Tarea 5_ Aplicaciones de Newton
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 1/25
Tarea5:AplicacionesdeNewtonDue:8:00pmonFriday,June19,2015
Youwillreceivenocreditforitemsyoucompleteaftertheassignmentisdue.GradingPolicy
Item1
Threesledsarebeingpulledhorizontallyonfrictionlesshorizontaliceusinghorizontalropes.Thepullisofmagnitude180 .
PartA
Findtheaccelerationofthesystem.
Expressyouranswerwiththeappropriateunits.
ANSWER:
PartB
FindthetensioninropeA.
Expressyouranswerwiththeappropriateunits.
ANSWER:
PartC
FindthetensioninropeB.
Expressyouranswerwiththeappropriateunits.
ANSWER:
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=
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18/6/2015 Tarea 5: Aplicaciones de Newton
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Item2
Oneproblemforhumanslivinginouterspaceisthattheyareapparentlyweightless.Onewayaroundthisproblemistodesignaspacestationthatspinsaboutitscenterataconstantrate.Thiscreates"artificialgravity"attheoutsiderimofthestation.
PartA
Ifthediameterofthespacestationis840 ,howmanyrevolutionsperminuteareneededforthe"artificialgravity"accelerationtobe ?
ANSWER:
PartB
IfthespacestationisawaitingareafortravelersgoingtoMars,itmightbedesirabletosimulatetheaccelerationduetogravityontheMartiansurface .Howmanyrevolutionsperminuteareneededinthiscase?
ANSWER:
Item3
Asmallcarwithmass0.720 travelsatconstantspeedontheinsideofatrackthatisaverticalcirclewithradius5.00thefollowingfigure.
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 3/25
PartA
Ifthenormalforceexertedbythetrackonthecarwhenitisatthetopofthetrack(point )is6.00 ,whatisthenormalforceonthecarwhenitisatthebottomofthetrack(point )?
Expressyouranswerwiththeappropriateunits.
ANSWER:
Item4
First,launchthevideobelow.Youwillbeaskedtouseyourknowledgeofphysicstopredicttheoutcomeofanexperiment.Then,closethevideowindowandanswerthequestionsatright.Youcanwatchthevideoagainatanypoint.
PartA
Considerthevideodemonstrationthatyoujustwatched.Whichofthefollowingchangeswouldmakeitmorelikelyfortheballtohitboththewhitecanandthegreencan?
Youdidnotopenhintsforthispart.
ANSWER:
Item5
/
=
Rolltheballfaster.Useaballthatisheavierthantheoriginalball.Useaballthatislighterthantheoriginalball,butstillheavierthananemptycan.Rolltheballslower.Noneoftheabove
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18/6/2015 Tarea 5: Aplicaciones de Newton
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Ablockliesonaplaneraisedanangle fromthehorizontal.Threeforcesactupontheblock: ,theforceofgravity,thenormalforceand ,theforceoffriction.Thecoefficientoffrictionislargeenoughtopreventtheblockfrom
sliding.
PartA
Considercoordinatesystema,withthexaxisalongtheplane.Whichforcesliealongtheaxes?
ANSWER:
PartB
Whichforcesliealongtheaxesofthecoordinatesystemb,inwhichtheyaxisisvertical?
ANSWER:
J
X
O
G
only
only
only
and
and
and
and and
G
O
X
G
O
G
X
O
X
G
O
X
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 5/25
Usuallythebestadviceistochooseacoordinatesystemsothattheaccelerationofthesystemisdirectlyalongoneofthecoordinateaxes.Ifthesystemisn'taccelerating,thenyouarebetteroffchoosingthecoordinatesystemwiththemostvectorsalongthecoordinateaxes.Butnowyouaregoingtoignorethatadvice.Youwillfindthenormalforce, ,usingverticalcoordinatesystemb.Inthesecoordinatesyouwillfindthemagnitude appearinginboththexandyequations,eachmultipliedbyatrigonometricfunction.
PartC
Becausetheblockisnotmoving,thesumoftheycomponentsoftheforcesactingontheblockmustbezero.Findanexpressionforthesumoftheycomponentsoftheforcesactingontheblock,usingcoordinatesystemb.
