 February 16, 2017 Exam 2 Solutions
1. (6 + 6 pints) Tw quick questins: (a) The Handbk f Chemistry and Physics tells us, crrectly, that CCl 4 bils nrmally at 76.7 C, but its mlar enthalpy f vaprizatin is listed in ne place as 34.6 kj ml
More informationFinding the Earth s magnetic field
Labratry #6 Name: Phys 1402  Dr. Cristian Bahrim Finding the Earth s magnetic field The thery accepted tday fr the rigin f the Earth s magnetic field is based n the mtin f the plasma (a miture f electrns
More informationProjectile Motion. Conceptual Physics 11 th Edition. Projectile Motion. Projectile Motion. Projectile Motion. This lecture will help you understand:
Conceptual Physics 11 th Edition Projectile motion is a combination of a horizontal component, and Chapter 10: PROJECTILE AND SATELLITE MOTION a vertical component. This lecture will help you understand:
More informationConceptual Physics 11 th Edition
Conceptual Physics 11 th Edition Chapter 10: PROJECTILE AND SATELLITE MOTION This lecture will help you understand: Projectile Motion FastMoving Projectiles Satellites Circular Satellite Orbits Elliptical
More informationChapter 5 Part 2. Newton s Law of Universal Gravitation, Satellites, and Weightlessness
Chapter 5 Part 2 Newton s Law of Universal Gravitation, Satellites, and Weightlessness Newton s ideas about gravity Newton knew that a force exerted on an object causes an acceleration. Most forces occurred
More informationRadial Acceleration. recall, the direction of the instantaneous velocity vector is tangential to the trajectory
Radial Acceleration recall, the direction of the instantaneous velocity vector is tangential to the trajectory 1 Radial Acceleration recall, the direction of the instantaneous velocity vector is tangential
More informationC Nitrogen and others. D Oxygen and carbon
6.5A Knw that an element is a pure substance represented by chemical symbls. Knw AN ELEMENT IS A PURE SUBSTANCE REPRESENTED BY CHEMICAL SYMBOLS Element a pure substance that cannt be brken dwn chemically
More informationTrigonometry, 8th ed; Lial, Hornsby, Schneider
Trignmetry, 8th ed; Lial, Hrnsby, Schneider Trignmetry Final Exam Review: Chapters 7, 8, 9 Nte: A prtin f Exam will cver Chapters 1 6, s be sure yu rewrk prblems frm the first and secnd exams and frm the
More informationEclipses and Forces. Jan 21, ) Review 2) Eclipses 3) Kepler s Laws 4) Newton s Laws
Eclipses and Forces Jan 21, 2004 1) Review 2) Eclipses 3) Kepler s Laws 4) Newton s Laws Review Lots of motion The Moon revolves around the Earth Eclipses Solar Lunar the Sun, Earth and Moon must all be
More informationCopyright 2008 Pearson Education, Inc., publishing as Pearson AddisonWesley.
Chapter 13. Newton s Theory of Gravity The beautiful rings of Saturn consist of countless centimetersized ice crystals, all orbiting the planet under the influence of gravity. Chapter Goal: To use Newton
More informationthe icon, and pull down the menu to select Mars.
GEOLOGICAL SCIENCES 0050 EXERCISE 4 (12 POINTS): VIEWING MARS FROM ORBIT (AND THE GROUND): BACKGROUND HANDOUT The Exercise is Due Mnday, Octber 28th, 2013 Yu nly need t turn in the exercise prtin. This
More informationiclicker Question How many beans are in the 900 ml beaker? A. Fewer than 1000 B C D E.
iclicker Questin Hw many beans are in the 900 ml beaker? A. Fewer than 1000 B. 10001500 C. 1500000 D. 000500 E. Mre than 500 Reiew: Physics 13 Lecture 1 Dimensinal Mtin Displacement: Dx = x  x 1 (If
More informationChapter 11: Atmosphere
Chapter 11: Atmsphere Sectin 1: Atmspheric Basics Objectives 1. Describe the cmpsitin f the atmsphere. 2. Cmpare and cntrast the varius layers f the atmsphere. 3. Identify three methds f transferring energy
More informationREADING STATECHART DIAGRAMS
READING STATECHART DIAGRAMS Figure 4.48 A Statechart diagram with events The diagram in Figure 4.48 shws all states that the bject plane can be in during the curse f its life. Furthermre, it shws the pssible
More informationChapter 8 Predicting Molecular Geometries
Chapter 8 Predicting Mlecular Gemetries 81 Mlecular shape The Lewis diagram we learned t make in the last chapter are a way t find bnds between atms and lne pais f electrns n atms, but are nt intended
More informationNUMBERS, MATHEMATICS AND EQUATIONS
AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t
More information/ / Chemistry. Chapter 1 Chemical Foundations
Name Chapter 1 Chemical Fundatins Advanced Chemistry / / Metric Cnversins All measurements in chemistry are made using the metric system. In using the metric system yu must be able t cnvert between ne
More informationThe Legacy of Ancient Greece
The Legacy f Ancient Greece 31.1 Intrductin (p.297) Stry f Archimedes ( Eureka! ) Curisity and careful bservatin are imprtant parts f science This way f thinking is just ne f the gifts we have received
More informationStudy Group Report: Platefin Heat Exchangers: AEA Technology
Study Grup Reprt: Platefin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery
More informationBeing able to connect displacement, speed, and acceleration is fundamental to working
Chapter The Big Three: Acceleratin, Distance, and Time In This Chapter Thinking abut displacement Checking ut speed Remembering acceleratin Being able t cnnect displacement, speed, and acceleratin is undamental
More informationEight Minutes and a Half
Eight Minutes and a Half Gabriele U. Varieschi, Lyla Marymunt University, Ls Angeles, CA It takes abut eight minutes and a half fr the light frm the Sun t reach us, therefre when we lk at a beautiful sunset
More informationPutting Scientific Notation to Work
10 Putting Scientific Ntatin t Wrk Physics deals with sme very large and very small numbers. T wrk with such numbers, yu use scientific ntatin. Scientific ntatin is expressed as a number multiplied by
More informationA B C. 2. Some genes are not regulated by gene switches. These genes are expressed constantly. What kinds of genes would be expressed constantly?
STO143 Gene Switches Intrductin Bacteria need t be very efficient and nly prduce specific prteins when they are needed. Making prteins that are nt needed fr everyday cell metablism wastes energy and raw
More informationKepler's Laws and Newton's Laws
Kepler's Laws and Newton's Laws Kepler's Laws Johannes Kepler (15711630) developed a quantitative description of the motions of the planets in the solar system. The description that he produced is expressed
More informationMeridian Circle through Zenith, North Celestial Pole, Zenith Direction Straight Up from Observer. South Celestial Pole
Chapter 3 How Earth and Sky Work Effects of Latitude In chapters 3 and 4we will learn why our view of the heavens depends on our position on the Earth, the time of day, and the day of the year. We will
More informationPhysics 1200 Mechanics, Kinematics, Fluids, Waves
Physics 100 Mechanics, Kinematics, Fluids, Waes Lecturer: Tm Humanic Cntact inf: Office: Physics Research Building, Rm. 144 Email: humanic@mps.histate.edu Phne: 614 47 8950 Office hurs: Tuesday 3:00 pm,
More informationI. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is
Length L>>a,b,c Phys 232 Lab 4 Ch 17 Electric Ptential Difference Materials: whitebards & pens, cmputers with VPythn, pwer supply & cables, multimeter, crkbard, thumbtacks, individual prbes and jined prbes,
More informationRelationships Between Frequency, Capacitance, Inductance and Reactance.
P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead
More informationEarth Science Unit 6: Astronomy Period: Date: Elliptical Orbits
Earth Science Name: Unit 6: Astronomy Period: Date: Lab # 5 Elliptical Orbits Objective: To compare the shape of the earth s orbit (eccentricity) with the orbits of and with a circle. other planets Focus
More informationPhysics Lecture 03: FRI 29 AUG
Physics 23 Jonathan Dowling Isaac Newton (642 727) Physics 23 Lecture 03: FRI 29 AUG CH3: Gravitation III Version: 8/28/4 Michael Faraday (79 867) 3.7: Planets and Satellites: Kepler s st Law. THE LAW
More informationObservational Astronomy  Lecture 4 Orbits, Motions, Kepler s and Newton s Laws
Observational Astronomy  Lecture 4 Orbits, Motions, Kepler s and Newton s Laws Craig Lage New York University  Department of Physics craig.lage@nyu.edu February 24, 2014 1 / 21 Tycho Brahe s Equatorial
More information1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.
PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a highperfrmance vltage surce
More informationUnit 14 Thermochemistry Notes
Name KEY Perid CRHS Academic Chemistry Unit 14 Thermchemistry Ntes Quiz Date Exam Date Lab Dates Ntes, Hmewrk, Exam Reviews and Their KEYS lcated n CRHS Academic Chemistry Website: https://cincchem.pbwrks.cm
More information