introduction to masteringphysics

3/21/2015 IntroductiontoMasteringPhysics

https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=3443845 1/28

IntroductiontoMasteringPhysicsDue:11:59pmonFriday,January30,2015

Youwillreceivenocreditforitemsyoucompleteaftertheassignmentisdue.GradingPolicy

Amessagefromyourinstructor...

Thepurposeofthefollowingexercisesistofamiliarizeyouwiththesystemyouwillbeusingfortherestofyourcourse.Theseexercisesarenotintendedtoteachortestyourknowledgeofanyspecificsubjectmaterial.Therefore,youwillnotbepenalizedforusinghintsorsubmittingincorrectanswers.

Welcome!

Masteringpresentshomeworkitemsassignedbyyourinstructorandworkswithyoutoanswerthem.Homeworkitemstypicallyhaveanintroduction,possiblyfigures,andoneormorepartsforyoutoanswer.

Typeofhelpoffered

Masteringtellsyouimmediatelywhetherornotyouranswersarecorrect.Usually,youwillhavemultiplechancestoarriveatthecorrectanswer.Yourinstructorwilldeterminehowmanytriesyouhaveavailable.Inmanyitems,hintsareavailabletohelpyouifyougetstuck.Ifyoudon'tneedthehintstosolvetheproblem,youcanstillusethemforreviewlateron.Ifyousubmitanincorrectanswer,Masteringoftenrespondswithspecific,helpfulfeedback.Masteringisforgivingofmanytyposandformattingmistakes.Ifitcan'tfigureoutwhatyouentered,itwillletyouknowandgiveyouanotherchance.

TheseexerciseswerechosenspecificallytoleadyouthroughthekeyfeaturesofMasteringandarenotintendedtotestyourknowledgeofanyspecificsubjectmaterial.Therefore,onthisitemyouwillnotbepenalizedforusinghintsandsubmittingincorrectanswers.Infact,youshouldsubmitincorrectanswersandusethehintstoseewhathappens!

PartA

Howmanysquaresareinthis grid?Notethatthefigurelinkletsyouknowthatafiguregoesalongwiththispart.Thisfigureisavailabletotheleft.

EnteryouranswerasanumberintheboxbelowandthensubmityouranswerbyclickingSubmit.

2 2

Typesettingmath:100%



ANSWER:

CorrectWhatyouarereadingnowiscalleda"followupcomment."Thesecommentstypicallyoffermoreinformationorprovideaninterpretationoftheansweryoujustobtained.Beforeyoumoveontoaslightlymorechallengingquestion,haveaquicklookattheotherbuttonsavailablearoundtheanswerbox.

GiveUpallowsyoutocompletethequestionifyoucan'tsolveitonyourown.Yourinstructorcontrolswhetherornotthecorrectanswerisdisplayedtoyou.MyAnswersbringsupanewwindowthatlistsalloftheanswersyouhavesubmittedforthisquestion,alongwithanyhelpfulfeedbackyoureceivedforincorrectsubmissions.

Grading

SeethehelpfileavailablebyclickingtheHelplinkatthetoprightcorner,ifyouwanttoknowmoreabouthowgradingworksingeneral.Hereisthemostimportantinformationyou'llneed.

Youmustcompleteeveryparttogetcreditforanitem.Tocompleteapart,eitheranswerthemainpartquestioncorrectlyorclicktheGiveUpbutton.

Inagradedhomeworkitem,eachpartcountsequallytowardyourscoreontheoverallitem.Ifyougetfullcreditoneachpart,youwillreceivefullcreditfortheproblem.Youmayloseafractionofthecreditforapartwhenyousubmitanincorrectanswer.Whetheryoudolosecreditandhowmuchyoulosearesetby

Numberofsquares= 5



yourinstructor.However,youwon'tlosecreditformosttypesofformattingmistakesorforsubmittingablankanswer.

Asyoumightexpect,youwillreceivenocreditforapartifyouusetheGiveUpbutton.Ifyoujustcan'tfigureoutaquestion,thereisawaytogetpartialcreditbyusinghints,asthefollowingpartwillillustrate.