Expressyouranswerintermsofsomeorallofthevariables , , ,and .
Youdidnotopenhintsforthispart.
ANSWER:
PartD
Becausetheblockisnotmoving,thesumofthexcomponentsoftheforcesactingontheblockmustbezero.Findanexpressionforthesumofthexcomponentsoftheforcesactingontheblock,usingcoordinatesystemb.
Expressyouranswerintermsofsomeorallofthevariables , , ,and .
Youdidnotopenhintsforthispart.
ANSWER:
only
only
only
and
and
and
and and
G
O
X
G
O
G
X
O
X
G
O
X
O
O
O
G
X
J
= 5
O
G
X
J
= 4
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 6/25
PartE
Tofindthemagnitudeofthenormalforce,youmustexpress intermsof since isanunknown.Usingtheequationsyoufoundinthetwopreviousparts,findanexpressionfor involving and butnot .
Youdidnotopenhintsforthispart.
ANSWER:
Item6
Aloudspeakerofmass25.0 issuspendedadistanceof =1.60 belowtheceilingbytwocablesthatmakeequalangleswiththeceiling.Eachcablehasalengthof =3.90 .
PartA
Whatisthetension ineachofthecables?
Use9.80 forthemagnitudeoftheaccelerationduetogravity.
Youdidnotopenhintsforthispart.
ANSWER:
Item7
O
X
G
O
X
J
G
=O
LH $ N
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 7/25
LearningGoal:
Tounderstandhowtheforcesexertedonanobjectonaninclinedplaneaffecttheobjectsmotion.
Forthistutorial,usethePhETsimulationTheRamp.Thissimulationallowsyoutoplaceavarietyofobjectsonaninclinedrampandlookattheresultingforcesandmotion.
Startthesimulation.Whenyouclickthesimulationlink,youmaybeaskedwhethertorun,open,orsavethefile.Choosetorunoropenit.SelectanobjecttoplaceontherampbyclickingonanyobjectundertheChooseObjectsectionoftherightpanel.Tochangetherampangle,youcanadjusttheRampAnglesliderbarintherightpaneloryoucanclickontherampanddragitupordown.Toturnofffriction,youcanclickontheFrictionlessoptionthatisabovethePositionsetting.YoucanhavethepersonpushingontheobjectbysettinganAppliedForcethatisnonzero(youcantypeinavalueintheAppliedForceboxontheleft,dragthebigverticalsliderbartotheleftoftheparallelforcegraph,oryoucanclickanddragontheobject).Whilethesimulationisrunning,agraphshowstheparallelforces(i.e.,thecomponentsoftheforcesalongtheramp)asafunctionoftime.
Feelfreetoplayaroundwiththesimulation.Whenyouaredone,clickResetbeforebeginningPartA.
PartA
Thefirstthingyouwillinvestigateisstaticfriction.Theforceofstaticfrictionistheparallelforceexertedonastationaryobjectbytheramp.Thisforceisalwaysdirectedoppositethedirectiontheobjectwouldslideiftherewerenofriction.Selectthecrateastheobjectfortheramp.Then,slowlyincreasetherampangle.Theindividualforcesactingonthecrateareshown.Theylllooksomethinglikethis:
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 8/25
Watchwhathappenstotheforceoffriction(theredvectorinthepictureortheredplotinthegraph)beforethecratestartstoslidedowntheramp.
Astherampangleincreases,theforceofstaticfriction
ANSWER:
PartB
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartC
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartD
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
increases.remainsthesame.decreases.
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18/6/2015 Tarea 5: Aplicaciones de Newton
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PartE
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartF
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartG
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartH
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PhETInteractiveSimulationsUniversityofColoradohttp://phet.colorado.edu
Item8
LearningGoal:
Tointroducecontactforces(normalandfrictionforces)andtounderstandthat,exceptforfrictionforcesundercertaincircumstances,theseforcesmustbedeterminedfrom:netForce=ma.
