ap物理c练习题Word格式.docx

ap物理c练习题Word格式.docx

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iscommittedtotheprinciplesofequityand

excellence,andthatcommitmentisembodiedinallofitsprograms,services,activities,andconcerns.

APIELisatrademarkownedbytheCollegeEntranceExaminationBoard.PSAT/NMSQTisaregisteredtrademarkjointlyownedbytheCollegeEntranceExaminationBoardandtheNationalMeritScholarshipCorporation.EducationalTestingServiceandETSareregisteredtrademarksofEducationalTestingService.

1985M1.Aprojectileislaunchedfromthetopofacliffabovelevelground.Atlaunchtheprojectileismetersabovethebaseofthecliffandhasavelocityof0meterspersecondatanangle7?

withthe

horizontal.Airresistanceisnegligible.Considerthefollowingtwocasesanduseg=10m/s2,sin7?

=

0.60,andcos7?

=0.80.

CaseI:

Theprojectilefollowsthepathshownbythecurvedlineinthefollowingdiagram.

a.

b.

c.

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CalculatethetotaltimefromlaunchuntiltheprojectilehitsthegroundatpointC.CalculatethehorizontaldistanceRthattheprojectiletravelsbeforeithitstheground.CalculatethespeedoftheprojectileatpointsA,BandC.

CaseII:

AsmallinternalchargeexplodesatpointBintheabovediagram,causingtheprojectiletoseparateintotwopartsofmasseskilogramsand10kilograms.Theexplosiveforceoneachpartishorizontalandintheplaneofthetrajectory.The-kilogrammassstrikesthegroundatpointD,located0meters

beyondpointC,wheretheprojectilewouldhavelandedhaditnotexplodedThe10-kilogrammassstrikesthegroundatpointE.

d.CalculatethedistancexfromCtoE.

1985M2.Anapparatustodeterminecoefficientsoffrictionisshownabove.Theboxisslowlyrotatedcounterclockwise.Whentheboxmakesanangle?

withthehorizontal,theblockofmassmjuststartstoslide,andatthisinstanttheboxisstoppedfromrotating.Thusatangle?

theblockslidesadistanced,hits

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thespringofforceconstantk,andcompressesthespringadistancexbeforecomingtorest.Intermsofthegivenquantities,deriveanexpressionforeachofthefollowing.

a.?

sthecoefficientofstaticfriction.

b.?

E,thelossintotalmechanicalenergyoftheblock-springsystemfromthestartoftheblockdown

theinclinetothemomentatwhichitcomestorestonthecompressedspring.

c.?

k,thecoefficientofkineticfriction.

1985M3.Apulleyofmassmandradiusrismountedonfrictionlessbearingsandsupportedbyastand

ofmassmatrestonatableasshownabove.Themomentofinertiaofthispulleyaboutitsaxisis

1.5mr2.

Passingoverthepulleyisamasslesscordsupportingablockofmassmontheleftandablockofmassmontheright.Thecorddoesnotsliponthepulley,soaftertheblock-pulleysystemisreleasedfromrest,thepulleybeginstorotate.

Onthediagramsbelow,drawandlabelalltheforces

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actingoneachblock.

b.Usethesymbolsidentifiedinparttowriteeachofthefollowing.

i.Theequationsoftranslationalmotionforeachofthetwoblocksii.Theanalogousequationfortherotationalmotionofthepulley

c.Solvetheequationsinpartfortheaccelerationofthetwoblocks.

d.Determinethetensioninthesegmentofthecordattachedtotheblockofmassm.

e.Determinethenormalforceexertedontheapparatusbythetablewhiletheblocksareinmotion.

1985E1.Acapacitorconsistingofconductingcoaxialcylindersofradiiaandb,respectively,andlengthL

isconnectedtoasourceofemf,asshownabove.Whenthecapacitorischarged,theinnercylinderhasacharge+Qonit.Neglectendeffectsandassumethattheregionbetweenthecylindersisfilledwithair.Expressyouranswersintermsofthegivenquantities.

a.UseGauss'

slawtodetermineanexpressionfor

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theelectricfieldatadistancerfromtheaxisofthe

cylinderwhereab.Determinethepotentialdifferencebetweenthecylinders.

c.DeterminethecapacitanceCoofthecapacitor.