PartB

Whatisthemagicnumber?

Notethatthereisafigurealsoassociatedwiththispart.However,thefigureforPartAmaystillbevisibleontheleft.ToviewthefigureassociatedwithPartB,clickonthefigurelink.Anewfigureshouldappearontheleft.

Youcouldtrytoguessthemagicnumberbutyouwouldprobablyuseupallyourtriesbeforegettingtheanswer.NoticethenewHintsbuttonunderneaththeanswerboxforthisquestion.Clickingthisbuttonwillopenupalistofhintsthatwillguideyoutothecorrectnumber.

Hint1.Differenttypesofhintsandtheirimpactongrading

Noticethattherearethreehintsforthisquestion.Youarenotrequiredtouseallofthehintsortousetheminorder.Eachhinthasataglinethatdescribesitscontents.Basedonthetaglineyoucandecidewhetherornotaparticularhintwillbeusefultoyou.Therearetwokindsofhints.Somehints,suchasHint2below,justprovideyouwithinformation.Otherhints,suchasHint3below,giveyouanopportunitytoanswerasimplerquestionthatisrelatedtothemainquestionyouaresolving.Thesehintseitherhavequestionsinthetaglineortellyoutodosomething(e.g.,Find...,Determine...,Identify...,etc.).Therearetwowaysthatthistypeofhintcanhelpyou:

Answeringthesimplerquestiongivesyouachancetocheckthatyouareontherighttrack.Ifyoucorrectlyanswerthesimplerquestion,youwillreceivepartialcreditforthepartevenifyouareunabletoanswerthemainquestion.

Yourinstructormaychoosetogiveyouabonusfornotusinghintsortodeductasmallpenaltyforusinghints.Ifyouarestuck,usingthehintswillusuallyresultinahigherscorethansimplytryingtoguessbecauseyoumaylosefewerpointsforopeningahintthanforgettingtheanswertothemainquestionincorrect.ThereisamoredetailedexplanationofhowhintsaregradedinthehelpavailablebyclickingtheHelplinkatthetoprightcornerofyourscreeninthemainMasteringwindow.Inthisproblem,however,youwillnotloseanycreditforusingthehints.

Now,openupthesecondhintforsomehelpfindingthemagicnumber.



Hint2.Howtoapproachtheproblem

Althoughyoucouldtrytoguessthemagicnumberyouwouldmostlikelyexhaustyourtriesbeforegettingthecorrectanswer.Tohelpyou,themagicnumberis ,where isanumberbetween1and10.

Hint3.Whatis ?

Recallthattheprevioushintstatedthatthemagicnumberis ,where isanumberbetween1and10.Specifically isanevennumberbetween1and10.Trytoguessthevalueof .

Youmaysubmitasmanyguessesasyouneed.Entereachguessintotheanswerboxthatfollows.

ANSWER:

Allattemptsusedcorrectanswerdisplayed

Nowthatyouhavedetermined ,compute tofindthemagicnumber.

ANSWER:

Correct

Yourinstructormaychoosetogiveyouabonusfornotusinghintsortodeductasmallpenaltyforusinghints.Ifyouarestuck,usingthehintswillusuallyresultinahigherscorethansimplytryingtoguessbecauseyoumaylosefewerpointsforopeningahintthanforgettingtheanswertothemainquestionincorrect.Notethatyouareneverrequiredtousethehintsifyouwanttofigurethequestionoutonyourown,goahead!

Noticethatanewbutton,ReviewPart,appearswhenyoucorrectlyanswerapartwithhints.Thisbuttonallowsyoutoreviewallofthehintsforthatpart,evenifyoudidn'tneedthemtogettheanswer.Thisisausefulwaytoreviewthequestionwhenstudyingforatest.Youdonotloseanycreditforreviewingthehintsafteryouhaveansweredthequestion.Ifyoudidn'tlookatallofthehintswhileansweringthelastquestion,youshouldreadthroughthemnowforsomeimportantinformationabouthintsandhintgrading.