Twosolidobjectscannotoccupythesamespaceatthesametime.Indeed,whentheobjectstouch,theyexertrepulsivenormalforcesoneachother,aswellasfrictionalforcesthatresisttheirslippingrelativetoeachother.Thesecontactforcesarisefromacomplexinterplaybetweentheelectrostaticforcesbetweentheelectronsandionsintheobjectsandthelawsofquantummechanics.Astwosurfacesarepushedtogethertheseforcesincreaseexponentiallyoveranatomicdistancescale,easilybecomingstrongenoughtodistortthebulkmaterialintheobjectsiftheyapproachtooclose.Ineverydayexperience,contactforcesarelimitedbythedeformationoraccelerationoftheobjects,ratherthanbythefundamentalinteratomicforces.Hence,wecanconcludethefollowing:Themagnitudeofcontactforcesisdeterminedby ,thatis,bytheotherforceson,andaccelerationof,thecontactingbodies.Theonlyexceptionisthatthefrictionalforcescannotexceed (althoughtheycanbesmallerthanthisorevenzero).
Normalandfrictionforces
Twotypesofcontactforcesoperateintypicalmechanicsproblems,thenormalandfrictionalforces,usuallydesignatedby and (or ,orsomethingsimilar)respectively.Thesearethecomponentsoftheoverallcontactforce:perpendiculartoand paralleltotheplaneofcontact.
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 10/25
Kineticfrictionwhensurfacesslide
Whenonesurfaceisslidingpasttheother,experimentsshowthreethingsaboutthefrictionforce(denoted ):
1. Thefrictionalforceopposestherelativemotionatthepointofcontact,2. isproportionaltothenormalforce,and3. theratioofthemagnitudeofthefrictionalforcetothatofthenormalforceisfairlyconstantoverawide
rangeofspeeds.
Theconstantofproportionalityiscalledthecoefficientofkineticfriction,oftendesignated .Aslongastheslidingcontinues,thefrictionalforceisthen
(validwhenthesurfacesslidebyeachother).
Staticfrictionwhensurfacesdon'tslide
Whenthereisnorelativemotionofthesurfaces,thefrictionalforcecanassumeanyvaluefromzerouptoamaximum,where isthecoefficientofstaticfriction.Invariably, islargerthan ,inagreementwiththeobservationthat
whenaforceislargeenoughthatsomethingbreakslooseandstartstoslide,itoftenaccelerates.
Thefrictionalforceforsurfaceswithnorelativemotionistherefore
(validwhenthecontactingsurfaceshavenorelativemotion).
Theactualmagnitudeanddirectionofthestaticfrictionforcearesuchthatit(togetherwithotherforcesontheobject)causestheobjecttoremainmotionlesswithrespecttothecontactingsurfaceaslongasthestaticfrictionforcerequireddoesnotexceed .Theequation isvalidonlywhenthesurfacesareonthevergeofsliding.
PartA
Whentwoobjectsslidebyoneanother,whichofthefollowingstatementsabouttheforceoffrictionbetweenthem,istrue?
ANSWER:
PartB
Whentwoobjectsareincontactwithnorelativemotion,whichofthefollowingstatementsaboutthefrictionalforcebetweenthem,istrue?
ANSWER:
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L
N
L
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L
N
L
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N
T
N
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L
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*N
T
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N
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Thefrictionalforceisalwaysequalto .Thefrictionalforceisalwayslessthan .Thefrictionalforceisdeterminedbyotherforcesontheobjectssoitcanbeeitherequaltoorlessthan
.
*N
L
*N
L
*N
L
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18/6/2015 Tarea 5: Aplicaciones de Newton
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PartC
Whenaboardwithaboxonitisslowlytiltedtolargerandlargerangle,commonexperienceshowsthattheboxwillatsomepoint"breakloose"andstarttoacceleratedowntheboard.
Theboxbeginstoslideoncethecomponentofgravityactingparalleltotheboard justbeginstoexceedsthemaximumforceofstaticfriction.Whichofthefollowingisthemostgeneralexplanationforwhytheboxacceleratesdowntheboard?