Onethirdofthelengthofthecapacitoristhenfilledwithadielectricofdielectricconstantk=,asshown

inthefollowingdiagram.

d.DeterminethenewcapacitanceCintermsofCo.

AP?

PhysicsC

197FreeResponseQuestions

TheCollegeBoardisanationalnonprofitmembershipassociationdedicatedtopreparing,inspiring,andconnectingstudentstocollegeandopportunity.Foundedin1900,theassociationis

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composedofmorethan,200schools,colleges,universities,andothereducationalorganizations.Eachyear,theCollegeBoardservesoverthreemillionstudentsandtheirparents,2,000highschools,and,500colleges,throughmajorprogramsandservicesincollegeadmission,guidance,assessment,financialaid,eollment,andteachingandlearning.Amongitsbest-knownprogramsaretheSAT?

.TheCollegeBoardiscommittedtotheprinciplesofequityand

1979M1.Aballofmassmisreleasedfromrestatadistancehaboveafrictionlessplaneinclinedatanangleof5?

tothehorizontalasshownabove.TheballbounceselasticallyofftheplaneatpointP1and

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strikestheplaneagainatpointP2.Intermsofgandhdetermineeachofthefollowingquantities:

a.ThevelocityoftheballjustafteritfirstbouncesofftheplaneatP1.

b.ThetimetheballisinflightbetweenpointsP1andP2.

c.ThedistanceLalongtheplanefromP1toP2.

d.ThespeedoftheballjustbeforeitstrikestheplaneatP2.

1979M2.AferryboatofmassM1=.0x10kilogramsmovestowardadockingbumperofmassMthatcutsoffitsenginestothetimeitfirstcomestorestaftercollidingwiththebumper.Attheinstantithitsthebumper,

t=0andv=meterspersecond.

a.Aftercollidinginelasticallywiththebumper,theferryboatandbumpermovetogetherwithaninitial

speedofmeterspersecond.CalculatethemassofthebumperM2.

b.Aftercolliding,theferryboatandbumpermovewithaspeedgivenbytheexpressionv=e-4t.Althoughtheboatnevercomespreciselytorest,ittravelsonly

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afinitedistance.Calculatethatdistance.

c.Whiletheferryboatwasbeingslowedbywaterresistancebeforehittingthebumper,itsspeedwasgivenby1/v=1/+?

t,where?

isaconstant.Findanexpressionfortheretardingforceofthewaterontheboatasafunctionofspeed.

1979M3.Amassmconstrainedtomoveonafrictionlesshorizontalsurfaceisattachedtoafrictionlesspegbyamasslessspringhavingforceconstantk.Theunstretchedlengthofthespringisl1,asshowninFigure1.

Whenthemassmovesinacircleaboutthepegwithconstantangularvelocity?

o.

thelengthofthespringislasshowninFigure.Expressyouranswerstopartsa,b,andcintermsofm,k,?

oandl1.a.Determinethelengthl2

b.AssumethetotalenergyofthesysteminFigure1iszero.DeterminethetotalenergyoftherotatingsysteminFigure.

c.Determinethemagnitudeoftheangularmomentumofthesystem.

d.Whilethemassisrotatingaboutthepegwith

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angularvelocity?

o,itisstruckbyahammerthatprovidesasmallimpulsedirectedinward.Ontheaxesbelow,sketchgraphstoindicatequalitativelythemannerinwhichthelengthofthespringlandtheangularvelocity?

willvarywithtimeinthe

subsequentmotion.

1979E1.Asolidconductingsphereofradiusaissurroundedbyahollowconductingshellofinnerradiusbandouterradiuscasshownabove.Thesphereandtheshelleachhaveacharge+Q.Expressyouranswerstoparts,andintermsofQ,a,b,c,andtheCoulomb'

slawconstant.

a.UsingGauss'

slaw,deriveanexpressionfortheelectricfieldmagnitudeatadistancefromthecenterofthesolidsphere.

b.Writeexpressionsfortheelectricfieldmagnitudeatr>

c,bgivenforstatementsofthecorrectexpressions.Itisnotnecessarytoshowyourworkonthispart.c.thesolidsphere