PartC

15 x x

x

15 x x xx

= 4x

x 15 4

magicnumber= 60



Multiplechoicequestionshaveaspecialgradingruledeterminedbyyourinstructor.Assumethatyourinstructorhasdecidedtogradethesequestionsinthefollowingway:Ifyousubmitanincorrectanswertoamultiplechoicequestionwith options,youwilllose ofthecreditforthatquestion.Justlikethesimilarmultiplechoicepenaltyonmoststandardizedtests,thisruleisnecessarytopreventrandomguessing.

Ifamultiplechoicequestionhasfiveanswerchoicesandyousubmitonewronganswerbeforegettingthequestioncorrect,howmuchcreditwillyouloseforthatpartofthequestion?

ANSWER:

CorrectYourinstructormaychoosenottodeduct ofthecreditforamultiplechoicequestionwith options.Toseehowyourinstructorisgradingyou,clickyourinstructor'sGradingPolicyonyourassignmentpage.

IfyouclickontheContinuebuttonbeforefinishingalltheParts,youwillseeamessageremindingyouthatyouneedtocompleteeachParttogetcredit.Ifyouhavecompletedtheitem,clickingContinuewilltakeyoutothenextitemontheAssignment.AtanytimeyoumayclickontheProvideFeedbacklinktoaccessasurveypagewithoutlosingyourwork.

Onceyouhavecompletedanitem,youmayaccessyourscorefromtheassignment.Yourscorewilldisplaybelowtheitemtitle.

IntroductiontoNumericAnswers

Thisexerciseisnotintendedtotestyourknowledgeofanyspecificsubjectmaterial.Therefore,onthisproblemyouwillnotbepenalizedforusinghintsorsubmittingincorrectanswers.

Overview

Whenanassignmentquestionrequiresthatyouenteranumericanswer,youwillseeananswerboxliketheoneillustratedhere.

n 1/(n 1)

100

50

33

25

20

%%%%%

1/(n 1) n



Toanswerthistypeofquestion,youwillneedtotypethenumericvaluefordistanceintherectanglebetweenthequantityyouaresolvingfor(distance)andtheunits(meters).Inadditiontotypingalphanumericvaluesfromyourkeyboard,youcanenternonnumericinformationbyusingeither

themenutabsabovetherectangularanswerbox(formoreinformationclick (Help)button)or

theequivalentkeystrokes.(click (Keyboardshortcuts)buttonforthelist)

Grading

Tolerance

Forgrading,yournumericanswersoften(butnotalways)canbewithinatolerancerangeoftheofficialanswer.Forexample,iftheanswertoanumericproblemwithatoleranceof2%were105,answersbetween103and107wouldbegradedascorrect.Ifyousubmitananswerthatisroundedtowithinthegradingtolerancebutisnottheexactanswer,youwillreceivefullcredit.Ifthisvalueisneededinfuturepartsusethefullprecisionvalueforsubsequentparts.

Significantfigures

Mostquestionswithnumericanswerswillrequireyouranswertobegiventoatleastthreedigitsorsignificantfigures.Youranswermaybegradedasincorrectifyouhavecalculatedcorrectlybutthenroundedyourfinalanswertotoofewdigits.Ifadifferentnumberofsignificantfiguresisrequired,thiswillbepartofthequestion'sanswerinstructions.Whenyouneedtodomultiplecalculationstogetananswer,usemoresignificantfiguresthanrequiredineachcalculationandroundattheendonly.Roundingtooearlycancauseyourfinalanswertobeoutsidethetolerancerange.

PartA

Formostanswers,youwillsimplyenteryournumericanswerdirectlyintothespaceprovidedtotherightoftheequalsign.Answerthefollowingquestionbytypingthenumericanswerintotheanswerbox.

Ifyouhaveagrossofitems,youhave144items.Ifyoubuyagrossofeggs,howmanydozeneggsdoyouhave?

