Knight Pse3k CRC

Test Bank to Accompany

Physics for Scientists and Engineers Third Edition

by

Knight

Pearson Education, Inc.

c.2013

1/9/2012

Contents

Chapter1 ConceptsofMotion.................................................................................................................1Chapter2 KinematicsinOneDimension.............................................................................................11Chapter3 VectorsandCoordinateSystems........................................................................................34Chapter4 KinematicsinTwoDimensions..........................................................................................44Chapter5 ForceandMotion..................................................................................................................58Chapter6 DynamicsI:MotionAlongaLine.......................................................................................70Chapter7 NewtonsThirdLaw.............................................................................................................84Chapter8 DynamicsII:MotioninaPlane.........................................................................................109Chapter9 ImpulseandMomentum...................................................................................................116Chapter10Energy...................................................................................................................................121Chapter11Work.....................................................................................................................................137Chapter12RotationofaRigidBody....................................................................................................171Chapter13NewtonsTheoryofGravity..............................................................................................209Chapter14 Oscillations...........................................................................................................................222Chapter15FluidsandElasticity............................................................................................................235Chapter16AMacroscopicDescriptionofMatter..............................................................................256Chapter17Work,Heat,andtheFirstLawofThermodynamics......................................................266Chapter18TheMicro/MacroConnection............................................................................................294Chapter19HeatEnginesandRefrigerators........................................................................................304Chapter20TravelingWaves..................................................................................................................317Chapter21Superpositions.....................................................................................................................332Chapter22WaveOptics.........................................................................................................................347Chapter23RayOptics............................................................................................................................360Chapter24OpticalInstruments............................................................................................................378Chapter25ElectricChargesandForces...............................................................................................390Chapter26TheElectricField.................................................................................................................400Chapter27GausssLaw.........................................................................................................................413Chapter28TheElectricPotential..........................................................................................................429Chapter29PotentialandField..............................................................................................................443Chapter30CurrentandResistance.......................................................................................................465

Chapter31FundamentalsofCircuits...................................................................................................475Chapter32 TheMagneticField..............................................................................................................504Chapter33ElectromagneticInduction.................................................................................................543Chapter34ElectromagneticFieldsandWaves...................................................................................566Chapter35ACCircuits...........................................................................................................................581Chapter36Relativity..............................................................................................................................593Chapter37TheFoundationsofModernPhysics................................................................................605Chapter38Quantization........................................................................................................................607Chapter39WaveFunctionsandUncertainty.....................................................................................620Chapter40OneDimensionalQuantumMechanics...........................................................................625Chapter41AtomicPhysics....................................................................................................................633Chapter42NuclearPhysics...................................................................................................................643

Chapter1 ConceptsofMotion

1.1 ConceptualQuestions1) Thecurrentdefinitionofthestandardmeteroflengthisbasedon

A) thedistancebetweentheearthsequatorandnorthpole.B) thedistancebetweentheearthandthesun.C) thedistancetraveledbylightinavacuum.D) thelengthofaparticularobjectkeptinFrance.

Answer: CVar:1

2) ThecurrentdefinitionofthestandardsecondoftimeisbasedonA) thefrequencyofradiationemittedbycesiumatoms.B) theearthsrotationrate.C) thedurationofoneyear.D) theoscillationofaparticularpendulumkeptinFrance.

Answer: AVar:1

3) ThecurrentdefinitionofthestandardkilogramofmassisbasedonA) themassoftheearth.B) themassofthesun.C) themassaparticularobjectkeptinFrance.D) themassofacesium133atom.

Answer: CVar:1

4) Ifawomanweighs125lb,hermassexpressedinkilogramsisxkg,wherexisA) lessthan125.B) greaterthan125.

Answer: AVar:1

5) Ifatreeis15mtall,itsheightexpressedinfeetisxft,wherex isA) lessthan15.B) greaterthan15.

Answer: BVar:1

6) Ifafloweris6.5cmwide,itswidthexpressedinmillimetersisx mm,wherexisA) lessthan6.5.B) greaterthan6.5.

Answer: BVar:1

Copyright2013PearsonEducation,Inc 1

PhysicsforScientistsandEngineers,AStrategicApproach,3e

7) Ifanoperaticarialastsfor5.75min,itslengthexpressedinsecondsisx s,wherexisA) lessthan5.75.B) greaterthan5.75.

Answer: BVar:1

8) ScientistsusethemetricsystemchieflybecauseitismoreaccuratethantheEnglishsystem.A) TrueB) False

Answer: BVar:1

9) Whenaddingtwonumbers,thenumberofsignificantfiguresinthesumisequaltothenumberofsignificantfiguresintheleastaccurateofthenumbersbeingadded.

A) TrueB) False

Answer: BVar:1

10) Whendeterminingthenumberofsignificantfiguresinanumber,zeroestotheleftofthedecimalpointarenevercounted.

A) TrueB) False

Answer: BVar:1

1.2 Problems

1) Convert1.210-3todecimalnotation.A) 1.200B) 0.1200C) 0.0120D) 0.0012E) 0.00012

Answer: DVar:5

2) Writeoutthenumber7.3510-5infullwithadecimalpointandcorrectnumberofzeros.A) 0.00000735B) 0.0000735C) 0.000735D) 0.00735E) 0.0735

Answer: BVar:5

2 Copyright2013PearsonEducation,Inc.

Chapter1:ConceptsofMotion

3) 0.0001776canalsobeexpressedasA) 1.77610-3.B) 1.77610-4.C) 17.72104.D) 1772105.E) 177.2107.

Answer: BVar:5

4) 0.0032510-8cmcanalsobeexpressedinmmasA) 3.2510-12mm.B) 3.2510-11mm.C) 3.2510-10mm.D) 3.2510-9mm.E) 3.2510-8mm.

Answer: CVar:1

5) If,inaparalleluniverse,hasthevalue3.14149,expressinthatuniversetofoursignificantfigures.

A) 3.141B) 3.142C) 3.1415D) 3.1414

Answer: AVar:1

6) Thenumber0.003010hasA) 7significantfigures.B) 6significantfigures.C) 4significantfigures.D) 2significantfigures.

Answer: CVar:1

7) Whatis0.6740.74

tothepropernumberofsignificantfigures?A) 0.91B) 0.911C) 0.9108D) 0.9

Answer: AVar:50+



8) Whatisthevalueof(8.104)2,writtenwiththecorrectnumberofsignificantfigures?A) 206.324B) 206.323C) 206.3D) 206E) 200

Answer: CVar:1

9) Whatisthesumof1123and10.3writtenwiththecorrectnumberofsignificantfigures?A) 1.13103B) 1133.3000C) 1.1103D) 1133.3E) 1133

Answer: EVar:1

10) Whatisthesumof1.53+2.786+ 3.3 writtenwiththecorrectnumberofsignificantfigures?A) 8B) 7.6C) 7.62D) 7.616E) 7.6160

Answer: BVar:3

11) Whatisthedifferencebetween103.5and102.24 writtenwiththecorrectnumberofsignificantfigures?

A) 1B) 1.3C) 1.26D) 1.260E) 1.2600

Answer: BVar:3

12) Whatistheproductof11.24and1.95 writtenwiththecorrectnumberofsignificantfigures?A) 22B) 21.9C) 21.92D) 21.918E) 21.9180

Answer: BVar:3



13) Whatistheresultof1.583.793 writtenwiththecorrectnumberofsignificantfigures?A) 4.165610-1B) 4.16610-1C) 4.1710-1D) 4.210-1E) 410-1

Answer: CVar:3

14) Whatis34+(3)(1.2465)writtenwiththecorrectnumberofsignificantfigures?A) 37.7B) 37.74C) 4101D) 38E) 37.7395

Answer: DVar:5

15) Whatis56+(32.00)/(1.2465+3.45)writtenwiththecorrectnumberofsignificantfigures?A) 62.8B) 62.812C) 62.81D) 63E) 62.8123846

Answer: DVar:1

16) Add3685gand66.8kgandexpressyouranswerinmilligrams(mg).A) 7.05107mgB) 7.05104mgC) 7.05105mgD) 7.05106mg

Answer: AVar:50+

17) Express(4.3106)-1/2inscientificnotation.A) 4.810-4B) 2.1103C) 2.110-5D) 2.1104

Answer: AVar:40



18) Whatis0.2052/3,expressedtothepropernumberofsignificantfigures?A) 0.348B) 0.35C) 0.3D) 0.3477

Answer: AVar:50+

19) Thelengthandwidthofarectangleare1.125mand0.606m,respectively.Multiplying,yourcalculatorgivestheproductas0.68175.Roundingproperlytothecorrectnumberofsignificantfigures,theareashouldbewrittenas

A) 0.7m2.B) 0.68m2.C) 0.682m2.D) 0.6818m2.E) 0.68175m2.

Answer: CVar:1

20) Thefollowingexactconversionequivalentsaregiven:1m= 100cm,1in=2.54cm,and1ft=12in.Ifacomputerscreenhasanareaof1.27ft2,thisareaisclosestto

A) 0.00284m2.B) 0.0465m2.C) 0.118m2.D) 0.284m2.E) 4.65m2.

Answer: CVar:1

21) Inadditionto1m=39.37in.,thefollowingexactconversionequivalentsaregiven:1mile=5280ft,1ft=12in,1hour=60min,and1min=60s.Ifaparticlehasavelocityof8.4milesperhour,itsvelocity,inm/s,isclosestto

A) 3.8m/s.B) 3.0m/s.C) 3.4m/s.D) 4.1m/s.E) 4.5m/s.

Answer: AVar:50+

22) Aweightliftercanbenchpress171 kg. Howmanymilligrams(mg)isthis?A) 1.71108mgB) 1.71109mgC) 1.71107mgD) 1.71106mg

Answer: AVar:50+



23) Howmanynanosecondsdoesittakeforacomputertoperformonecalculationifitperforms6.7107calculationspersecond?

A) 15nsB) 67nsC) 11nsD) 65ns

Answer: AVar:50+

24) Theshortestwavelengthofvisiblelightisapproximately400nm.Expressthiswavelengthincentimeters.

A) 410-5cmB) 410-7cmC) 410-9cmD) 410-11cmE) 40010-11cm

Answer: AVar:1

25) Thewavelengthofacertainlaseris0.35micrometers,where1micrometer=110-6m.Expressthiswavelengthinnanometers.

A) 3.5102nmB) 3.5103nmC) 3.5101nmD) 3.5104nm

Answer: AVar:50+

26) AcertainCD-ROMdiskcanstoreapproximately6.0102megabytesofinformation,where106bytes=1megabyte.Ifanaveragewordrequires9.0bytesofstorage,howmanywordscanbestoredononedisk?

A) 6.7107wordsB) 5.4109wordsC) 2.1107wordsD) 2.0109words

Answer: AVar:9

27) Aplotoflandcontains5.8acres.Howmanysquaremetersdoesitcontain?[1acre=43,560ft2]A) 2.3104m2B) 7.1103m2C) 7.0104m2D) 5.0104m2

Answer: AVar:50+



28) Apersononadietloses1.6kg inaweek.Howmanymicrograms/second(g/s)arelost?A) 2.6103g/sB) 1.6105g/sC) 44g/sD) 6.4104g/s

Answer: AVar:11

29) Albertusesashisunitoflength(forwalkingtovisithisneighborsorplowinghisfields)thealbert(A),thedistanceAlbertcanthrowasmallrock.Onealbertis92meters.Howmanysquarealbertsisequaltooneacre?(1acre=43,560ft2=4050m2)Answer: 1.29A2Var:50+

30) Convertaspeedof4.50km/htounitsofft/min.(1.00m= 3.28ft)A) 0.246ft/minB) 82.3ft/minC) 165ft/minD) 246ft/minE) 886ft/min

Answer: DVar:1

31) Theexhaustfanonatypicalkitchenstovepulls600CFM(cubicfeetperminute)throughthefilter.Giventhat1.00in.=2.54cm,howmanycubicmetersperseconddoesthisfanpull?

A) 0.283m3/secB) 0.328m3/secC) 3.05m3/secD) 32.8m3/sec

Answer: AVar:1

32) ThemassofatypicaladultwomanisclosesttoA) 20kg.B) 35kg.C) 75kg.D) 150kg.

Answer: CVar:1

33) Theheightoftheceilinginatypicalhome,apartment,ordormroomisclosesttoA) 100cm.B) 200cm.C) 400cm.D) 500cm.