ANSWER:
PartD
Consideraprobleminwhichacarofmass isonaroadtiltedatanangle .Thenormalforce
Selectthebestanswer.
ANSWER:
Item9
A8.40 blockofice,releasedfromrestatthetopofa1.46 longfrictionlessramp,slidesdownhill,reachingaspeedof2.63 atthebottom.
PartA
Thefrictionalforceisalwaysequalto .Thefrictionalforceisalwayslessthan .Thefrictionalforceisdeterminedbyotherforcesontheobjectssoitcanbeeitherequaltoorlessthan
.
*N
T
*N
T
*N
T
H
Theforceofkineticfrictionissmallerthanthatofmaximumstaticfriction,but remainsthesame.Oncetheboxismoving, issmallerthantheforceofmaximumstaticfrictionbutlargerthantheforceofkineticfriction.Oncetheboxismoving, islargerthantheforceofmaximumstaticfriction.Whentheboxisstationary, equalstheforceofstaticfriction,butoncetheboxstartsmoving,theslidingreducesthenormalforce,whichinturnreducesthefriction.
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 12/25
Whatistheanglebetweentherampandthehorizontal?
ANSWER:
PartB
Whatwouldbethespeedoftheiceatthebottomifthemotionwereopposedbyaconstantfrictionforceof10.3paralleltothesurfaceoftheramp?
ANSWER:
Item10
LearningGoal:
TopracticeProblemSolvingStrategy5.1Newton'sFirstLaw:EquilibriumofaParticle.
Supposethatyouwanttomoveaheavyboxwithmass30.0 acrossacarpetedfloor.Youtrypushinghardononeoftheedges,buttheboxdoesnotmove.Supposethatyouarepushingagainsttheboxfromanangle30.0 abovehorizontalwithaforceofmagnitude240 .Whatisthemagnitudeofthefrictionforceactingonthebox?
ProblemSolvingStrategy:Newton'sfirstlaw:Equilibriumofaparticle
IDENTIFYtherelevantconcepts:YoumustuseNewtonsfirstlawforanyproblemthatinvolvesforcesactingonabodyinequilibrium.Iftheprobleminvolvesmorethanonebodyandthebodiesinteractwitheachother,youllalsoneedtouseNewtonsthirdlaw.Becertainthatyouidentifythetargetvariable(s).
SETUPtheproblemusingthefollowingsteps:
1. Drawasimplesketchofthephysicalsituation,showingdimensionsandangles.2. Drawafreebodydiagramforeachbodythatisinequilibrium.Inyourfreebodydiagram,includeonlyone
body.3. Onyourfreebodydiagram,drawaforcevectorforeachinteraction,andlabeleachforcewithasymbol
representingthemagnitudeoftheforce.Ifyouknowtheangleatwhichaforceisdirected,drawtheangleaccurately.
4. Donotshowinthefreebodydiagramanyforcesexertedbythebodyonanyotherbody.Includeonlyforcesthatactonthebody.
5. Chooseasetofcoordinateaxes,andincludetheminyourfreebodydiagram.(Ifthereismorethanonebodyintheproblem,chooseaxesforeachbodyseparately.)
EXECUTEthesolutionasfollows:
1. Findthecomponentsofeachforce.2. Setthealgebraicsumofallxcomponentsofforceequaltozero.Inaseparateequation,setthealgebraic
sumofallycomponentsequaltozero.3. Iftherearetwoormorebodies,repeatalloftheabovestepsforeachbody.Ifthebodiesinteractwitheach
other,useNewtonsthirdlawtorelatetheforcestheyexertoneachother.4. Makesurethatyouhaveasmanyindependentequationsasthenumberofunknownquantities.Then,
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 13/25
solvetheseequationstoobtainthetargetvariables.
EVALUATEyouranswer:Lookatyourresults,andaskwhethertheymakesense.Whentheresultisasymbolicexpressionorformula,trytocheckyourformulainspecialcasesforwhichyoucanguesswhattheresultsoughttobe.