Expressyouranswerindozens.Donotentertheunitstheyareprovidedtotherightoftheanswerbox.



Hint1.Howmanyitemsareinadozen?

Ifyouhaveadozenitems,howmanyitemsdoyouhave?

ANSWER:

ANSWER:

Correct

PartB

Whenenteringlargenumbersintheanswerbox,donotusecommas.Forexample,enter1276400forthenumber1,276,400.Donotenter1,276,400.Ifyouaccidentallyentercommas,youwillgetamessagethatyouranswerhasthewrongnumberofterms.Answerthefollowingquestionbytypingthenumericanswerintotheanswerbox.

Whatisthesumof9260and3240?

Expressyouranswernumericallytoatleastthreesignificantfigures.

Hint1.Howtocomputethesum

Recallthatthesumoftwonumbersistheresultyouobtainbyaddingthetwonumberstogether.

ANSWER:

6items

12items

13items

numberofeggs= 12 dozen

sum= 12500



Correct

NotethatyoucanalwaysreviewexactlywhatyoutypedintheanswerboxbyclickingMyAnswers.

Scientificnotation

Youmaywanttoenter367,000,000inscientificnotationas .Therearetwowaystodothis.

Touseatemplate,clickthe buttonfoundunderthe menu.

Tousethekeyboard,

Insteadofthe symbol,useamultiplicationdot( )bytypingthekeyboardmultiplicationsymbol*(Shift+8).Toinputtheexponentfornumberswritteninscientificnotation,doeitherofthefollowing:

Clickthe buttonfoundunderthe menu.Type^(Shift+6)fromyourkeyboard.

Forexample, canbeenteredintheanswerboxbytyping3.67*10^8.

PartC

Practiceenteringnumbersthatincludeapowerof10byenteringthediameterofahydrogenatominitsgroundstate, ,intotheanswerbox.

Expressthediameterofagroundstatehydrogenatominmetersusingapowerof10.Donotentertheunitstheyareprovidedtotherightoftheanswerbox.

ANSWER:

3.67 108

3.67 108

= 10.6 mdH 1011

= 1.061010 dH m



Correct

Insomecomputerprogramminglanguagesandsoftware,ashorthandscientificnotationforanumbersuchas wouldbe3.0E12.Thisnotationshouldbeavoidedwhenusingthemathanswerbox,becausetheEwillbeinterpretedasavariable.Tocorrectlyenter asananswer,followtheadvicegivenabove.

PartD

Ifyouareaskedtoprovideasetoftwoormorenumericanswers,separatethemwithcommas.Forexample,toprovidetheyearthatSputnik(thefirstsatellitetobesentintoorbitaroundtheEarth)waslaunchedandtheyearhumansfirstwalkedontheMoon,youwouldenter1957,1969intheanswerbox.

Arectanglehasalengthof5.50 andawidthof12.0 .Whataretheperimeterandareaofthisrectangle?

Entertheperimeterandareanumericallyseparatedbyacomma.Theperimetershouldbegiveninmetersandtheareainsquaremeters.Donotentertheunitstheyareprovidedtotherightoftheanswerbox.

Hint1.Howtofindtheperimeter

Theperimeterofatwodimensionalshapeisthedistancearoundtheoutsideedgeoftheshape.Inthecaseofarectangle,therearetwosidesoflength andtwosidesofwidth .Therefore,ifyouweretowalkaroundtheoutsideofarectangle,youwouldwalkadistanceof or

.

Hint2.Howtofindthearea

Thearea ofarectangleisgivenbytheproductofitslength andwidth : .

ANSWER:

Correct

IntroductiontoSignificantFigures

3.0 1012

3.0 1012

m m

L W 2L + 2W2(L + W)

A L W A = L W

perimeter,area= 35.0,66.0 , m m2



ManyquestionsinMasteringrequireyoutoenteryouranswertoaspecifiednumberofsignificantfigures.Forgradingpurposes,somenumericanswersmustbeexact.Supposeyouareasked"Howmanydaysareinaweek?"Theanswermustbe"7."Othernumericanswersmaybegradedascorrectnotonlywhentheymatchtheexactanswerbutalsoiftheyfallwithinanacceptablerangeoftheexactanswer.Thisrangeisknownasthegradingtolerance.Supposeyouareasked"Howmanydaysareinayear?"Thepreciseansweris365.24days.However,acalendarcontains365days,sotheMasteringsystemwillalsoacceptthatascorrect.