Answer: BVar:1



34) Approximatelyhowmanytimesdoesanaveragehumanheartbeatinayear?A) 4105B) 4106C) 4107D) 4108E) 4109

Answer: CVar:1

35) Approximatelyhowmanytimesdoesanaveragehumanheartbeatinalifetime?A) 31011B) 31010C) 3109D) 3108E) 3107

Answer: CVar:1

36) Approximatelyhowmanypennieswouldyouhavetostacktoreachanaverage8-footceiling?

A) 2102B) 2103C) 2104D) 2105E) 2x106

Answer: BVar:1

37) Estimatethenumberoftimestheearthwillrotateonitsaxisduringahumanslifetime.A) 3104B) 3105C) 3106D) 3107E) 3x108

Answer: AVar:1

38) Estimatethenumberofpenniesthatwouldfitinaboxonefootlongbyonefootwidebyonefoottall.

A) 5102B) 5103C) 5104D) 5105E) 5x106

Answer: CVar:1



39) Amarathonis26miand385yd long.Estimatehowmanystrideswouldberequiredtorunamarathon.Assumeareasonablevaluefortheaveragenumberoffeet/stride.

A) 4.5104stridesB) 4.5103stridesC) 4.5105stridesD) 4.5106strides

Answer: AVar:1

40) Theperiodofapendulumisthetimeittakesthependulumtoswingbackandforthonce.Iftheonlydimensionalquantitiesthattheperioddependsonaretheaccelerationofgravity, g,andthelengthofthependulum,,whatcombinationofgandmusttheperiodbeproportionalto?(AccelerationhasSIunitsofms-2.).

A) g/B) g2C) gD) gE) /g

Answer: EVar:1

41) Thespeedofawavepulseonastringdependsonthetension,F,inthestringandthemassperunitlength,,ofthestring.TensionhasSIunitsofkgms-2andthemassperunitlengthhasSIunitsofkgm-1.WhatcombinationofFandmustthespeedofthewavebeproportionalto?

A) F/B) /FC) /FD) FE) F/

Answer: AVar:1

42) Thepositionx,inmeters,ofanobjectisgivenbytheequationx=A+Bt+Ct2,wheretrepresentstimeinseconds.WhataretheSIunitsofA,B,andC?

A) m,m,mB) m,s,sC) m,s,s2D) m,m/s,m/s2E) m/s,m/s2,m/s3

Answer: AVar:1


Chapter2 KinematicsinOneDimension

2.1 ConceptualQuestions1) Iftheaccelerationofanobjectisnegative,theobjectmustbeslowingdown.

A) TrueB) False

Answer: BVar:1

2) Ifthegraphofthepositionasafunctionoftimeforanobjectisahorizontalline,thatobjectcannotbeaccelerating.

A) TrueB) False

Answer: AVar:1

3) Ifanobjectisacceleratingtowardapoint,thenitmustbegettingcloserandclosertothatpoint.

A) TrueB) False

Answer: BVar:1

4) Whencanwebecertainthattheaveragevelocityofanobjectisalwaysequaltoitsinstantaneousvelocity?

A) alwaysB) neverC) onlywhenthevelocityisconstantD) onlywhentheaccelerationisconstantE) onlywhentheaccelerationischangingataconstantrate

Answer: CVar:1

5) Supposethatanobjectismovingwithconstantnonzeroacceleration.Whichofthefollowingisanaccuratestatementconcerningitsmotion?

A) Inequaltimesitsspeedchangesbyequalamounts.B) Inequaltimesitsvelocitychangesbyequalamounts.C) Inequaltimesitmovesequaldistances.D) Agraphofitspositionasafunctionoftimehasaconstantslope.E) Agraphofitsvelocityasafunctionoftimeisahorizontalline.

Answer: BVar:1



6) Supposethatacartravelingtothewest(the-x direction)beginstoslowdownasitapproachesatrafficlight.Whichstatementconcerningitsaccelerationinthexdirectioniscorrect?

A) Bothitsaccelerationanditsvelocityarepositive.B) Bothitsaccelerationanditsvelocityarenegative.C) Itsaccelerationispositivebutitsvelocityisnegative.D) Itsaccelerationisnegativebutitsvelocityispositive.

Answer: CVar:1

7) Themotionofaparticleisdescribedinthevelocityversustimegraphshowninthefigure.Wecansaythatitsspeed

A) increases.B) decreases.C) increasesandthendecreases.D) decreasesandthenincreases.

Answer: DVar:1

8) Themotionsofacarandatruckalongastraightroadarerepresentedbythevelocitytimegraphsinthefigure.Thetwovehiclesareinitiallyalongsideeachotherattime t=0.AttimeT,whatistrueaboutthesetwovehiclessincetimet=0?

A) Thetruckwillhavetraveledfurtherthanthecar.B) Thecarwillhavetraveledfurtherthanthetruck.C) Thetruckandthecarwillhavetraveledthesamedistance.D) Thecarwillbetravelingfasterthanthetruck.

Answer: AVar:1


Chapter2:KinematicsinOneDimension

9) Thegraphinthefigureshowsthepositionofanobjectasafunctionoftime.ThelettersHLrepresentparticularmomentsoftime.Atwhichmomentsshown(H,I,etc.)isthespeedoftheobject(a)thegreatest?(b)thesmallest?

Answer: (a)J(b)IVar:1

10) Thefigureshowsthepositionofanobject(movingalongastraightline)asafunctionoftime.Assumetwosignificantfiguresineachnumber.Whichofthefollowingstatementsaboutthisobjectistrueovertheintervalshown?

A) Theobjectisacceleratingtotheleft.B) Theobjectisacceleratingtotheright.C) Theaccelerationoftheobjectisinthesamedirectionasitsvelocity.D) Theaveragespeedoftheobjectis1.0m/s.

Answer: AVar:1



11) Thefigureshowsthegraphofthepositionx asafunctionoftimeforanobjectmovinginthestraightline(thex-axis).Whichofthefollowinggraphsbestdescribesthevelocityalongthex-axisasafunctionoftimeforthisobject?

A)

B)

C)

D)

E)

Answer: DVar:1



12) Anobjectismovingwithconstantnonzeroaccelerationalongthe+xaxis.Agraphofthevelocityinthexdirectionasafunctionoftimeforthisobjectis

A) ahorizontalstraightline.B) averticalstraightline.C) astraightlinemakingananglewiththetimeaxis.D) aparaboliccurve.

Answer: DVar:1



13) Anobjectismovinginastraightlinealongthex-axis.Aplotofitsvelocityinthexdirectionasafunctionoftimeisshowninthefigure.Whichgraphrepresentsitsaccelerationinthexdirectionasafunctionoftime?

A)

B)



C)

D)

E)

Answer: CVar:1



14) Anobjectstartsitsmotionwithaconstantvelocityof2.0m/stowardtheeast.After3.0s,theobjectstopsfor1.0s.Theobjectthenmovestowardthewestadistanceof2.0min3.0s.Theobjectcontinuestravelinginthesamedirection,butincreasesitsspeedby1.0m/sforthenext2.0s.Whichgraphbelowcouldrepresentthemotionofthisobject?

A)

B)

C)



D)

Answer: DVar:1

15) Thefigureshowsthevelocityofaparticleasittravelsalongthexaxis.Whatisthedirectionoftheaccelerationatt=0.5s?

A) inthe+xdirectionB) inthe-xdirectionC) Theaccelerationiszero.

Answer: BVar:1



16) Thefigurerepresentsthevelocityofaparticleasittravelsalongthexaxis.Atwhatvalue(orvalues)oftistheinstantaneousaccelerationequaltozero?

A) t=0B) t=0.5sandt=2sC) t=1s

Answer: CVar:1

17) Aballisthrowndirectlyupwardandexperiencesnoairresistance.Whichoneofthefollowingstatementsaboutitsmotioniscorrect?

A) Theaccelerationoftheballisupwardwhileitistravelingupanddownwardwhileitistravelingdown.

B) Theaccelerationoftheballisdownwardwhileitistravelingupandupwardwhileitistravelingdown.

C) Theaccelerationisdownwardduringtheentiretimetheballisintheair.D) Theaccelerationoftheballisdownwardwhileitistravelingupanddownwardwhileit

istravelingdownbutiszeroatthehighestpointwhentheballstops.Answer: CVar:1

18) Twoobjectsarethrownfromthetopofatallbuildingandexperiencenoappreciableairresistance.Oneisthrownup,andtheotheristhrowndown,bothwiththesameinitialspeed.Whataretheirspeedswhentheyhitthestreet?

A) Theonethrownupistravelingfaster.B) Theonethrowndownistravelingfaster.C) Theyaretravelingatthesamespeed.

Answer: CVar:1

19) Twoobjectsaredroppedfromabridge,anintervalof1.0sapart,andexperiencenoappreciableairresistance.Astimeprogresses,theDIFFERENCEintheirspeeds

A) increases.B) remainsconstant.C) decreases.D) increasesatfirst,butthenstaysconstant.E) decreasesatfirst,butthenstaysconstant.

Answer: BVar:1



20) Whichoneofthefollowinggraphscouldpossiblyrepresenttheverticalpositionasafunctionoftimeforanobjectinfreefall?

A)

B)

C)



D)

E)

Answer: DVar:1

2.2 Problems

1) Acatrunsalongastraightline(thex-axis)frompointAtopointB topointC,asshowninthefigure.ThedistancebetweenpointsAandCis5.00m,thedistancebetweenpointsBandCis10.0m,andthepositivedirectionofthex-axispointstotheright.ThetimetorunfromAtoBis20.0s,andthetimefromBtoCis8.00s.Asthecatrunsalongthex-axisbetweenpointsAandC(a)whatisthemagnitudeofitsaveragevelocity?(b)whatisitsaveragespeed?

Answer: (a)0.179m/s(b)0.893m/sVar:1



2) Thefigureshowsthepositionofanobjectasafunctionoftime.Duringthetimeintervalfromtimet=0.0sandtimet=9.0s(a)whatisthelengthofthepaththeobjectfollowed?(b)whatisthedisplacementoftheobject?

Answer: (a)5.0m(b)1.0mVar:1

3) Aspartofanexerciseprogram,awomanwalkssouthataspeedof2.00m/sfor60.0minutes.Shethenturnsaroundandwalksnorthadistance3000min25.0minutes(a)Whatisthewomansaveragevelocityduringherentiremotion?

A)0.824m/ssouthB)1.93m/ssouthC)2.00m/ssouthD)1.79m/ssouthE)800m/ssouth

(b)Whatisthewomansaveragespeedduringherentiremotion?A)0.824m/sB)1.93m/sC)2.00m/sD)1.79m/sE)800m/s

Answer: (a)A(b)CVar:1



4) Thefigureshowsthepositionofanobjectasafunctionoftime,withallnumbersaccuratetotwosignificantfigures.Betweentimet=0.0sandtimet=9.0s(a)whatistheaveragespeedoftheobject?(b)whatistheaveragevelocityoftheobject?


5) Ifthefastestyoucansafelydriveis65mi/h, whatisthelongesttimeyoucanstopfordinnerifyoumusttravel541miin9.6htotal?

A) 1.0hB) 1.3hC) 1.4hD) Youcantstopatall.

Answer: BVar:50+

6) ArthurandBettystartwalkingtowardeachotherwhentheyare100mapart.Arthurhasaspeedof3.0m/sandBettyhasaspeedof2.0m/s.Theirdog,Spot,startsbyArthurssideatthesametimeandrunsbackandforthbetweenthemat5.0m/s.BythetimeArthurandBettymeet,whatdistancehasSpotrun?Answer: 100mVar:1



7) Aracingcaracceleratesuniformlyfromrestalongastraighttrack.Thistrackhasmarkersspacedatequaldistancesalongitfromthestart,asshowninthefigure.Thecarreachesaspeedof140km/hasitpassesmarker2.Whereonthetrackwasthecarwhenitwastravelingat70km/h?

A) Beforemarker1B) Atmarker1C) Betweenmarker1andmarker2

Answer: AVar:1

8) Thefigurerepresentsthepositionofaparticleasittravelsalongthex-axis.Betweent= 2sandt=4s,whatis(a)theaveragespeedoftheparticleand(b)theaveragevelocityoftheparticle?




9) Thefigureshowsagraphofthevelocityasafunctionoftimeforabasketballplayertravelingupanddownthecourtinastraight-linepath.forthe10sshownonthegraph,find(a)thenetdisplacementoftheplayer.(b)thetotaldistancerunbytheplayer.

Answer: (a)18m(b)20mVar:1

10) Thepositionofanobjectasafunctionoftimeisgivenbyx=bt2-ct,whereb=2.0m/s2andc=6.7m/s,andxandtareinSIunits.Whatistheinstantaneousvelocityoftheobjectwhent=2.2?