IDENTIFYtherelevantconcepts
Sincetheboxsitsinafixedposition,itisinequilibriumandNewton'sfirstlawapplies.YouwillnotneedtouseNewton'sthirdlawtodeterminethemagnitudeofanyoftheforces.Thetargetvariableisthemagnitudeofthefrictionforce.
SETUPtheproblemusingthefollowingsteps
PartA
Theboxistheimportantobjectinthisproblem.Chooseacoordinatesystemthatwillsimplifyyourwork,andthendrawafreebodydiagramforthebox.Youshouldgenerallyalignthepositivexaxiswiththedirectioninwhichyourobjectofinterestismoving,orthedirectioninwhichitwouldmoveiftherewerenofriction.Ifthefiguredepictsthesituation,whichofthefollowingdescribesthecoordinatesystemthatyoushoulduse?
ANSWER:
PartB
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
EXECUTEthesolutionasfollows
Positivexaxistotheleft,positiveyaxisupwardPositivexaxistotheright,positiveyaxisupwardPositivexaxistotheleft,positiveyaxisdownwardPositivexaxistotheright,positiveyaxisdownward
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PartC
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
EVALUATEyouranswer
PartD
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
Item11
Asmallmetalcylinderrestsonacircularturntablethatisrotatingataconstantrate,asillustratedinthediagram.
PartA
Whichofthefollowingsetsofvectorsbestdescribesthevelocity,acceleration,andnetforceactingonthecylinderatthepointindicatedinthediagram?
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Youdidnotopenhintsforthispart.
ANSWER:
PartB
Let bethedistancebetweenthecylinderandthecenteroftheturntable.Nowassumethatthecylinderismovedtoanewlocation fromthecenteroftheturntable.Whichofthefollowingstatementsaccuratelydescribethemotionofthecylinderatthenewlocation?
Checkallthatapply.
Youdidnotopenhintsforthispart.
ANSWER:
abcde
Thespeedofthecylinderhasdecreased.Thespeedofthecylinderhasincreased.Themagnitudeoftheaccelerationofthecylinderhasdecreased.Themagnitudeoftheaccelerationofthecylinderhasincreased.Thespeedandtheaccelerationofthecylinderhavenotchanged.
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18/6/2015 Tarea 5: Aplicaciones de Newton
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Item12
Whenanobjectrestsonasurface,thereisalwaysaforceperpendiculartothesurfacewecallthisthenormalforce,denotedby .Thetwoquestionstotherightwillexplorethenormalforce.
PartA
Amanattemptstopickuphissuitcaseofweight bypullingstraightuponthehandle.However,heisunabletoliftthesuitcasefromthefloor.Whichstatementaboutthemagnitudeofthenormalforce actingonthesuitcaseistrueduringthetimethatthemanpullsupwardonthesuitcase?
Youdidnotopenhintsforthispart.
ANSWER:
PartB
Nowassumethatthemanofweight istiredanddecidestositonhissuitcase.Whichstatementaboutthemagnitudeofthenormalforce actingonthesuitcaseistrueduringthetimethatthemanissittingonthesuitcase?
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3
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Themagnitudeofthenormalforceisequaltothemagnitudeoftheweightofthesuitcase.Themagnitudeofthenormalforceisequaltothemagnitudeoftheweightofthesuitcaseminusthemagnitudeoftheforceofthepull.Themagnitudeofthenormalforceisequaltothesumofthemagnitudeoftheforceofthepullandthemagnitudeofthesuitcase'sweight.Themagnitudeofthenormalforceisgreaterthanthemagnitudeoftheweightofthesuitcase.
3
N
*
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18/6/2015 Tarea 5: Aplicaciones de Newton
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Youdidnotopenhintsforthispart.
ANSWER:
Item13
LearningGoal:
Tounderstandtherelationshipbetweenappliedforce,netforce,acceleration,andmassfor1dimensionalmotion.
Forthisproblem,usethePhETsimulationForcesin1DMotion.Thissimulationallowsyoutopushondifferentobjectswithacertainhorizontalforceandseetheresultingmotion.Youcancontrolthemassoftheobjectanditscoefficientoffriction.Whiletheobjectisbeingpushed,youcanseegraphsshowingtheforce,velocity,acceleration,and/orpositionasafunctionoftime.