AnanswerthatfallswithintheMasteringgradingtolerancewillalsobemarkedascorrectandyouwillbegivenfullcredit.Youwillseeafeedbackboxthatlooksliketheonebelow:

Becauseyouroundeddifferentlythanthesystemdid,yourroundedanswermightaffectyourworkonfurthercalculationsinthesameitemandcouldcauseyournextanswertofalloutsideofthetolerance.Topreventthis,youwillbeaskedtousetheunroundedanswerforallfutureparts.

PartA

Supposeyouareaskedtofindtheareaofarectanglethatis2.1 wideby5.6 long.Yourcalculatoranswerwouldbe11.76 .Nowsupposeyouareaskedtoentertheanswertotwosignificantfigures.(Notethatifyoudonotroundyouranswertotwosignificantfigures,youranswerwillfalloutsideofthegradingtoleranceandbegradedasincorrect.)

Enteryouranswertotwosignificantfiguresandincludetheappropriateunits.

ANSWER:

Correct

Thisisyourfinalanswer,roundedtotwosignificantfigures.

Tocalculateananswertothecorrectnumberofsignificantfigures,youmustcompleteallcalculationsfirstandthenroundyourfinalanswerastheverylaststep.InPartC,youareaskedtocalculatethevolumeofarectangularprismthathasalengthof5.6 ,awidthof2.1 ,andaheightof6.6 .Youcancalculatethevolumeofaprismbymultiplyingtheareaofthebasetimestheheight.Youalreadycalculatedtheareaofthebaseas inPart

cm cm cm2

12cm2

cm cm cm2.1 cm 5.6 cm



A.

PartB

WhatvalueshouldyouuseastheareaofthebasewhencalculatingtheanswertoPartC?

ANSWER:

Correct

11.76 isthecorrect,unroundedvalueoftheareaofthebase.ItiscorrecttoroundtotherequestednumberofsignificantfiguresinPartAbecausecalculatingtheareaisyourfinalstep.Ifyouwanttousethatinformationinfurthercalculationsyoumustusetheunroundedvalue.

PartC

UsingthecorrectanswerfromPartB,calculatethevolumeofarectangularprismwithalengthof5.6 ,awidthof2.1 ,andaheightof6.6 .

Enteryouranswertotwosignificantfiguresandincludetheappropriateunits.

ANSWER:

11.76

12

11.8

cm2

cm2

cm2

cm2

cm cm cm

78cm3



Correct

PartD

Wouldananswerthatgeneratedtheresponsebelowbeconsideredcorrectandgiveyoufullcredit?

ANSWER:

Correct

IntroductiontoSymbolicAnswers

Thisexerciseisnotintendedtotestyourknowledgeofanyspecificsubjectmaterial.Therefore,onthisproblemyouwillnotbepenalizedforsubmittingincorrectanswers.

Overview

Thetypeofanswerboxillustratedhereletsyoubuildasymbolicexpressionjustasitwouldlookinyourtextbookorasyoumightwriteitbyhand.

Yes.

No.

Itisimpossibletotell.



Youusethesameanswerboxandmenutabstoenternumericandsymbolicanswers.

Toinsertaformattingtemplate,suchasanexponent,squareroot,orfraction,click andthenselecttheappropriatetemplate.

ToinsertGreekletters, (hbar)and (EMF),click andthenselecttheletteryouwant.

Toundoyourwork,click .Toredoyourwork,click .

Toclearyourwork(restart),click .

Toviewalistofkeyboardshortcuts,click .Herearesomeofthemostcommonshortcuts:

Subscript:Type_(anunderscore).Exponent:Type^(Shift+6).Fraction:Type/(aforwardslash).Squareroot:Type\sqrt.Greekletters:Typeabackslash(\)andthenameoftheGreekcharacter.Forexample,todisplay ,youwouldtype\delta.ForuppercaseGreekletters,beginthenamewithacapitalletter.Forexample,youwouldtype\Deltatodisplay .

Formoreinformation,click( ).Toidentifythepurposeofanyicon,simplyplaceyourcursoroverit.Forinstance,hereisanexample

showingtheGreekletterOmega: .

Grading

Youranswersaregradedaccordingtothestandardorderofoperationsconventionsforevaluatingmathematicalexpressions,asfollows:

1. Performanycalculationsinsideparentheses.2. Performallmultiplicationsanddivisions,workingfromlefttoright.3. Performalladditionsandsubtractions,workingfromlefttoright.

Forexample,intheexpression ,firstyoushouldmultiply by andthenadd tothetotal.Inotherwords,thecorrectexpressionis

a + b c b c a+ = + ( ) ( + )



.

PartA

Similartowhatyouseeinyourtextbook,youcangenerallyomitthemultiplicationsymbolasyouanswerquestionsonline,exceptwhenthesymbolisneededtomakeyourmeaningclear.Forexample, isnotthesameas .Whenyouneedtobeexplicit,type*(Shift+8)toinsertthemultiplicationoperator.Youwillseeamultiplicationdot( )appearintheanswerbox.Donotusethesymbol .Forexample,fortheexpression ,typingm awouldbecorrect,butmxawouldbeincorrect.

Entertheexpression .

ANSWER:

Correct

Whenenteringalgebraicexpressions,suchasma,youcanenteritusingexplicitmultiplicationm aorimpliedmultiplicationma.Bothwillbeacceptedascorrect.

Alltrigonometricfunctionsassumeanglesareinradiansbydefault,unlesstheuseofdegreesisspecified.

PartB

Entertheexpression ,where isthelowercaseGreeklettertheta.

ANSWER:

Correct

Toidentifyavariabledisplayedinaspecificpart,placeyourcursoroverit.Forinstance,hereisanexampleshowingtheGreekletterthetausedin

thisproblem: .

a + b c = a + (b c) (a + b) c

1 105 1105 ma

ma

=ma ma

2 () 1cos2

=2 () 1cos2 2 () 1cos2



PartC

Entertheexpression ,where istheinversesinefunction.

ANSWER:

Correct

Usethesamenotationtoenterotherinversetrigonometricfunctions,forexample and fortheinversecosineandtangentfunctionsrespectively.

PartD

Entertheexpression ,where istheuppercaseGreekletterDelta.

ANSWER:

Correct

PartE

Entertheexpression ,where isNnaught(anNwithasubscriptzero)and isthelowercaseGreekletterlambda.

ANSWER:

Correct

asin(x) + 15 asin(x)

=asin(x) + 15 asin(x) + 15

acos(x) atan(x)

2gym

=2gy

m

2gym

N0et N0

=N0et N0et



IntroductiontoSortingQuestions

Thisexerciseisnotintendedtotestyourknowledgeofanyspecificsubjectmaterial.Therefore,onthisquestionyouwillnotbepenalizedforusingthehintorsubmittingincorrectanswers.

Overview

1. Sortingquestionsrequireyoutoplaceobjectsintodifferentcategoriesorbins.Therewillalwaysbeatleasttwobinsandeachbinislabeledaccordingtothecategoryitrepresents.

2. Anobjectcanonlybelongtoonebin.3. Abincanremainempty.4. Beforeananswerissubmitted,itispossibletorearrangetheobjectsbydraggingthemtonewlocations.Tostartover,clickReset.5. Onceyou'resatisfiedwithyoursorting,clickSubmit.

PartA

Correctlyclassifythegivenfooditemsaseitherafruitoravegetable.Ifyouneedhelp,lookatthehintavailablebyclickingHints.

Dragthefoodsintotheappropiatebins.Fruitsshouldbeplacedintheleftbin.Vegetablesshouldbeplacedintherightbin.

Hint1.Howtodistinguishfruitsfromvegetables

Botanicallyspeaking,anythingthatgrowsfromaflowerandbearsseedsisconsideredafruit.Forexample,oranges,grapes,andstrawberriesareallfruits.Truevegetablesarethosethatcomefromapartoftheplantthatisnottheflower,suchasleaves,stems,androots.Thuslettuce,cabbage,andradishesareallvegetables.

ANSWER:



Correct

Atomatocomesfromaflowerandcontainsseeds,soitisafruitandisclassifiedasaberry.Anavocadocontainsalargeseedinitscentersimilartopeaches,apricots,andmangos.Plantssuchascucumbers,squash,greenbeans,peppers,andeggplantsarealsofruitsbythisdefinition,althoughtheyareusuallyusedasvegetablesincooking.KeepinmindthatyoucanrefertothisquestionorconsulttheHelpifyouhavedifficultyusingthisanswertypelateron.

IntroductiontoRankingQuestions

Thisexerciseisnotintendedtotestyourknowledgeofanyspecificsubjectmaterial.Therefore,onthisquestionyouwillnotbepenalizedforsubmittingincorrectanswers.



Overview

1. Rankingsareusuallyorderedfromlefttoright.Checktheprobleminstructionstobesure.2. Toranktwo(ormore)objectsthatareequivalent,dragoneobjectintotherankingbinthendragthesecondobjecttooverlapit.Theseobjects

willthenautomaticallyaligntobeslightlyoffset(soyoucanseebothofthematonce).Youwillknowtheyareequalbecauseaverticalgraybarwillappearbehindthemtoindicateanequivalentrankinggroup.

3. Sometimes,itwillbeimpossibletoranktheobjectsbasedontheinformationgiven.Insuchacase,clickontheboxlabeled"Thecorrectrankingcannotbedetermined"belowtherankingwindow.

4. Beforeananswerissubmitted,itispossibletorearrangetheobjectsbydraggingthemtonewlocations.Tostartover,clickReset.5. Onceyou'resatisfiedwithyourranking,clickSubmit.

PartA

Eachofthesegeometricshapeshasadifferentnumberofsides.Arrangetheshapesinorderfromtheshapewiththegreatestnumberofsidestotheshapewiththefewestnumberofsides.

Ranktheseshapesfromgreatesttofewestnumberofsides.Torankitemsasequivalent,overlapthem.

ANSWER:



Correct

Notethatwhentwoormoreobjectsareequivalenttheyareplacedoneatopanother.Theywillappearslightlyoffset,butthebackgroundcolorbehindthemwillchangetolightgraytoindicatethattheitemsareinthesameequivalentrankinggroup.KeepinmindthatyoucanrefertothisquestionorconsulttheHelpifyouhavedifficultyusingthisanswertypelateron.

IntroductiontoGraphingQuestions

Thisexerciseisnotintendedtotestyourknowledgeofanyspecificsubjectmaterial.Therefore,onthisquestionyouwillnotbepenalizedforsubmittingincorrectanswers.



Overview

Whenanassignmentquestionrequiresthatyouanswerbyplottingagraph,youwillseethefollowingbuttons:

Toaddanewgraph,click .Youwillfirstbepromptedtoselectalabel.Thenyoucanaddpoints.(Afteraddingyourfirstpoint,thetoolautomaticallychangestoaddpointsmode.)Youcancreateasmany"unlabeledgraphs"asyoulikethesewillnotbegraded.

Toaddoreditpointsonagraph,select or .Thisbuttontogglesbetweenthesetwomodes.

Aboutaddingpoints:Yourcursorappearsasacrosshairwith coordinatesnexttoit.Toaddapoint,clickalocation.Toaddmultiplepointsatatime,clickanddragyourmouse.