A) 1.7m/sB) 2.1m/sC) 2.3m/sD) 2.7m/s

Answer: BVar:22

11) Thepositionofanobjectisgivenbyx=at3-bt2+ct,wherea=4.1m/s3,b=2.2m/s2,c=1.7m/s,andxandtareinSIunits.Whatistheinstantaneousaccelerationoftheobjectwhent=0.7s?

A) -13m/s2B) 2.9m/s2C) 4.6m/s2D) 13m/s2

Answer: DVar:36



12) Thevelocityofanobjectasafunctionoftimeisgivenbyv(t)= 2.00m/s+(3.00m/s)t-(1.0m/s2)t2.Determinetheinstantaneousaccelerationoftheobjectattimet=5.00s.

A) -8.00m/s2B) -7.00m/s2C) 2.00m/s2D) 0.00m/s2E) -2.00m/s2

Answer: BVar:5

13) Thepositionofanobjectasafunctionoftimeisgivenbyx(t)=at3-bt2+ct-d,wherea=3.6m/s3,b=4.0m/s2,c=60m/sandd=7.0m.(a)Findtheinstantaneousaccelerationat t=2.4s.(b)Findtheaverageaccelerationoverthefirst2.4seconds.Answer: (a)44m/s2

(b)18m/s2Var:1

14) Thevelocityofanobjectisgivenbytheexpressionv(t)=3.00m/s+(4.00m/s3)t2,wheretisinseconds.Determinethepositionoftheobjectasafunctionoftimeifitislocatedatx=1.00mattimet=0.000s.

A) (4.00m/s)t+1.00mB) (3.00m/s)t+(1.33m/s3)t3C) (4.00m/s)tD) 1.33mE) 1.00m+(3.00m/s)t+(1.33m/s3)t3

Answer: EVar:5

15) Theaccelerationofanobjectasafunctionoftimeisgivenbya(t)=(3.00m/s3)t,wheretisinseconds.Iftheobjectisatrestattimet=0.00s,whatisthevelocityoftheobjectattimet=6.00s?

A) 18.0m/sB) 54.0m/sC) 0.00m/sD) 15.0m/sE) 108m/s

Answer: BVar:5



16) Theaccelerationofanobjectasafunctionoftimeisgivenbya(t)=(3.00m/s3)t,wheretisinseconds.Iftheobjecthasavelocity1.00m/sattimet=1.00s,whatisthedisplacementoftheobjectbetweentimet=2.00sandtimet=4.00s?

A) 33.0mB) 30.0mC) 36.0mD) 27.0m

Answer: DVar:1

17) Acaracceleratesfrom10.0m/sto30.0m/satarateof3.00m/s2.Howfardoesthecartravelwhileaccelerating?

A) 80.0mB) 133mC) 226mD) 399m

Answer: BVar:50+

18) Adragsterstartsfromrestandtravels1/4miin6.70swithconstantacceleration.Whatisitsvelocitywhenitcrossesthefinishline?

A) 296mi/hB) 269mi/hC) 188mi/hD) 135mi/h

Answer: BVar:40

19) Aairplanethatisflyinglevelneedstoacceleratefromaspeedof2.00102m/stoaspeedof2.40102m/swhileitfliesadistanceof1.20km.Whatmustbetheaccelerationoftheplane?

A) 4.44m/s2B) 2.45m/s2C) 7.33m/s2D) 5.78m/s2E) 1.34m/s2

Answer: CVar:1

20) Arunnermaintainsconstantaccelerationafterstartingfromrestassherunsadistanceof60.0m.Therunnersspeedattheendofthe60.0mis9.00m/s.Howmuchtimedidittaketherunnertocompletethe60.0mdistance?

A) 6.67sB) 15.0sC) 9.80sD) 10.2sE) 13.3s

Answer: AVar:1



21) Anobjectstartsfromrestattimet = 0.00sandmovesinthe+x directionwithconstantacceleration.Theobjecttravels12.0mfromtimet=1.00stotimet=2.00s.Whatistheaccelerationoftheobject?

A) -12.0m/s2B) 24.0m/s2C) -4.00m/s2D) 4.00m/s2E) 8.00m/s2

Answer: EVar:5

22) Acarstartsfromrestandaccelerateswithaconstantaccelerationof1.00m/s2for3.00s.Thecarcontinuesfor5.00satconstantvelocity.Howfarhasthecartraveledfromitsstartingpoint?

A) 24.0mB) 9.00mC) 19.5mD) 4.50mE) 15.0m

Answer: CVar:1

23) Aballrollsacrossafloorwithanaccelerationof0.100m/s2inadirectionoppositetoitsvelocity.Theballhasavelocityof4.00m/safterrollingadistance6.00macrossthefloor.Whatwastheinitialspeedoftheball?

A) 4.15m/sB) 5.85m/sC) 4.60m/sD) 5.21m/sE) 3.85m/s

Answer: AVar:1

24) Acaris200mfromastopsignandtravelingtowardthesignat40.0m/s.Atthistime,thedriversuddenlyrealizesthatshemuststopthecar.Ifittakes0.200sforthedrivertoapplythebrakes,whatmustbethemagnitudeoftheconstantaccelerationofthecarafterthebrakesareappliedsothatthecarwillcometorestatthestopsign?


Answer: CVar:1



25) Aspeedingcaristravelingataconstant30.0m/swhenitpassesastationarypolicecar.Ifthepolicecardelaysfor1.00sbeforestarting,whatmustbethemagnitudeoftheconstantaccelerationofthepolicecartocatchthespeedingcarafterthepolicecartravelsadistanceof300m?


Answer: CVar:1

26) Asoccerballisreleasedfromrestatthetopofagrassyincline.After8.6 seconds,theballtravels87metersand1.0safterthis,theballreachesthebottomoftheincline.(a)Whatwasthemagnitudeoftheballsacceleration,assumeittobeconstant?(b)Howlongwastheincline?Answer: a)2.4m/s2b)110mVar:50+

27) Apackageisdroppedfromahelicoptermovingupwardat15m/s. Ifittakes16.0sbeforethepackagestrikestheground,howhighabovethegroundwasthepackagewhenitwasreleasedifairresistanceisnegligible?

A) 810mB) 1000mC) 1200mD) 1500m

Answer: BVar:25

28) Aballisprojectedupwardattime t = 0.0s,fromapointonaroof90 mabovetheground.Theballrises,thenfallsandstrikestheground.Theinitialvelocityoftheballis36.2m/sifairresistanceisnegligible.Thetimewhentheballstrikesthegroundisclosestto

A) 9.4sB) 9.0sC) 8.7sD) 9.7sE) 10s

Answer: AVar:50+

29) Atthesamemomentfromthetopofabuilding3.0102mtall,onerockisdroppedandoneisthrowndownwardwithaninitialvelocityof10m/s.Bothofthemexperiencenegligibleairresistance.HowmuchEARLIERdoesthethrownrockstriketheground?

A) 0.95sB) 0.86sC) 0.67sD) Theylandatexactlythesametime.

Answer: AVar:21



30) TwoidenticalobjectsAandBfallfromrestfromdifferentheightstothegroundandfeelnoappreciableairresistance.IfobjectBtakesTWICEaslongasobjectAtoreachtheground,whatistheratiooftheheightsfromwhichAandBfell?

A) hA/hB=1/ 2B) hA/hB=1/2C) hA/hB=1/4D) hA/hB=1/8

Answer: CVar:1

31) Afoulballishitstraightupintotheairwithaspeedof30.0m/s.(a) Calculatethetimerequiredfortheballtorisetoitsmaximumheight.(b) Calculatethemaximumheightreachedbytheball.(c) Determinethetimeatwhichtheballpassapoint25.0mabovethepointofcontactbetweenthebatandball.(d) Explainwhytherearetwoanswerstopart(c).Answer: (a)3.06s(b)45.9m(c)0.995sand5.13

(d)Onevalueisfortheballtravelingupward;onevalueisfortheballtravelingdownward.

Var:1

32) Arockisdroppedfromthetopofaverticalcliffandtakes3.00storeachthegroundbelowthecliff.Asecondrockisthrownverticallyfromthecliff,andittakesthisrock2.00storeachthegroundbelowtheclifffromthetimeitisreleased.Withwhatvelocitywasthesecondrockthrown,assumingnoairresistance?

A) 4.76m/supwardB) 5.51m/sdownwardC) 12.3m/supwardD) 4.76m/sdownwardE) 12.3m/sdownward

Answer: EVar:1

33) Todeterminetheheightofaflagpole,Abbythrowsaballstraightupandtimesit.Sheseesthattheballgoesbythetopofthepoleafter0.50sandthenreachesthetopofthepoleagainafteratotalelapsedtimeof4.1s.Howhighisthepoleabovethepointwheretheballwaslaunched?(Youcanignoreairresistance.)

A) 10mB) 13mC) 16mD) 18mE) 26m

Answer: AVar:1



34) Atestrocketisfiredstraightupfromrestwithanetaccelerationof20.0m/s2.After4.00secondsthemotorturnsoff,buttherocketcontinuestocoastupwardwithnoappreciableairresistance.Whatmaximumelevationdoestherocketreach?

A) 487mB) 327mC) 320mD) 408mE) 160m

Answer: AVar:1

35) Atoyrocketislaunchedverticallyfromgroundlevel(y = 0.00m),attimet=0.00s.Therocketengineprovidesconstantupwardaccelerationduringtheburnphase.Attheinstantofengineburnout,therockethasrisento72mandacquiredavelocityof30m/s.Therocketcontinuestoriseinunpoweredflight,reachesmaximumheight,andfallsbacktothegroundwithnegligibleairresistance.Thespeedoftherocketuponimpactonthegroundisclosestto

A) 48m/sB) 44m/sC) 39m/sD) 54m/sE) 59m/s

Answer: AVar:50+

36) Aballisprojectedupwardattimet = 0.00s,fromapointonaroof 70 mabovethegroundandexperiencesnegligibleairresistance.Theballrises,thenfallsandstrikestheground.Theinitialvelocityoftheballis28.5m/s.Considerallquantitiesaspositiveintheupwarddirection.Thevelocityoftheballwhenitis39mabovethegroundisclosestto

A) -38m/s.B) -30m/s.C) -23m/s.D) -15m/s.E) -45m/s.

Answer: AVar:50+

37) Ontheearth,whenanastronautthrowsa0.250-kgstoneverticallyupward,itreturnstohishandatimeTlater.OnplanetXhefindsthat,underthesamecircumstances,thestonereturnstohishandin2T.Inbothcases,hethrowsthestonewiththesameinitialvelocityanditfeelsnegligibleairresistance.TheaccelerationduetogravityonplanetX(intermsofg)is

A) g/4.B) g/2.C) g/ 2.D) g 2.E) 2g.

Answer: BVar:1



38) Twoidenticalstonesaredroppedfromrestandfeelnoairresistanceastheyfall.StoneA isdroppedfromheighth,andstoneBisdroppedfromheight2h.IfstoneAtakestimettoreachtheground,stoneBwilltaketime

A) 4t.B) 2t.C) t 2.D) t/ 2.E) t/2.

Answer: CVar:1

39) Arockisthrowndirectlyupwardfromtheedgeoftheroofofabuildingthatis 66.2meterstall.Therockmissesthebuildingonitswaydown,andisobservedtostriketheground4.00secondsafterbeingthrown.Neglectanyeffectsofairresistance.Withwhatspeedwastherockthrown?Answer: 3.05m/sVar:50+

40) Arockettakesoffverticallyfromthelaunchpadwithnoinitialvelocitybutaconstantupwardaccelerationof2.25m/s2.At15.4safterblastoff,theenginesfailcompletelysotheonlyforceontherocketfromthenonisthepullofgravity.(a)Whatisthemaximumheighttherocketwillreachabovethelaunchpad?(b)Howfastistherocketmovingattheinstantbeforeitcrashesontothelaunchpad?(c)Howlongafterenginefailuredoesittakefortherockettocrashontothelaunchpad?Answer: (a)328m(b)80.2m/s(c)11.7sVar:1


Chapter3 VectorsandCoordinateSystems

3.1 ConceptualQuestions1) Whichofthefollowingisanaccuratestatement?

A) Themagnitudeofavectorcanbezeroeventhoughoneofitscomponentsisnotzero.B) Itispossibletoaddascalarquantitytoavector.C) Eventhoughtwovectorshaveunequalmagnitudes,itispossiblethattheirvectorsumis

zero.D) Rotatingavectoraboutanaxispassingthroughthetipofthevectordoesnotchangethe

vector.E) Themagnitudeofavectorisindependentofthecoordinatesystemused.