Themagnitudeofthenormalforceisequaltothemagnitudeofthesuitcase'sweight.Themagnitudeofthenormalforceisequaltothemagnitudeofthesuitcase'sweightminusthemagnitudeoftheman'sweight.Themagnitudeofthenormalforceisequaltothesumofthemagnitudeoftheman'sweightandthemagnitudeofthesuitcase'sweight.Themagnitudeofthenormalforceislessthanthemagnitudeofthesuitcase'sweight.
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Startthesimulation.Whenyouclickthesimulationlink,youmaybeaskedwhethertorun,open,orsavethefile.Choosetorunoropenit.
ClickonGraphAppliedForceifthegraphshowingforcesisntalreadyvisible.Adjusttheappliedforcebymovingthesliderbar(whichistotheleftoftheforcegraph)upordown.Youcanalsoadjusttheappliedforcebyeithertypinginavalueinthedigitaldisplayordraggingtheobjecttotheleftorright,butitisdifficulttomaintainaconstantforcethisway.ClickGo,andwatchtheresultingmotion.Youcanchoosedifferentobjectsusingthemenuontherightsideofthewindow,andyoucanalsoturnfrictionofforon.
Feelfreetoplayaroundwiththesimulation.Whenyouaredone,clickClearandturnofffrictionpriortobeginningPartA.
PartA
Choosethe200 filecabinet.Settheappliedforceto400 (totheright).Besurefrictionisturnedoff.Whatisthenetforceactingonthefilecabinet?
ANSWER:
PartB
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
LH /
Themagnitudeofthenetforceisgreaterthan400 ,directeddownwardandtotheright.Themagnitudeofthenetforceislessthan400 ,directedtotheright.Thenetforceiszero.Themagnitudeofthenetforceis400 ,directedtotheright.Themagnitudeofthenetforceisgreaterthan400 ,directedupwardandtotheright.
/
/
/
/
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PartC
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartD
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartE
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartF
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartG
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartH
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PartI
Thisquestionwillbeshownafteryoucompletepreviousquestion(s).
PhETInteractiveSimulationsUniversityofColoradohttp://phet.colorado.edu
Item14
LH
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18/6/2015 Tarea 5: Aplicaciones de Newton
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Askydiverofmass80.0 (includingparachute)jumpsoffaplaneandbeginsherdescent.
Throughoutthisproblemuse9.80 forthemagnitudeoftheaccelerationduetogravity.
PartA
Atthebeginningofherfall,doestheskydiverhaveanacceleration?
Youdidnotopenhintsforthispart.
ANSWER:
PartB
Atsomepointduringherfreefall,theskydiverreachesherterminalspeed.Whatisthemagnitudeofthedragforceduetoairresistancethatactsontheskydiverwhenshehasreachedterminalspeed?
Expressyouranswerinnewtons.
Youdidnotopenhintsforthispart.
ANSWER:
PartC
Foranobjectfallingthroughairatahighspeed ,thedragforceactingonitduetoairresistancecanbeexpressedas
,
wherethecoefficient dependsontheshapeandsizeofthefallingobjectandonthedensityofair.Forahumanbody,thenumericalvaluefor isabout0.250 .
Usingthisvaluefor ,whatistheterminalspeed oftheskydiver?
Expressyouanswerinmeterspersecond.
Youdidnotopenhintsforthispart.
ANSWER:
LH
NT
Notheskydiverfallsatconstantspeed.Yesandheraccelerationisdirectedupward.Yesandheraccelerationisdirecteddownward.
ESBH
= ESBH
/
2
2
LHN
2
UFSNJOBM
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PartD
Whentheskydiverdescendstoacertainheightfromtheground,shedeploysherparachutetoensureasafelanding.(Usuallytheparachuteisdeployedwhentheskydiverreachesanaltitudeofabout900 3000 .)Immediatelyafterdeployingtheparachute,doestheskydiverhaveanonzeroacceleration?
Youdidnotopenhintsforthispart.
ANSWER:
PartE
Whentheparachuteisfullyopen,theeffectivedragcoefficientoftheskydiverplusparachuteincreasesto60.0.Whatisthedragforce actingontheskydiverimmediatelyaftershehasopenedtheparachute?
Expressyouranswerinnewtons.
Youdidnotopenhintsforthispart.
ANSWER:
PartF
Whatistheterminalspeed oftheskydiverwhentheparachuteisopened?
Expressyouranswerinmeterspersecond.
Youdidnotopenhintsforthispart.
ANSWER:
= 2UFSNJOBM
NT
N GU
Notheskydiverkeepsfallingatconstantspeed.Yesandheraccelerationisdirecteddownward.Yesandheraccelerationisdirectedupward.
LHN
ESBH
= ESBH
/
2
UFSNJOBM
= 2UFSNJOBM
NT
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18/6/2015 Tarea 5: Aplicaciones de Newton
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Item15
Asshowninthefigure,blockA(mass2.22 )restsonatabletop.Itisconnectedbyahorizontalcordpassingoveralight,frictionlesspulleytoahangingblockB(mass1.21 ).ThecoefficientofkineticfrictionbetweenblockAandthetabletopis0.201.
PartA
DrawthefreebodydiagramforblockA.
DrawtheforcevectorswiththeirtailsatthecenteroftheblockA.Thelocationandorientationofyourvectorswillbegraded.Theexactlengthofyourvectorswillnotbegradedbuttherelativelengthofonetotheotherwillbegraded.
ANSWER:
LH
LH
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PartB
DrawthefreebodydiagramforblockB.
DrawtheforcevectorswiththeirtailsatthecenteroftheblockB.Thelocationandorientationofyourvectorswillbegraded.Theexactlengthofyourvectorswillnotbegradedbuttherelativelengthofonetotheotherwillbegraded.
ANSWER:
PartC
Aftertheblocksarereleasedfromrest,findthespeedofeachblockaftermoving2.90 .
ANSWER:
PartD
Aftertheblocksarereleasedfromrest,findthetensioninthecord.
ANSWER:
DN
= 2 NT
= /
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 24/25
Item16
A1113 caranda2090 pickuptruckapproachacurveontheexpresswaythathasaradiusof212 .
PartA
Atwhatangleshouldthehighwayengineerbankthiscurvesothatvehiclestravelingat70.6 cansafelyrounditregardlessoftheconditionoftheirtires?
ANSWER:
PartB
Shouldtheheavytruckgoslowerthanthelightercar?
ANSWER:
PartC
Asthecarandtruckroundthecurveat70.6 ,findthenormalforceonthecartothehighwaysurface.
ANSWER:
PartD
Asthecarandtruckroundthecurveat70.6 ,findthenormalforceonthetrucktothehighwaysurface.
ANSWER:
Item17
Aboxwithmass10.0 movesonarampthatisinclinedatanangleof55.0 abovethehorizontal.Thecoefficientofkineticfrictionbetweentheboxandtherampsurfaceis =0.300.Choosethe axisalongthesurfaceoftherampandthe axisperpendiculartothesurface.
LH LH N
NJI
= ]
yesno
NJI
= DBS
/
NJI
= USVDL
/
LH
N
'
4
5
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18/6/2015 Tarea 5: Aplicaciones de Newton
https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3637684 25/25
PartA
Calculatethemagnitudeoftheaccelerationoftheboxifyoupushontheboxwithaconstantforce130.0 thatisparalleltotherampsurfaceanddirecteddowntheramp,movingtheboxdowntheramp.
Expressyouranswerwiththeappropriateunits.
ANSWER:
PartB
Calculatethemagnitudeoftheaccelerationoftheboxifyoupushontheboxwithaconstantforce130.0 thatisparalleltotherampsurfaceanddirecteduptheramp,movingtheboxuptheramp.
Expressyouranswerwiththeappropriateunits.
ANSWER:
ScoreSummary:Yourscoreonthisassignmentis0.0%.Youreceived0outofapossibletotalof100points.
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