LectureOneVectorandScalar一、TranslatethefollowingacademicwordsintoChinese。mechanicsandmotionvectorvectorquantityscalardefinitionexamplesmagnitudedirectionpositivedirectionnegativedirectionbrickblockmeasurementpositiondescribedisplacementdividebysizecalculationconvertnominatordenominatorkilometermultiplyequaldimensionalanalysisFliptriangleratecanceloutmanipulatingformulaonedimensionmphsquarespeedometerNewton’sfirstlawunbalancedforcerestnetforcelawofinertiaGalileomovinguniformlyStraightforwardconstantvelocityfrictionwatermoleculeselasticstructurebumpandgrindsmoothgravitymasskilogramdirectlyproportional二、Writethefollowingquantitiesofmeaninginchineseandtorepresentthephysicalsymbol,formula.displacementspeedvelocitydistancepersecondaccelerationforce三、TranslatethefollowingsentencesintoChinese。1、Ifwanglinisabletotravel5kmnorthinonehourinhercar,whatisheraveragevelocity?2、IfWanglinrunsataconstantvelocityof3m/stotheeast,howlongwillittakehertotravelfor720meters?3、Ifwanglintravelsfor1minuteat5m/stothesouthhowmuchwillshebedisplaced?4、EverybodypersistsinitsstateofbeingatrestormovinguniformstraightforwardexceptinsofarAsitiscompelledtochangeitsstatebyforceimpressed5、Achangeinmotionisproportionaltothemotiveforceimpressedandtakesplacealongthesraightlineinwhichthatforceisimpressed.6、ToeveryactionthereisalwaysanequalandoppositereactionortheforcesoftwobodiesOneachotherarealwaysequalandaredirectedinoppositedirections四、Providecompleteandwell-organizedsolutionswithsentence-formclosingstatementsforproblems.1.Atabletennisballstrikesthetablewithaspeedof3.0m/satanangleof25ºtothetable.Itreboundsatanangleof22ºwithaspeedof2.0m/s.Bythemethodofcomponentscalculatetheaverageaccelerationoverthecollisionwhichlasts3.0ms.[1ms=10-3s]2.Inanexperimentthetimetakenforaballtofallthefinal1.00mbeforestrikingtheflooris0.100s.Whatisthevelocityofimpactoftheballonthefloor(atleast6differentwaystosolve).3.AnexperimentalhighvelocityartilleryshellwasfiredfromthesurfaceoftheEarthatanangleof45.0ºtothehorizontalandreturnedtoEarthin200s.Whatwas:a)theinitialvelocityoftheshellinkm/hrb)themaximumheightofthetrajectoryinkm.4.Ansmallplanehastoflyadistance300km[45.0ºSofE]todeliveranemergencypackageinonehour.Thereisawindblowingat50.0km/h[inthedirection30.0ºEofN].Determinetherequiredvelocity(heading)oftheplanewithrespecttotheair.Drawavectordiagramclearlyshowingalltherelevantvectors.5.Aswimmerwhocanswimataspeedof1.0m/sinstillwaterswimspointing(heading)directlyacrossariver100mwide.TheswimmerlandsatapositionBonthefarbank50mdownstreamfromthestartingpoint.Calculatea)Thespeedofthecurrent.b)Thevelocityoftheswimmerrelativetotheriverbank(shore).c)Thedirectiontheswimmerwouldhavetotaketotraveldirectlyacross(AtoA)theriverandlandatapointonthefarbankdirectlyacrossfromthestartingpoint.d)Thetimetakenforc)ACurrentSwimmerABShore(Bank)Shore(Bank)Solutions:1.Acceleration=7.3x102m/s2at67°totable(23°WestofNorth(y-axis))2.10.5m/s3.a)4970km/hrb)49.0km4.317km/hrat53.8°SouthofEast5.a)0.50m/sb)1.1m/sat63°toshore(bank)c)1.2x102s,(115.5s)