Answer: EVar:1

2) IfA -B =0,thenthevectorsA andB haveequalmagnitudesandaredirectedintheoppositedirectionsfromeachother.

A) TrueB) False

Answer: BVar:1

3) Underwhatconditionis|A -B |=A+B?A) ThemagnitudeofvectorB iszero.B) VectorsA andB areinoppositedirections.C) VectorsA andB areinthesamedirection.D) VectorsA andB areinperpendiculardirections.E) Thestatementisnevertrue.

Answer: BVar:1

4) IfA>B,underwhatconditionis| A -B |=A-B?A) Thestatementisnevertrue.B) VectorsA andB areinoppositedirections.C) VectorsA andB areinthesamedirection.D) VectorsA andB reinperpendiculardirections.E) Thestatementisalwaystrue.

Answer: CVar:1


Chapter3:VectorsandCoordinateSystems

5) Forthevectorsshowninthefigure,expressvectorS intermsofvectorsM andN .

Answer: S =M -NVar:1

6) Themagnitudeofavectorcanneverbelessthanthemagnitudeofoneofitscomponents.A) TrueB) False

Answer: AVar:1

7) Ifthemagnitudeofvector A islessthanthemagnitudeofvector B ,thenthexcomponentofA islessthanthexcomponentofB .A) TrueB) False

Answer: BVar:1

8) IftheeastwardcomponentofvectorA isequaltothewestwardcomponentofvectorB andtheirnorthwardcomponentsareequal.Whichoneofthefollowingstatementsaboutthesetwovectorsiscorrect?

A) VectorA isparalleltovectorB .B) VectorsA andB pointinoppositedirections.C) VectorA isperpendiculartovectorB .D) ThemagnitudeofvectorA isequaltothemagnitudeofvectorB .E) ThemagnitudeofvectorA istwicethemagnitudeofvectorB .

Answer: DVar:1

9) Ifallthecomponentsofavectorareequalto1,thenthatvectorisaunitvector.A) TrueB) False

Answer: BVar:1



3.2 Problems

1) Youwalk55mtothenorth,thenturn60 toyourrightandwalkanother45m.Howfarareyoufromwhereyouoriginallystarted?

A) 87mB) 50mC) 94mD) 46m

Answer: AVar:31

2) VectorsA andB areshowninthefigure.Vector C isgivenbyC =B -A .ThemagnitudeofvectorA is16.0units,andthemagnitudeofvector B is7.00units.WhatisthemagnitudeofvectorC ?

A) 9.00B) 9.53C) 15.5D) 16.2E) 17.5

Answer: DVar:1



3) VectorsA andB areshowninthefigure.Vector C isgivenbyC =B -A .ThemagnitudeofvectorA is16.0units,andthemagnitudeofvector B is7.00units.WhatistheangleofvectorC ,measuredcounterclockwisefromthe+x-axis?

A) 16.9B) 22.4C) 73.1D) 287E) 292

Answer: DVar:1

4) Arabbittryingtoescapeafoxrunsnorthfor8.0 m,dartsnorthwestfor1.0m,thendrops1.0mdownaholeintoitsburrow.Whatisthemagnitudeofthenetdisplacementoftherabbit?

A) 8.8mB) 8.1mC) 66mD) 10m

Answer: AVar:50+

5) Youwalk53mtothenorth,thenturn60 toyourrightandwalkanother45m.Determinethedirectionofyourdisplacementvector.Expressyouranswerasananglerelativetoeast.

A) 63NofEB) 50NofEC) 57NofED) 69NofE

Answer: AVar:50+



6) VectorA hasamagnitude5.00andpointsinadirection40.0clockwisefromthenegativeyaxis.WhatarethexandycomponentsofvectorA .

A) Ax=3.83andAy=3.21B) Ax=3.83andAy=-3.21C) Ax=-3.21andAy=-3.83D) Ax=-3.21andAy=3.83E) Ax=4.29andAy=2.16

Answer: CVar:5

7) ThecomponentsofvectorA areAx=+3.90andAy=-4.00.Whatistheanglemeasuredcounterclockwisefromthe+x-axistovectorA?

A) 314B) 134C) 224D) 136E) 46.0

Answer: AVar:1

8) VectorA hasamagnitudeof5.5cmandpointsalongthex-axis.Vector B hasamagnitudeof7.5cmandpointsat+30abovethenegativex-axis.(a)DeterminethexandycomponentsofVectorA .(b)DeterminethexandycomponentsofVectorB.(c)Determinexandycomponentsofthesumofthesetwovectors.(d)Determinethemagnitudeanddirectionofthesumofthesetwovectors.Answer: (a)Ax=5.5cm,Ay= 0

(b)Bx=-6.5cm,By=3.8cm(c)Rx=-1.0cm,Ry=3.8cm(d)3.9cmat75above-x-axis

Var:1



9) VectorA hasamagnitudeof75.0cmandpointsat30abovethepositivex-axis.Vector Bhasamagnitudeof25.0cmandpointsalongthenegativex-axis.VectorC hasamagnitudeof40.0cmandpointsat45belowthenegativex-axis.(a)DeterminethexandycomponentsofVectorA .(b)DeterminethexandycomponentsofVectorB .(c)DeterminethexandycomponentsofVectorC .(d)Determinexandycomponentsofthesumofthesethreevectors.(e)Determinethemagnitudeanddirectionofthesumofthesethreevectors.Answer: (a)Ax=65cm,Ay=38cm

(b)Bx=-25cm,By=0(c)Cx=-28cm,Cy=-28cm(d)Rx=12cm,Ry=9.2cm(e)15cmat38above+x-axis

Var:1

10) Ahelicopterisflyinghorizontallywithaspeedof444 m/soverahillthatslopesupwardwitha2%grade(thatis,theriseis2%oftherun).Whatisthecomponentofthehelicoptersvelocityperpendiculartotheslopingsurfaceofthehill?

A) 8.9m/sB) 220m/sC) 435m/sD) 444m/s

Answer: AVar:50+

11) Anapplefallsfromanappletreegrowingona20 slope.Theapplehitsthegroundwithanimpactvelocityof16.2m/sstraightdownward.Whatisthecomponentoftheapplesimpactvelocityparalleltothesurfaceoftheslope?

A) 5.5m/sB) 8.7m/sC) 12m/sD) 15m/s

Answer: AVar:50+

12) ThecomponentsofvectorA areAx=+2.2andAy=-6.9,andthecomponentsofvectorB aregivenareBx=-6.1andBy=-2.2.Whatisthemagnitudeofthevector B -A?

A) 9.5B) 6.1C) 9.9D) 91E) 0.76

Answer: AVar:50+



13) ThecomponentsofvectorB areBx=-3.5andBy=-9.7,andthecomponentsofvectorC areCx=-6andCy=+8.1.Whatistheangle(lessthan180degrees)betweenvectors B andC ?

A) 124B) 56C) 17D) 163E) 106

Answer: AVar:50+

14) Anairplaneundergoesthefollowingdisplacements:First,itflies66kminadirection30 eastofnorth.Next,itflies49kmduesouth.Finally,itflies100km30northofwest.Usingvectorcomponents,determinehowfartheairplaneendsupfromitsstartingpoint.

A) 79kmB) 81kmC) 82kmD) 78kmE) 76km

Answer: AVar:1

15) Inthefigure,themagnitudeofvectorA is18.0units,andthemagnitudeofvector B is12.0units.WhatvectorC mustbeaddedtothevectorsA andB sothattheresultantofthesethreevectorspointsinthe-xdirectionandhasamagnitudeof7.50units?Usevectorcomponentstofindyouranswer,andexpressvector C bygivingitsmagnitudeandtheangleitmakeswiththe+x-axistakingcounterclockwisetobepositive.

Answer: 15.5,209Var:1



16) Threeforcesareexertedonanobjectplacedonatiltedfloor.Forcesarevectors.Thethreeforcesaredirectedasshowninthefigure.Iftheforceshavemagnitudes F1=1.0N,F2=8.0NandF3=7.0N,whereNisthestandardunitofforce,whatisthecomponentofthenetforceFnet=F1+F2+F3paralleltothefloor?

A) 2.5NB) 5.1NC) 6.0ND) 7.8N

Answer: AVar:29

17) Asshowninthefigure,threeforcevectorsactonanobject.ThemagnitudesoftheforcesasshowninthefigureareF1=80.0N,F2=60.0N,andF3=40.0N,whereNisthestandardSIunitofforce.Theresultantforceactingontheobjectisgivenby

A) 180Natanangle60.0withrespectto+x-axis.B) 60.0Natanangle90.0withrespectto+x-axis.C) 20.0Natanangle34.3withrespectto+x-axis.D) 35.5Natanangle34.3withrespectto+x-axis.E) 40.0Natanangle60.0withrespectto+x-axis.

Answer: DVar:1



18) Ateachersendsherstudentsonatreasurehunt.Shegivesthefollowinginstructions:1.Walk300mnorth2.Walk400mnorthwest3.Walk700meast-southeastandthetreasureisburiedthere.Asalltheotherstudentswalkofffollowingtheinstructions,Janephysicsstudentquicklyaddsthedisplacementsandwalksinastraightlinetofindthetreasure.HowfarandinwhatdirectiondoesJaneneedtowalk?

A) 187minadirection67.3 northofeastB) 481minadirection40.9 northofeastC) 399minadirection52.5 northofeastD) 284minadirection28.2 westofnorthE) Thetreasurepositioncannotbereachedinonestraightwalk.

Answer: BVar:1

19) VectorA =-3.00i^+3.00jândvectorB =3.00i^+4.00j^.WhatisvectorC =A +B ?A) 0.00i^+3.00j^B) 7.00i^+7.00j^C) -3.00i^+7.00j^D) 0.00i^+7.00jÊ) -3.00i^-3.00j^

Answer: DVar:1

20) VectorA =1.00i^+-2.00jândvectorB =3.00i^+4.00j^.WhatarethemagnitudeanddirectionofvectorC =A +B ?

A) 7.21inadirection33.7counterclockwisefromthepositivex axisB) 6.00inadirection63.4counterclockwisefromthepositivex axisC) 4.47inadirection6.34counterclockwisefromthepositivex axisD) 4.47inadirection26.6counterclockwisefromthepositivex axisE) 7.21inadirection56.3counterclockwisefromthepositivex axis

Answer: DVar:1

21) Whatisthemagnitudeof A +B +C ,whereA =1.00i^+4.00j^-1.00k^,B =3.00i^-1.00j^-4.00kândC =-1.00i^+1.00j^?

A) 7.07B) 2.00C) 10.76D) 6.78E) 8.12

Answer: AVar:9



22) IfA =+4i^-2j^-3k^andC =-4i^-2j^-3k^,whichofthefollowingnumbersisclosesttothemagnitudeofA -C ?

A) 8B) 7C) 9D) 10E) 11

Answer: AVar:50+

23) VectorA =-1.00i^+-2.00j^andvectorB =3.00i^+4.00j^.WhatarethemagnitudeanddirectionofvectorC =3.00A +2.00B ?

A) 3.61inadirection-56.3 counterclockwisefromthepositivex-axisB) 3.61inadirection56.3counterclockwisefromthepositivex-axisC) 3.61inadirection33.7counterclockwisefromthepositivex-axisD) 5.00inadirection56.3counterclockwisefromthepositivex axisE) 6.72inadirection34.4counterclockwisefromthepositivex-axis

Answer: CVar:1

24) VectorsA andB areshowninthefigure.Whatis -5.00A +4.00B ?

A) 31.8

B) -32.0i^-2.00j^

C) 1028D) 34.0

E) -2.00i^-32.0j^

Answer: AVar:1


Chapter4 KinematicsinTwoDimensions

4.1 ConceptualQuestions1) Shownbelowarethevelocityandaccelerationvectorsforapersoninseveraldifferenttypesof

motion.Inwhichcaseisthepersonslowingdownandturningtohisright?A)

B)

C)

D)

E)

Answer: BVar:1


Chapter4:KinematicsinTwoDimensions

2) Whileanobjectisinprojectilemotion(withupwardbeingpositive)withnoairresistanceA) thehorizontalcomponentofitsvelocityremainsconstantandthehorizontalcomponent

ofitsaccelerationisequalto-g.B) thehorizontalcomponentofitsvelocityremainsconstantandtheverticalcomponentof

itsaccelerationisequalto-g.C) thehorizontalcomponentofitsvelocityremainsconstantandtheverticalcomponentof

itsaccelerationisequaltozero.D) theverticalcomponentofbothitsvelocityanditsaccelerationremainconstant.E) theverticalcomponentofitsvelocityremainsconstantandtheverticalcomponentofits

accelerationisequalto-g.Answer: BVar:1

3) Forgeneralprojectilemotion,whentheprojectileisatthehighestpointofitstrajectoryA) itsaccelerationiszero.B) itsvelocityisperpendiculartotheacceleration.C) itsvelocityandaccelerationarebothzero.D) thehorizontalcomponentofitsvelocityiszero.E) thehorizontalandverticalcomponentsofitsvelocityarezero.

Answer: BVar:1

4) AliceandTomdivefromanoverhangintothelakebelow.Tomsimplydropsstraightdownfromtheedge,butAlicetakesarunningstartandjumpswithaninitialhorizontalvelocityof25m/s.Neitherpersonexperiencesanysignificantairresistance.Justastheyreachthelakebelow

A) thespeedofAliceislargerthanthatofTom.B) thesplashdownspeedofAliceislargerthanthatofTom.C) theywillbothhavethesamespeed.D) thespeedofTomwillalwaysbe9.8m/slargerthanthatofAlice.E) thespeedofAlicewillalwaysbe25m/slargerthanthatofTom.

Answer: AVar:1

5) AliceandTomdivefromanoverhangintothelakebelow.Tomsimplydropsstraightdownfromtheedge,butAlicetakesarunningstartandjumpswithaninitialhorizontalvelocityof25m/s.Neitherpersonexperiencesanysignificantairresistance.Comparethetimeittakeseachofthemtoreachthelakebelow.

A) Alicereachesthesurfaceofthelakefirst.B) Tomreachesthesurfaceofthelakefirst.C) AliceandTomwillreachthesurfaceofthelakeatthesametime.

Answer: CVar:1



6) JanandLenthrowidenticalrocksoffatallbuildingatthesametime.Thegroundnearthebuildingisflat.Janthrowsherrockstraightdownward.Lenthrowshisrockdownwardandoutwardsuchthattheanglebetweentheinitialvelocityoftherockandthehorizonis30.LenthrowstherockwithaspeedtwicethatofJansrock.Ifairresistanceisnegligible,whichrockhitsthegroundfirst?

A) Theyhitatthesametime.B) Jansrockhitsfirst.C) Lensrockhitsfirst.D) Itisimpossibletoknowfromtheinformationgiven.

Answer: AVar:1

7) Amonkeyissittingatthetopofatree20mabovegroundlevel.Apersonstandingonthegroundwantstofeedthemonkey.Heusesabowandarrowtolaunchthefoodtothemonkey.Ifthepersonknowsthatthemonkeyisgoingtodropfromthetreeatthesameinstantthatthepersonlaunchesthefood,howshouldthepersonaimthearrowcontainingthefood?Airresistanceissmallenoughtobeignored.

A) Heshouldaimitatthemonkey.B) Heshouldaimitbelowthemonkey.C) Heshouldaimitabovethemonkey.

Answer: AVar:1

8) Apilotdropsapackagefromaplaneflyinghorizontallyataconstantspeed.Neglectingairresistance,whenthepackagehitsthegroundthehorizontallocationoftheplanewill

A) bebehindthepackage.B) beoverthepackage.C) beinfrontofthepackage.D) dependofthespeedoftheplanewhenthepackagewasreleased.

Answer: BVar:1

9) Foranobjectinuniformcircularmotion,itsvelocityandaccelerationvectorsarealwaysperpendiculartoeachotherateverypointinthepath.

A) TrueB) False

Answer: AVar:1

10) Ifanobjecttravelsataconstantspeedinacircularpath,theaccelerationoftheobjectisA) largerinmagnitudethesmallertheradiusofthecircle.B) inthesamedirectionasthevelocityoftheobject.C) smallerinmagnitudethesmallertheradiusofthecircle.D) intheoppositedirectionofthevelocityoftheobject.E) zero.

Answer: AVar:1



11) PointPinthefigureindicatesthepositionofanobjecttravelingatconstantspeedclockwisearoundthecircle.WhicharrowbestrepresentsthedirectionoftheaccelerationoftheobjectatpointP?

A)

B)

C)D)

E)

Answer: DVar:1

12) Ifyousetthecruisecontrolofyourcartoacertainspeedandtakeaturn,thespeedofthecarwillremainthesame.Isthecaraccelerating?

A) YesB) No

Answer: AVar:1



4.2 Problems

1) ObjectAhasapositionasafunctionoftimegivenby rA(t)=(3.00m/s)ti^+(1.00m/s2)t2j^.ObjectBhasapositionasafunctionoftimegivenby rB(t)=(4.00m/s)ti^+(-1.00m/s2)t2j^.AllquantitiesareSIunits.WhatisthedistancebetweenobjectAandobjectBattime t=3.00s?

A) 34.6mB) 15.0mC) 18.3mD) 3.46mE) 29.8m

Answer: CVar:5

2) Anobjecthasapositiongivenby r =[2.0m+(5.00m/s)t]i^+[3.0m-(2.00m/s2)t2]j^,wherequantitiesareinSIunits.Whatisthespeedoftheobjectattimet=2.00s?


Answer: BVar:5

3) Anobjecthasapositiongivenby r =[2.0m+(3.00m/s)t]i^+[3.0m-(2.00m/s2)t2]j^,whereallquantitiesareinSIunits.Whatisthemagnitudeoftheaccelerationoftheobjectattimet=2.00s?


Answer: DVar:5

4) ThehorizontalcoordinatesofaFrisbeeTMinastrongwindaregivenbyx=-12t+4t2andy=10t-3t2,wherexandyareinmeters,andtisinseconds.(a)WhatistheaccelerationoftheFrisbee?Giveamagnitudeandadirection,measuringanglesfromthepositivexdirection.(b)Whatisthemagnitudeofthevelocityatt=2.0s,accuratetothenearestm/s?Answer: (a)10m/s2,323

(b)4m/sVar:1



5) Anelectronmoveswithaconstanthorizontalvelocityof3.0106m/sandnoinitialverticalvelocityasitentersadeflectorinsideaTVtube.Theelectronstrikesthescreenaftertraveling17.0cmhorizontallyand40.0cmverticallyupwardwithnohorizontalacceleration.Whatistheconstantverticalaccelerationprovidedbythedeflector?(Theeffectsofgravitycanbeignored.)

A) 2.51014m/s2B) 8.3102m/s2C) 1.4104m/s2D) 1.21014m/s2

Answer: AVar:50+

6) AhockeypuckslidesofftheedgeofatableatpointAwithaninitialvelocityof20.0m/sandexperiencesnoairresistance.Theheightofthetabletopabovethegroundis2.00m.(a)Whatisthespeed(notthevelocity)ofthepuckjustbeforeittouchestheground?(b)WhatisthedistancebetweenpointAandthepointwherethepuckhitstheground?Answer: (a)21.0m/s(b)12.9mVar:1

7) Ahockeypuckslidesofftheedgeofatablewithaninitialvelocityof28.0m/s.andexperiencesnoairresistance.Theheightofthetabletopabovethegroundis2.00m.Whatistheanglebelowthehorizontalofthevelocityofthepuckjustbeforeithitstheground?

A) 77.2B) 72.6C) 12.8D) 12.6E) 31.8

Answer: DVar:6

8) Aboythrowsarockwithaninitialvelocityof2.15 m/s at30.0 abovethehorizontal.Ifairresistanceisnegligible,howlongdoesittakefortherocktoreachthemaximumheightofitstrajectory?

A) 0.110sB) 0.194sC) 0.215sD) 0.303s

Answer: AVar:50+

9) Whatisthemaximumdistancewecanshootadart,fromgroundlevel,providedourtoydartgungivesamaximuminitialvelocityof2.78m/sandairresistanceisnegligible?

A) 0.789mB) 1.58mC) 1.39mD) 0.394m

Answer: AVar:50+



10) AcatapultistestedbyRomanlegionnaires.Theytabulatetheresultsinapapyrusand2000yearslaterthearchaeologicalteamreads(distancestranslatedintomodernunits):Range=0.20km;angleoflaunch=/4;landingheight=launchheight.Whatistheinitialvelocityoflaunchofthebouldersifairresistanceisnegligible?

A) 44m/sB) 1.4m/sC) 22m/sD) 0.69m/s

Answer: AVar:20

11) Ahobbyrocketreachesaheightof72.3 m andlands111 m fromthelaunchpointwithnoairresistance.Whatwastheangleoflaunch?

A) 69.0B) 67.4C) 22.6D) 44.8

Answer: AVar:50+

12) Aballisthrownata60.0angleabovethehorizontalacrosslevelground.Itisthrownfromaheightof2.00mabovethegroundwithaspeedof20.0m/sandexperiencesnoappreciableairresistance.Thetimetheballremainsintheairbeforestrikingthegroundisclosestto

A) 16.2s.B) 3.07s.C) 3.32s.D) 3.53s.E) 3.64s.

Answer: EVar:5

13) Arockisthrownatawindowthatislocated18.0mabovetheground.Therockisthrownatanangleof40.0abovehorizontal.Therockisthrownfromaheightof2.00mabovethegroundwithaspeedof30.0m/sandexperiencesnoappreciableairresistance.Iftherockstrikesthewindowonitsupwardtrajectory,fromwhathorizontaldistancefromthewindowwasitreleased?

A) 53.2mB) 48.7mC) 71.6mD) 29.8mE) 27.3m

Answer: EVar:1



14) Anairplaneisflyingataspeedof2.00102m/sinlevelflightatanaltitudeof8.00102m.Apackageistobedroppedfromtheairplanetolandonatargetontheground.Ignoreairresistance.(a)Atwhathorizontaldistanceawayfromthetargetshouldthepackagebereleasedsothatitlandsonthetarget?(b)Inwhatdirectionrelativetothehorizontalwillthepackagebetravelingwhenithitstheground?Answer: (a)2.56km(b)32.1belowthehorizontalVar:1

15) Achildthrowsaballwithaninitialspeedof8.00m/satanangleof40.0abovethehorizontal.Theballleavesherhand1.00mabovethegroundandexperiencenegligibleairresistance.(a)Howfarfromwherethechildisstandingdoestheballhittheground?(b)Howlongistheballinflightbeforeithitstheground?Answer: (a)7.46m(b)1.22sVar:1

16) Achildthrowsaballwithaninitialspeedof8.00m/satanangleof40.0abovethehorizontal.Theballleavesherhand1.00mabovethegroundandexperiencenegligibleairresistance.(a)Whatisthemagnitudeoftheballsvelocityjustbeforeithitstheground?(b)Atwhatanglebelowthehorizontaldoestheballapproachtheground?Answer: (a)9.14m/s(b)47.9Var:1

17) Aprojectileisfiredfrompoint0 attheedgeofacliff,withinitialvelocitycomponentsof0x=60m/sand0y=175m/s,asshowninthefigure.TheprojectilerisesandthenfallsintotheseaatpointP.Thetimeofflightoftheprojectileis40.0s,anditexperiencesnoappreciableairresistanceinflight.Whatisthemagnitudeofthevelocityoftheprojectile21.0safteritisfired?

Answer: 67.4m/sVar:1



18) Aprojectileisfiredfrompoint0 attheedgeofacliff,withinitialvelocitycomponentsofv0x =60.0m/sandv0y=175m/s,asshowninthefigure.TheprojectilerisesandthenfallsintotheseaatpointP.Thetimeofflightoftheprojectileis40.0s,anditexperiencesnoappreciableairresistanceinflight.Whatistheheightofthecliff?

Answer: 840mVar:1

19) Ahikerthrowsastonefromtheupperedgeofaverticalcliff.Thestonesinitialvelocityis25.0m/sdirectedat40.0withthefaceofthecliff,asshowninthefigure.Thestonehitstheground3.75safterbeingthrownandfeelsnoappreciableairresistanceasitfalls.(a)Whatistheheightofthecliff?(b)Howfarfromthefootofthecliffdoesthestoneland?(c)Howfastisthestonemovingjustbeforeithitstheground?

Answer: (a)141m(b)60.3m(c)58.2m/sVar:1



20) Aprojectilereturnstoitsoriginalheight4.08safterbeinglaunched,duringwhichtimeittravels76.2mhorizontally.Ifairresistancecanbeneglected,whatwastheprojectilesinitialspeed?Answer: 27.4m/sVar:1

21) Aplaneflyingat70.0m/ssuddenlystalls.Iftheaccelerationduringthestallis9.8m/s2directlydownward,thestalllasts5.0s,andtheplanewasoriginallyclimbingat25tothehorizontal,whatisthevelocityafterthestall?

A) 66m/sat17belowthehorizontalB) 66m/sat17abovethehorizontalC) 80m/sat37belowthehorizontalD) 80m/sat37abovethehorizontal

Answer: AVar:1

22) Arescueplaneflyinghorizontallyat72.6 m/s spotsasurvivorintheocean182mdirectlybelowandreleasesanemergencykitwithaparachute..Becauseoftheshapeoftheparachute,itexperiencesinsignificanthorizontalairresistance.Ifthekitdescendswithaconstantverticalaccelerationof5.82m/s2,howfarawayfromthesurvivorwillithitthewaves?

A) 574mB) 4.54kmC) 406mD) 602m

Answer: AVar:50+

23) Anairplanefliesbetweentwopointsonthegroundthatare500kmapart.Thedestinationisdirectlynorthoftheoriginationoftheflight.Theplaneflieswithanairspeedof120m/s.Ifaconstantwindblowsat10.0m/sduewestduringtheflight,whatdirectionmusttheplaneflyrelativetonorthtoarriveatthedestination?

A) 4.78eastofnorthB) 4.76eastofnorthC) 85.2westofnorthD) 4.78westofnorthE) 4.76westofnorth

Answer: AVar:1

24) Aplanehasaneastwardheadingataspeedof156m/s(relativetotheair).A20.0m/swindisblowingsouthwardwhiletheplaneisflying.Thevelocityoftheplanerelativetothegroundis

A) 157m/satanangle7.31southofeast.B) 157m/satanangle7.31eastofsouth.C) 155m/satanangle7.36southofeast.D) 155m/satanangle7.36eastofsouth.E) 157m/satanangle7.36southofeast.

Answer: AVar:1



25) Aswimmerheadingdirectlyacrossariver200mwidereachestheoppositebankin 6min40s,duringwhichtimesheissweptdownstream480m.(a)Howfastcansheswiminstillwater?(b)Whatisthespeedofthecurrent?Answer: (a)0.50m/s(b)1.2m/sVar:1

26) Asmallboatismovingatavelocityof3.35 m/s whenitisacceleratedbyarivercurrentperpendiculartotheinitialdirectionofmotion.Iftheaccelerationofthecurrentis0.750m/s2,whatwillbethenewvelocityoftheboatafter33.5s?

A) 25.3m/sat82.4frominitialdirectionofmotionB) 25.3m/sat7.59frominitialdirectionofmotionC) 640.1m/sat82.4frominitialdirectionofmotionD) 640.1m/sat7.59frominitialdirectionofmotion

Answer: AVar:50+

27) Youwanttoswimstraightacrossariverthatis76m wide.Youfindthatyoucandothisifyouswimatanangleof=28fromtheupstreamdirectionataconstantrateof1.5m/srelativetothewater.Atwhatratedoestheriverflow?Theangleismeasuredfromtheriverbank(directlyupstreamis=0whiledirectlyacrosstheriveris=90).

A) 1.3m/sB) 0.70m/sC) 1.6m/sD) 1.8m/s

Answer: AVar:14

28) Along-distanceswimmerisabletoswimthroughstillwaterat4.0km/h.ShewishestotrytoswimfromPortAngeles,Washington,directlynorthtoVictoria,BritishColumbia,adistanceof50km.AnoceancurrentflowsthroughtheStraitofJuandeFucafromwesttoeastat3.0km/h.Inwhatdirection(relativetonorth)shouldsheswimtomakethecrossingalongastraightlinebetweenthetwocities?

A) 37westofnorthB) 37eastofnorthC) 41westofnorthD) 41eastofnorthE) 49westofnorth

Answer: EVar:1



29) Aplanefliesdirectlybetweentwocities,A andB,whichareseparatedby2300mi.FromA toB,theplanefliesintoa65mi/hheadwind.OnthereturntripfromBtoA,thewindvelocityisunchanged.ThetripfromBtoAtakes65minlessthanthetripfromAtoB.Whatistheairspeedoftheplane,assumingitisthesameinbothdirections?

A) 530mi/hB) 400mi/hC) 480mi/hD) 610mi/h

Answer: AVar:31

30) Acartismovingwithaconstanthorizontalvelocityof5.00m/s.Asmallpebbleislaunchedfromthefrontofthecartwithavelocityof8.00m/sat60.0abovethehorizontalasmeasuredrelativetothecart(seefigure)andexperiencesnosignificantairresistance.Justasthepebblereturnstothelevelfromwhichitwaslaunched,itsdistancefromthefrontofthecartisclosestto

A) 2.83m.B) 4.60m.C) 5.66m.D) 9.19m.E) 11.3m.

Answer: CVar:1

31) Aballistiedtotheendofacableofnegligiblemass.Theballisspuninacirclewitharadius2.00mmaking7.00revolutionsevery10.0seconds.Whatisthemagnitudeoftheaccelerationoftheball?


Answer: BVar:1



32) Anelectricalmotorspinsataconstant2857.0 rev/min. Ifthearmatureradiusis2.685cm, whatistheaccelerationoftheouteredgeofthearmature?

A) 2403m/s2B) 844.4m/s2C) 241,100m/s2D) 84.40m/s2

Answer: AVar:50+

33) Asatelliteorbitstheearthadistanceof1.50107mabovetheplanetssurfaceandtakes8.65hoursforeachrevolutionabouttheearth.Theearthsradiusis6.38106m.Theaccelerationofthissatelliteisclosestto

A) 0.0690m/s2.B) 0.870m/s2.C) 1.91m/s2.D) 2.72m/s2.E) 9.80m/s2.

Answer: BVar:1

34) Anaircraftperformsamaneuvercalledanaileronroll.Duringthismaneuver,theplaneturnslikeascrewasitmaintainsastraightflightpath,whichsetsthewingsincircularmotion.Ifittakesit35stocompletethecircleandthewingspanoftheplaneis11m,whatistheaccelerationofthewingtip?

A) 0.18m/s2B) 0.99m/s2C) 5.6m/s2D) 1.0m/s2

Answer: AVar:50+

35) AnobjectmovesinacircleofradiusR atconstantspeedwithaperiodT.Ifyouwanttochangeonlytheperiodinordertocuttheobjectsaccelerationinhalf,thenewperiodshouldbe

A) T/4.B) T/2.C) T/ 2.D) T 2.E) 4T.

Answer: DVar:1



36) Awindfarmgeneratorusesatwo-bladedpropeller(seefigure)mountedonapylonataheightof20m.Thelengthofeachpropellerbladeis12m.Asmallpiecefromthetipofthepropellerbreaksoffwhenthepropellerisvertical.Atthatinstant,theperiodofthemotionofthepropelleris1.2s.Thefragmentfliesoffhorizontally,fallswithnegligibleairresistance,andstrikesthegroundatP.(a)HowfarispointPfromthebaseofthepylon?(b)AtwhatanglewithrespecttotheverticalisthefragmentmovingjustasitstrikesthegroundatP?

Answer: (a)160m(b)68Var:1

37) Adisk-shapedspacestation175mindiameterspinsuniformlyaboutanaxisperpendiculartotheplaneofthediskthroughitscenter.Howmanyrpm(rev/min)mustthisdiskmakesothattheaccelerationofallpointsonitsrimisg/2?Answer: 2.26rev/minVar:1

38) Twoparticles,AandB,areinuniformcircularmotionaboutacommoncenter.TheaccelerationofparticleAis8.5timesthatofparticleB.TheperiodofparticleBis2.0timestheperiodofparticleA.TheratiooftheradiusofthemotionofparticleAtothatofparticleBisclosestto

A) rA/rB=2.1.B) rA/rB=4.3.C) rA/rB=18.D) rA/rB=0.24.E) rA/rB=17.

Answer: AVar:50+


Chapter5 ForceandMotion

5.1 ConceptualQuestions1) PointPinthefigureindicatesthepositionofanobjecttravelingatconstantspeedclockwise

aroundthecircle.Whicharrowbestrepresentthedirectiontheobjectwouldtravelifthenetexternalforceonitweresuddenlyreducedtozero?

A)

B)

C)D)

E)

Answer: DVar:1

2) Anobjectismovingtotheright,andexperiencinganetforcethatisdirectedtotheright.Themagnitudeoftheforceisdecreasingwithtime.Thespeedoftheobjectis

A) increasing.B) decreasing.C) constantintime.

Answer: AVar:1


Chapter5:ForceandMotion

3) Astalledcarisbeingpushedupahillatconstantvelocitybythreepeople.Thenetforceonthecaris

A) zero.B) upthehillandequaltotheweightofthecar.C) downthehillandequaltotheweightofthecar.D) upthehillandgreaterthantheweightofthecar.E) downthehillandgreaterthantheweightofthecar.

Answer: AVar:1

4) A615Nstudentstandingonascaleinanelevatornoticesthatthescalereads645N.Fromthisinformation,thestudentknowsthattheelevatormustbemoving

A) downward.B) upward.C) Youcannottellifitismovingupwardordownward.

Answer: CVar:1

5) Acarisbeingtowedatconstantvelocityonahorizontalroadusingahorizontalchain.Thetensioninthechainmustbeequaltotheweightofthecarinordertomaintainconstantvelocity.

A) TrueB) False

Answer: BVar:1

6) Youarestandinginamovingbus,facingforward,andyousuddenlyfallforwardasthebuscomestoanimmediatestop.Theforceactingonyouthatcausesyoutofallforwardis

A) theforceofgravity.B) thenormalforceduetoyourcontactwiththefloorofthebus.C) theforceduetostaticfrictionbetweenyouandthefloorofthebus.D) theforceduetokineticfrictionbetweenyouandthefloorofthebus.E) Noforceswereactingonyoutocauseyoutofall.

Answer: EVar:1



7) Whichoneofthefollowingfree-bodydiagramsbestrepresentsthefree-bodydiagram,withcorrectrelativeforcemagnitudes,ofapersoninanelevatorthatistravelingupwardwithanunchangingvelocity? F fistheforceoftheflooronthepersonand Fgistheforceofgravityontheperson.

A)

B)

C)

D)

E)

Answer: BVar:1



8) Whichoneofthefollowingfree-bodydiagramsbestrepresentsthefree-bodydiagram,withcorrectrelativeforcemagnitudes,ofapersoninanelevatorthatistravelingupwardbutisgraduallyslowingdownatarateof9m/s2?F fistheforceoftheflooronthepersonand Fgistheforceofgravityontheperson.

A)

B)

C)

D)

E)

Answer: BVar:1

9) Acrateisslidingdownaninclinedrampataconstantspeedof0.55m/s.Thevectorsumofalltheforcesactingonthiscratemustpointdowntheramp.

A) TrueB) False

Answer: BVar:1



10) Awomanisstrainingtoliftalargecrate,withoutsuccessbecauseitistooheavy.Wedenotetheforcesonthecrateasfollows:Pistheupwardforcethewomanexertsonthecrate,Cistheverticalcontactforceexertedonthecratebythefloor,andWistheweightofthecrate.Howarethemagnitudesoftheseforcesrelatedwhilethewomanistryingunsuccessfullytoliftthecrate?

A) P+C=WB) P+CWD) P=C

Answer: AVar:1

11) Supposetheforceoftheairdragonanobjectisproportionaltothespeedoftheobjectandinthedirectionoppositetheobjectsvelocity.Ifyouthrowanobjectupward,themagnitudeofitsaccelerationisgreatest

A) rightaftertheobjectisreleased.B) atthetopofitstrajectory.C) Theaccelerationoftheobjectisthesamethroughouttheentiretrajectory.

Answer: AVar:1

12) Anobjectismovingforwardwithaconstantvelocity.WhichstatementaboutthisobjectMUSTbetrue?

A) Thenetforceontheobjectiszero.B) Thenetforceontheobjectisintheforwarddirection.C) Noforcesareactingontheobject.D) Theaccelerationoftheobjectisintheforwarddirection.

Answer: AVar:1

13) Supposeyouareplayinghockeyonanewageicesurfaceforwhichthereisnofrictionbetweentheiceandthehockeypuck.Youwindupandhitthepuckashardasyoucan.Afterthepucklosescontactwithyourstick,thepuckwill

A) starttoslowdown.B) notslowdownorspeedup.C) speedupalittle,andthenslowdown.D) speedupalittle,andthenmoveataconstantspeed.

Answer: BVar:1



14) Aballistossedverticallyupward.Whenitreachesitshighestpoint(beforefallingbackdownward)

A) thevelocityiszero,theaccelerationisdirecteddownward,andtheforceofgravityactingontheballisdirecteddownward.

