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1、BarCharts,Inc.®WORLD’S#1ACADEMICOUTLINE™EssentialToolforPhysicsLaws,Concepts,Variables&Equations,Including.SampleProblems,!CommonPitfalls&HelpfulHintsBASICSA.UnitsforPhysicalQuantitiesB.FundamentalPhysicalConstantsC.ConversionfactorsandalternativeunitsBaseUnitsSymbolUnitBaseUnitsSymbolUnitUn
2、itDescriptionLengthl,xMeter-mMassofelectronme9.11×10–31kgAngleº(degree)180º=¹radMassofprotonmp1.67×10–27kgMassm,MKilogram-kg23–1CGSunit(gcm2/s2)AvogadroConstantNA6.022×10molEnergyErgTemperatureTKelvin-K1erg=10–7JElementarychargee1.602×10–19CTimetSecond-sElectronFaradayConstantF96,485C/molEne
3、rgy1eV=1.602×10–19JVoltElectricCurrentIAmpere-A(C/s)Speedoflightc3×108ms–12CGSunit(gcm/s=erg/cm)DerivedUnitsSymbolUnitForceDyneMolarGasConstantR8.314Jmol–1K–11dyne=10–5NAccelerationam/s2–23–1BoltzmannConstantk1.38×10JKVolumeLiter1L=1dm3Ang.Accel.αradian/s2GravitationConstantG6.67×10–11m3kg–1
4、s–2PressureBar1Bar=105PaAng.MomentumLkgm2/sPermeabilityofSpaceµ04¹×10–7N/A2Ang.Velocityωradian/secPermittivityofSpaceε08.85×10–12F/mLengthAngstrom1Å=1×10–10mAngleθ,ϕradianCapacitanceCFaradF(C/V)MATHEMATICALCONCEPTSChargeQ,q,eCoulombC(As)A.VectorAlgebrab.CrossorVectorProduct:1.Vector:Denotesd
5、irectionalcharacterusing(x,y,z)C=A×B=
6、A
7、
8、B
9、sinθeDensityρkg/m3componentsfig1θ–AnglebetweenAandB,vectoreisa.Unitvectors:ialongx,jalongy,kalongzperpendiculartoAandBDisplacements,d,hmeter-mb.VectorA=Axi+Ayj+AzkijkElectricFieldΕV/mc.LengthofA=
10、A
11、=Axyz222++AAA×B=AAAxyz2.AdditionofvectorsA&B,addcom
12、ponents:BBBxzyElectricFluxΦeVmA+B=(Ax+Bx)i+(Ay+By)j+(Az+Bz)k.Sample:VectorProduct:Electromotive.SampleAdditionandLengthCalculations:A=2i+jB=i+3jVolt-VForce(EMF)EA=3i+4j–3k
13、A
14、=9++169ijkEnergyE,U,KJouleJ(kgm2–2A×B=210=(6–1)k=5ks)=3458=.3130EntropySJ/KB=–2i+6j+5k
15、B
16、=4++3625•IfAandBareinx-yplane
17、,A×Bisalong==658.06the+zdirectionForceFNewton-N(kgm/s2=J/m)C•θistheangleformedbyAB:sinθ=A+B=i+10j+2k
18、A+B
19、=1++1004ABFrequencyf,νHertz-Hz(cycle/s)Given:
20、A
21、=5
22、B
23、=10
24、C
25、=5=105=10.25HeatQJoule-JNote:
26、A
27、+
28、B
29、≥
30、A+B
31、sinθ=5/(5×10)=5/50=1/23.MultiplyA&B:
