西尔斯大学物理双语版题目

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1、Exercise:1.Aparticlemovingalongxaxisstartsfromx0withinitialvelocityv0.Itsaccelerationcanbeexpressedina=-kv2wherekisaknownconstant.Finditsvelocityfunctionv=v(x)withthecoordinatexasvariable.2.Aparticlemovesinxyplanewiththemotionfunctionas(allinSI).Find(a)itsvelocityand(b)accel

2、erationintheunit-vectornotation.(c)Showthat.3.Abulletofmassmisshotintoasandhillalongahorizontalpath,assumethatthedragofthesandis,findthevelocityfunctionv(t)ifandthegravitationofthebulletcanbeignored.4.whatworkisdonebyaconservativeforcethatmovesaparticleinxyplanefromtheinitia

3、lpositiontothefinalposition.AllquantitiesareinSI.5.Theangularpositionofapointontherimofarotatingwheelisgivenby,whereisinradiansandtisinseconds.Find(a)itsangularvelocitiesatt=0sandt=4.0s?(b)Calculateitsangularaccelerationatt=2.0s.(c)Isitsangularaccelerationconstant?6.Auniform

4、thinrodofmassMandlengthLcanrotatefreelyaboutahorizontalaxispassingthroughitstopendo().7Abulletofmassmpenetratestherodpassingitscenterofmasswhentherodisinverticalstationary.Ifthepathofthebulletishorizontalwithaninitialspeedvobeforepenetrationandafterpenetration.Showthat(a)the

5、angularvelocityoftherodjustafterthepenetrationis.(b)Findthemaximumangulartherodwillswingupwardafterpenetration.AM7.A1.0gbulletisfiredintoablock(M=0.50kg)thatismountedontheendofarod(L=0.60m).TherotationalinertiaoftherodaloneaboutAis.Theblock-rod-bulletsystemthenrotatesaboutaf

6、ixedaxisatpointA.Assumetheblockissmallenoughtotreatasaparticleontheendoftherod.Question:(a)Whatistherotationalinertiaoftheblock-rod-bulletsystemaboutA?(b)IftheangularspeedofthesystemaboutAjustafterthebullet’simpactis4.5rad/s,Whatisthespeedofthebulletjustbeforetheimpact?8.Acl

7、ockmovesalongthexaxisataspeedof0.800candreadszeroasitpassestheorigin.(a)CalculatetheLorentzfactorbetweentherestframeSandtheframeS*inwhich7theclockisrest.(b)whattimedoestheclockreadasitpassesx=180m?9.Whatmustbethemomentumofaparticlewithmassmsothatitstotalenergyis3timesrestene

8、rgy?10.Idealgaswithinaclosedchamberundergoesthecycleshownin4.0P(N/m2)40101.