B) thevelocityiszero,theaccelerationiszero,andtheforceofgravityactingontheballiszero.

C) thevelocityiszero,theaccelerationiszero,andtheforceofgravityactingontheballisdirecteddownward.

D) thevelocityandaccelerationreversedirection,buttheforceofgravityontheballremainsdownward.

E) thevelocity,acceleration,andtheforceofgravityontheballallreversedirection.Answer: AVar:1

15) Adogisstandinginthebedofapickuptruck.Thebediscoatedwithice,causingtheforceoffrictionbetweenthedogandthetrucktobezero.Thetruckisinitiallyatrest,andthenacceleratestotheright,movingalongaflatroad.Asseenfromastationaryobserver(watchingthetruckmovetotheright),thedog

A) doesnotmoveleftorright,butthebackofthetruckmovestowardsthedog.B) movestotheright,butnotasquicklyasthetruckismovingtotheright,causingitto

slidetowardsthebackofthetruck.C) movestotherightatthesamerateasthetruck,soitdoesntslide.D) movestotheleft,asthetruckmovestotheright,causingthedogtoslidetowardsthe

backofthetruck.Answer: AVar:1

16) Youareseatedinabusandnoticethatahandstrapthatishangingfromtheceilinghangsawayfromtheverticalinthebackwarddirection.Fromthisobservation,youcanconcludethat

A) thevelocityofthebusisforward.B) thevelocityofthebusisbackward.C) Youcannotconcludeanythingaboutthedirectionofthevelocityofthebus.

Answer: CVar:1

5.2 Problems

1) Ifa5.0kgboxispulledsimultaneouslybya10.0Nforceanda5.0Nforce,thenitsaccelerationmustbe

A) 3.0m/s2.B) 2.2m/s2.C) 1.0m/s2.D) Wecannottellfromtheinformationgiven.

Answer: DVar:1



2) Thefigureshowsanacceleration-versus-forcegraphforthreeobjectspulledbyrubberbands.Themassofobject2is36kg.Whatarethemassesofobjects1and3?

A) 14kgand90kgB) 72kgand18kgC) 90kgand18kgD) 14kgand72kg

Answer: AVar:50+

3) A7.0-kgobjectisactedonbytwoforces.Oneoftheforcesis10.0Nactingtowardtheeast.Whichofthefollowingforcesistheotherforceiftheaccelerationoftheobjectis1.0m/s2towardtheeast?

A) 6.0NeastB) 3.0NwestC) 12NeastD) 9.0NwestE) 7.0Nwest

Answer: BVar:1

4) An1100-kgcartravelingat27.0m/sstartstoslowdownandcomestoacompletestopin578m.Whatisthemagnitudeoftheaveragebrakingforceactingonthecar?

A) 690NB) 550NC) 410ND) 340N

Answer: AVar:1



5) Onitsown,acertaintow-truckhasamaximumaccelerationof3.0m/s2.Whatwouldbethemaximumaccelerationwhenthistruckwastowingabusoftwiceitsownmass?

A) 2.5m/s2B) 2.0m/s2C) 1.5m/s2D) 1.0m/s2

Answer: DVar:1

6) Achildonasledstartsfromrestatthetopofa15slope.Ifthetriptothebottomtakes 15.2 showlongistheslope?Assumethatfrictionalforcesmaybeneglected.

A) 293mB) 586mC) 1130mD) 147m

Answer: AVar:50+

7) Thefigureshowstwoforcesactingatrightanglesonanobject.Theyhavemagnitudes F1 = 6.3NandF2=2.1N.Whatthirdforcewillcausetheobjecttobeinequilibrium(accelerationequalszero)?

A) 6.6Nat162counterclockwisefrom F1B) 6.6Nat108counterclockwisefrom F1C) 4.2Nat162counterclockwisefrom F1D) 4.2Nat108counterclockwisefromF1

Answer: AVar:24



8) Thefigureshowstwoforces,eachofmagnitude4.6 N,actingonanobject.Theanglebetweentheseforcesis40,andtheymakeequalanglesaboveandbelowthehorizontal.Whatthirdforcewillcausetheobjecttobeinequilibrium(accelerationequalszero)?

A) 8.6NpointingtotherightB) 7.0NpointingtotherightC) 4.3NpointingtotherightD) 3.5Npointingtotheright

Answer: AVar:50+

9) Anobjectweighing4.00NfallsfromrestsubjecttoafrictionaldragforcegivenbyFdrag =bv2,wherevisthespeedoftheobjectandb=3.00Ns2/m2.Whatterminalspeedwillthisobjectapproach?


Answer: CVar:1

10) Thefigureshowsagraphoftheaccelerationofa125-gobjectasafunctionofthenetforceactingonit.WhatistheaccelerationatpointsAandB?

Answer: A:16m/s2,B:4.0m/s2Var:1



11) Thefigureshowsagraphoftheaccelerationofanobjectasafunctionofthenetforceactingonit.Themassofthisobject,ingrams,isclosestto

A) 130.B) 11.C) 89.D) 8000.

Answer: AVar:1

12) Twoforcesactona55-kgobject.Oneforcehasmagnitude65Ndirected59clockwisefromthepositivex-axis,andtheotherhasamagnitude35Nat32clockwisefromthepositivey-axis.Whatisthemagnitudeofthisobjectsacceleration?

A) 1.1m/s2B) 1.3m/s2C) 1.5m/s2D) 1.7m/s2

Answer: AVar:46



13) Thefigureshowstwoforcesactingonanobject,withmagnitudesF1 = 78NandF2=26N.Whatthirdforcewillcausetheobjecttobeinequilibrium(accelerationequalszero)?

A) 52NpointingdownB) 52NpointingupC) 82NpointingdownD) 82Npointingup

Answer: AVar:23

14) Thegraphinthefigureshowsthex componentoftheaccelerationofa2.4-kgobjectasafunctionoftime(inms).

(a)Atwhattime(s)doesthexcomponentofthenetforceontheobjectreachitsmaximummagnitude,andwhatisthatmaximummagnitude?(b)Whatisthexcomponentofthenetforceontheobjectattimet=0.0msandatt=4.0ms?Answer: (a)At3.0ms,48N(b)12N,-24NVar:1



15) Thegraphinthefigureshowsthenetforceactingona3.0-kgobjectasafunctionoftime.

(a)Whatistheaccelerationofthisobjectattime t=2.0s?(b)Draw,toscale,agraphoftheaccelerationofthisobjectasafunctionoftimeovertheranget=0.00stot=7.0s.Answer: (a)2.0m/s2

(b)Theacceleration-timegraphlooksthesameastheforce-timegraphexceptontheverticalaxisthenumbers(startingat2.0)arereplacedby0.67,1.3,2.0,2.7,3.3,and4.0.

Var:1


Chapter6 DynamicsI:MotionAlongaLine

6.1 ConceptualQuestions1) Aboxofmassmispulledwithaconstantaccelerationa alongahorizontalfrictionlessfloorby

awirethatmakesanangleof15abovethehorizontal.IfTisthetensioninthiswire,thenA) T=ma.B) T>ma.C) T

Chapter6:DynamicsI:MotionAlongaLine

3) Afishweighing16Nisweighedusingtwospringscales,eachofnegligibleweight,asshowninthefigure.Whatwillbethereadingsofthescales?

A) Thebottomscalewillread16N,andthetopscalewillreadzero.B) Eachscalewillread16N.C) Thetopscalewillread16N,andthebottomscalewillreadzero.D) Thescaleswillhavedifferentreadings,butthesumofthetworeadingswillbe16N.E) Eachscalewillread8N.

Answer: BVar:1

4) Twoobjectshavemassesmand5m,respectively.Theybothareplacedsidebysideonafrictionlessinclinedplaneandallowedtoslidedownfromrest.

A) Ittakesthelighterobject5timeslongertoreachthebottomoftheinclinethantheheavierobject.

B) Ittakesthelighterobject10timeslongertoreachthebottomoftheinclinethantheheavierobject.

C) Ittakestheheavierobject5timeslongertoreachthebottomoftheinclinethanthelighterobject.

D) Ittakestheheavierobject10timeslongertoreachthebottomoftheinclinethanthelighterobject.

E) Thetwoobjectsreachthebottomoftheinclineatthesametime.Answer: EVar:1

5) Aboxslidesdownafrictionlessplaneinclinedatanangle abovethehorizontal.Thegravitationalforceontheboxisdirected

A) paralleltotheplaneinthesamedirectionasthemovementofthebox.B) paralleltotheplaneintheoppositedirectionasthemovementofthebox.C) perpendiculartotheplane.D) vertically.E) atananglebelowtheinclinedplane.

Answer: DVar:1



6) Abrickisrestingonaroughinclineasshowninthefigure.Thefrictionforceactingonthebrick,alongtheincline,is

A) zero.B) equaltotheweightofthebrick.C) greaterthantheweightofthebrick.D) lessthantheweightofthebrick.

Answer: DVar:1

7) Whenaparachutistjumpsfromanairplane,heeventuallyreachesaconstantspeed,calledtheterminalspeed.Oncehehasreachedterminalspeed

A) hisaccelerationisequaltog.B) theforceofairdragonhimisequaltozero.C) theforceofairdragonhimisequaltog.D) hisspeedisequaltog.E) theforceofairdragonhimisequaltohisweight.

Answer: EVar:1

6.2 Problems

1) Ablockliesonahorizontalfrictionlesssurface.Ahorizontalforceof100Nisappliedtotheblockgivingrisetoanaccelerationof3.0m/s2.(a)Determinethemassoftheblock.(b)Calculatethedistancetheblockwilltraveliftheforceisappliedfor10s.(c)Calculatethespeedoftheblockaftertheforcehasbeenappliedfor10s.Answer: (a)33kg(b)150m(c)30m/sVar:1



2) Thefollowingfourforcesactona4.00kgobject:F1=300NeastF2=700NnorthF3=500NwestF4=600Nsouth

Whatistheaccelerationoftheobject?A) 224Ninadirection63.4northofwestB) 300Ninadirection63.4northofwestC) 300Ninadirection26.6northofwestD) 224Ninadirection26.6northofwestE) 2100Ninadirection26.6northofwest

Answer: DVar:1

3) A50.0-Nboxisslidingonaroughhorizontalfloor,andtheonlyhorizontalforceactingonitisfriction.Youobservethatatoneinstanttheboxisslidingtotherightat1.75m/sandthatitstopsin2.25swithuniformacceleration.Whatmagnitudeforcedoesfrictionexertonthisbox?

A) 3.97NB) 8.93NC) 38.9ND) 50.0NE) 490N

Answer: AVar:1

4) Ablockisonafrictionlesshorizontaltable,onearth.Thisblockacceleratesat1.9m/s2whena90Nhorizontalforceisappliedtoit.Theblockandtablearethensetuponthemoonwheretheaccelerationduetogravityis1.62m/s2.Whatistheweightoftheblockonthemoon?

A) 77NB) 67NC) 58ND) 48NE) 39N

Answer: AVar:50+



5) Ablockisonafrictionlesshorizontaltable,onearth.Thisblockacceleratesat3.6m/s2whena90Nhorizontalforceisappliedtoit.Theblockandtablearethensetuponthemoonwheretheaccelerationduetogravityis 1.62m/s2.Ahorizontalforceof45Nisappliedtotheblockwhenitisonthemoon.Whataccelerationdoesthisforceimparttotheblock?


Answer: AVar:50+

6) A10,000-kgrocketblastsofffromearthwithauniformupwardaccelerationof2.00m/s2andfeelsnoairresistance.Theupwardthrustforceitsenginesmustprovideduringthisaccelerationisclosestto

A) 20,000N.B) 980,000N.C) 118,000N.D) 78,000N.

Answer: CVar:1

7) 15) Bumpersoncarsarenotofmuchuseinacollision.Toseewhy,calculatetheaverageforceabumperwouldhavetoexertifitbroughta1200-kgcar(aso-calledcompactmodel)toarestin15cmwhenthecarhadaninitialspeedof2.0m/s(about4.5mph).(Bumpersarebuiltwithspringsthatcompresstoprovideastoppingforcewithout,hopefully,dentingthemetal.)

A) 1.8104NB) 1.6104NC) 5.4104ND) 6.5105NE) 3.2104N

Answer: BVar:1

8) Aboxofmass50kgisatrestonahorizontalfrictionlesssurface.AconstanthorizontalforceFthenactsontheboxandacceleratesittotheright.Itisobservedthatittakesthebox6.9secondstotravel28meters.Whatisthemagnitudeoftheforce?Answer: 59NVar:50+



9) A1000-kgcarisdrivingtowardthenorthalongastraighthorizontalroadataspeedof20.0m/s.Thedriverappliesthebrakesandthecarcomestoarestuniformlyinadistanceof 200 m.Whatarethemagnitudeanddirectionofthenetforceappliedtothecartobringittorest?

A) 1.00NnorthB) 10.0103NsouthC) 1.00103NsouthD) 1.00NsouthE) 100Nsouth

Answer: CVar:5

10) Aconstructionworkerpullsaboxoftoolsonasmoothhorizontalfloorwithaforceof100Ninadirectionof37.0abovethehorizontal.Themassoftheboxandthetoolsis40.0kg.(a)Drawafree-bodydiagramforthebox.(b)Calculatetheaccelerationofthebox.(c)Howharddoesthefloorpushuponthebox?Answer: (a)Theboxisactedonbytheforceofgravitywhichpointsdownwardtowardthe

centeroftheearth.Thenormalforceisdirectedtowardtheboxperpendiculartothesurfaceofthefloor.Thepullingforceisdirectedawayfromtheboxatanangle37.0degreesabovethehorizontal.(b)2.00m/s2(c)332N

Var:1

11) A60.0-kgpersonridesinanelevatorwhilestandingonascale.Thescalereads400N.Theaccelerationoftheelevatorisclosestto

A) 3.13m/s2downward.B) 6.67m/s2downward.C) zero.D) 9.80m/s2downward.E) 6.67m/s2upward.

Answer: AVar:1

12) A60.0-kgpersonridesinelevatorwhilestandingonascale.Theelevatoristravelingdownwardbutslowingdownatarateof2.00m/s2.Thereadingonthescaleisclosestto

A) 589N.B) 708N.C) 469N.D) 120N.E) 349N.

Answer: BVar:1



13) Ablockisgivenaverybriefpushupa20.0frictionlessinclinetogiveitaninitialspeedof12.0m/s.(a)Howfaralongthesurfaceoftheplanedoestheblockslidebeforecomingtorest?(b)Howmuchtimedoesittaketoreturntoitsstartingposition?Answer: (a)21.5m (b)7.16sVar:1

14) A50.0-kgboxrestsonahorizontalsurface.Thecoefficientofstaticfrictionbetweentheboxandthesurfaceis0.300andthecoefficientofkineticfrictionis0.200.Whatisthefrictionforceontheboxif(a)ahorizontal140-Npushisappliedtoit?(b)ahorizontal175-Npushisappliedtoit?Answer: (a)140N(b)98.0NVar:1

15) Inashuffleboardgame,thepuckslidesatotalof12m beforecomingtorest.Ifthecoefficientofkineticfrictionbetweenthepuckandthehorizontalboardis0.28,whatwastheinitialspeedofthepuck?

A) 8.1m/sB) 29.0m/sC) 6.5m/sD) 7.3m/s

Answer: AVar:31

16) Adriverina1000kgcartravelingat20 m/s slamsonthebrakesandskidstoastop.Ifthecoefficientoffrictionbetweenthetiresandthehorizontalroadis0.80,howlongwilltheskidmarksbe?

A) 26mB) 21mC) 33mD) 24m

Answer: AVar:27

17) Jasontakesofffromrestacrosslevelwateronhisjet-poweredskis.ThecombinedmassofJasonandhisskisis75kg(themassofthefuelisnegligible).Theskishaveathrustof200Nandacoefficientofkineticfrictiononwaterof0.10.Unfortunately,theskisrunoutoffuelafteronly48s.WhatisJasonstopspeed?

A) 81m/sB) 130m/sC) 13m/sD) 48m/s

Answer: AVar:50+



18) Jasontakesofffromrestacrosslevelwateronhisjet-poweredskis.ThecombinedmassofJasonandhisskisis75kg(themassofthefuelisnegligible).Theskishaveathrustof200Nandacoefficientofkineticfrictiononwaterof0.10.Unfortunately,theskisrunoutoffuelafteronly67s.HowfarhasJasontraveledwhenhefinallycoaststoastop?

A) 10,000mB) 7600mC) 5400mD) 3800m

Answer: AVar:50+

19) Kierantakesofffromrestdowna50mhigh,10 slopeonhisjet-poweredskis.Theskishaveathrustof280Nparalleltothesurfaceoftheslope.ThecombinedmassofskisandKieranis50kg(thefuelmassisnegligible).Kieransspeedatthebottomis40m/s.Whatisthecoefficientofkineticfrictionofhisskisonsnow?

A) 0.47B) 0.58C) 0.23D) 0.29

Answer: AVar:34

20) Afactoryrobotdropsa10kgcomputerontoaconveyorbeltrunningat3.1m/s.Thematerialsaresuchthats=0.50andk=0.30betweenthebeltandthecomputer.Howfaristhecomputerdraggedbeforeitisridingsmoothlyonthebelt?

A) 1.6mB) 0.98mC) 2.3mD) 3.0m

Answer: AVar:50+

21) Youpushdownwardonaboxatanangle25belowthehorizontalwithaforceof750N.Iftheboxisonaflathorizontalsurfaceforwhichthecoefficientofstaticfrictionwiththeboxis0.76,whatisthemassoftheheaviestboxyouwillbeabletomove?

A) 59kgB) 68kgC) 54kgD) 82kg

Answer: AVar:31



22) Apersonisdraggingapackingcrateofmass100kgacrossaroughhorizontalfloorwherethecoefficientofkineticfrictionis0.400.HeexertsaforceFsufficienttoacceleratethecrateforward.Atwhatangleabovehorizontalshouldhispullingforcebedirectedinordertoachievethemaximumacceleration?

A) 21.8B) 27.7C) 30D) 34.5E) 45

Answer: AVar:1

23) Apackingcraterestsonahorizontalsurface.Itisactedonbythreehorizontalforces:600Ntotheleft,200Ntotheright,andfriction.Theweightofthecrateis400N.Ifthe600-Nforceisremoved,theresultantforceactingonthecrateis

A) zero.B) 200Ntotheright.C) 200Ntotheleft.D) 400Ntotheleft.E) impossibletodeterminefromtheinformationgiven.

Answer: AVar:1

24) A6.0kgboxslidesdownaninclinedplanethatmakesanangleof39 withthehorizontal.Ifthecoefficientofkineticfrictionis0.19,atwhatratedoestheboxacceleratedowntheslope?

A) 4.7m/s2B) 5.2m/s2C) 5.5m/s2D) 6.2m/s2

Answer: AVar:50+

25) A200ghockeypuckislaunchedupametalrampthatisinclinedata30angle.Thecoefficientsofstaticandkineticfrictionbetweenthehockeypuckandthemetalrampares=0.40andk=0.30,respectively.Thepucksinitialspeedis63m/s.Whatverticalheightdoesthepuckreachaboveitsstartingpoint?

A) 130mB) 270mC) 200mD) 66m

Answer: AVar:50+



26) A200ghockeypuckislaunchedupametalrampthatisinclinedata30angle.Thecoefficientsofstaticandkineticfrictionbetweenthehockeypuckandthemetalrampares=0.40andk=0.30,respectively.Thepucksinitialspeedis4.9m/s.Whatspeeddoesithavewhenitslidesbackdowntoitsstartingpoint?

A) 2.8m/sB) 3.5m/sC) 4.2m/sD) 4.9m/s

Answer: AVar:50+

27) A4.00-kgblockrestsona30.0inclineasshowninthefigure.Ifthecoefficientofstaticfrictionbetweentheblockandtheinclineis0.700,whatmagnitudehorizontalforceFmustactontheblocktostartitmovinguptheincline?

A) 34.0NB) 51.1NC) 54.7ND) 84.0NE) 76.4N

Answer: DVar:1

28) Aboxisslidingdownaninclinetiltedata12.0 angleabovehorizontal.Theboxisinitiallyslidingdowntheinclineataspeedof1.50m/s.Thecoefficientofkineticfrictionbetweentheboxandtheinclineis0.340.Howfardoestheboxslidedowntheinclinebeforecomingtorest?

A) 0.920mB) 2.33mC) 1.78mD) 0.720mE) Theboxdoesnotstop.Itacceleratesdowntheplane.

Answer: AVar:5



29) A50.0-kgblockisbeingpulledupa16.0 slopebyaforceof250Nwhichisparalleltotheslope.Thecoefficientofkineticfrictionbetweentheblockandtheslopeis0.200.Whatisthemagnitudeoftheaccelerationoftheblock?


Answer: CVar:5

30) Inthefigure,aT-barskitowpullsaskierupahillinclinedat10abovehorizontal.TheskierstartsfromrestandispulledbyacablethatexertsatensionTatanangleof30abovethesurfaceofthehill.Themassoftheskieris60kgandtheeffectivecoefficientofkineticfrictionbetweentheskisandthesnowis0.100.Whatisthemaximumtensioninthecableifthestartingaccelerationisnottoexceed0.400g?

A) 246NB) 366NC) 431ND) 187NE) 535N

Answer: CVar:1

31) A250-kgcrateisonaroughramp,inclinedat30abovethehorizontal.Thecoefficientofkineticfrictionbetweenthecrateandrampis0.22.Ahorizontalforceof5000Nisappliedtothecrate,pushingituptheramp.Whatistheaccelerationofthecrate?

A) 8.4m/s2B) 10m/s2C) 12m/s2D) 13m/s2E) 3.4m/s2

Answer: AVar:1



32) Atrafficlightweighing100Nissupportedbytworopesasshowninthefigure.Thetensionsintheropesareclosestto

A) 50N.B) 56N.C) 63N.D) 66N.E) 83N.

Answer: EVar:1

33) Inthefigure,ablockofmassM hangsatrest.Theropethatisfastenedtothewallishorizontalandhasatensionoff52N.Theropethatisfastenedtotheceilinghasatensionof91N,andmakesananglewiththeceiling.Whatistheangle?

A) 55B) 35C) 30D) 63E) 45

Answer: AVar:50+



34) Themagnitudeofthedragforceofairresistanceonacertain20.0-kgobjectisproportionaltoitsspeed.Iftheobjecthasaterminalspeed80.0m/s,whatisthemagnitudeofthedragforceontheobjectwhenitisfallingwithaspeed30.0m/s?

A) 196NB) 7.50NC) 15.0ND) 73.5NE) 42.7N

Answer: DVar:1

35) A30.0-kgobjectexperiencesadragforceduetoairresistancewithamagnitudeproportionaltothesquareofitsspeed.Theobjectfallswithanaccelerationof4.00m/s2downwardwhenitisfallingdownwardat70.0m/s.Whatisitsterminalspeed?

A) 110m/sB) 157m/sC) 91.0m/sD) 172m/sE) 108m/s

Answer: CVar:1

36) Ashipisbeingpulledthroughaharboratconstantvelocitybytwotugboatsasshowninthefigure.Thelinesattachedtothetwotugboatshavethesametensionof200,000N.Eachlinemakesanangleof28.0withthedirectiontheshipisbeingtowed.Whatisthemagnitudeofthedragforceduetothewaterontheship?

A) 177105NB) 1.88105NC) 93.9104ND) zeroE) 3.53105N

Answer: EVar:1



37) A1.20-kgballishangingfromtheendofarope.Theropehangsatanangle25.0fromtheverticalwhena15.0m/shorizontalwindisblowing.Ifthewindsforceontheropeisnegligible,whatdragforcedoesthewindexertontheball?

A) 32.3NB) 24.1NC) 3.68ND) 5.48NE) 11.8N

Answer: DVar:1

38) An80.0-kgobjectisfallingandexperiencesadragforceduetoairresistance.Themagnitudeofthisdragforcedependsonitsspeed,v,andobeystheequationFdrag=(12.0Ns/m)v+(4.00Ns2/m2)v2.Whatistheterminalspeedofthisobject?


Answer: DVar:1

39) Anobjectweighing4.00NfallsfromrestsubjecttoafrictionaldragforcegivenbyFdrag =bv2,wherevisthespeedoftheobjectandb=3.00Ns2/m2.Whatterminalspeedwillthisobjectapproach?


Answer: CVar:1


Chapter7 NewtonsThirdLaw

7.1 ConceptualQuestions1) Youswingabatandhitaheavyboxwithaforceof1500N.Theforcetheboxexertsonthebat

isA) exactly1500Nonlyiftheboxdoesnotmove.B) exactly1500Nwhetherornottheboxmoves.C) greaterthan1500Niftheboxmoves.D)

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