Abouteditingagraph:Usingamouse:Tomoveapoint,clicktoselectthepointandthendragittothenewlocation.Tomovetheentiregraphtoanewlocation,clickbetweenpointsonthegraphandthendrag.Usingyourkeyboard:Withapointorgraphselected,pressanyarrowkeytoreposition.

Aboutselecting/deselectingpointsandgraphs:Clickonanypointtoselectit.Toselectagraph,clickbetweenpoints.Activelyselectedpointsandgraphsarehighlighted.Todeselectapointorgraph,clickanemptyareaoftheworkspace.

Todeleteaselectedpointorgraph,click or .Todeleteusingyourkeyboard,pressDeleteorBackspaceafterselectingapointorselectingagraph.

Tochangethegraphlabelfortheactivegraph,click .

Toresetyourgraphstothemostrecentlysubmittedanswer(restart),click .

Forhelpwithgraphing,click .

PartA

Createagraphof .

Constructagraphcorrespondingtothelinearequation .

Hint1.Identifyapointtograph

Youneedtocreateaplotof.

Toidentifypointsonthisgraphyoumustsolveforthevaluesof when takesondifferentvalues.Whatis when ?

Expressyouranswernumerically.

+(x, y)

y = 2x 6

y = 2x 6

y = 2x 6y x y x = 5



ANSWER:

ANSWER:

CorrectNowthatyouhavesomeexperiencewithgraphingtaskquestiontypesyoucantacklehardergraphs.

IntroductiontoVectorDrawingQuestions

4y =



Whenanassignmentquestionrequiresthatyouanswerbydrawingvectorsormoments,youwillseethefollowingbuttons.

Todrawanewvector,click andselectthelabelforthevectorthatyouwanttodraw.Youcandrawthevectorbyclickingonthestartpointanddraggingyourmousetotheendpoint.Toeditanexistingvector,clicktoselecteitherthevector,itsstartpoint,oritsendpoint.Dragtheselectedvectororpointtoanewlocation.Somequestionswillaskyoutomarkmoments.Tomarkamoment,clickoncetoaddaclockwisearrow,againtoaddcounterclockwisearrow,andathirdtimetoreturntoastateofnomoment/torqueaction(nodirectionalarrow).Todeselectavectorormoment,clickonanyemptyareaoftheworkspace.

Toviewthesumofallthevectorsinyourdrawing,click .Thisoptionisnotavailableineveryproblem.

Todeleteaselectedvectorormoment,click .Todeleteusingyourkeyboard,pressDeleteorBackspaceafterselectingavectorormoment.Tochangealabel,getinformationaboutavectorormoment,tochangethelengthandangleofavectorusingthekeyboardorto

changethedirectionofamoment,click todisplayattributewindowssuchasthefollowing:

Hereyoucanchangealabelbyselectinganothervectorormoment.Vectorproperties(LengthandAngle)willdisplayorthemomentdirection,iftheyarerequiredforyoutocompletethedrawing.

Toresetyourvectorsormomentstothemostrecentlysubmittedanswer(restart),click .

Forhelpwithdrawingvectorsormoments,click .

PartA

EverymorningAnnwalksherdogthroughthepark,shownasagreensquareonthediagrambelow.Theystartatpoint1,walkoneblockupthestreet,takeaturnatthecornerlabeled2,andwalkdiagonallythroughtheparktopoint3.Toreturnhome,theywalktwoblocksdownthestreetandturnrightatthecornerlabeled4.Drawthepath takenbyAnnasshewalksherdog.RepresenteachsegmentofAnna'swalkwithavector.

Thevectorsshouldstartandendatthecentersofthereddotslocatedontheimage.

ANSWER:

12341



Correct

Besidesdrawingvectorsbyconnectingtwogivendots,youwilloftenhavetodrawvectorsofagivenlengthorataspecificangle.Inthesecases,

click ,thenadjustthevectorfromthepropertieswindowtothedesiredlengthorangle.

PartB

Nowimaginethatinsteadofwalkingalongthepath ,Annwalks80metersonastraightline northofeaststartingatpoint1.DrawAnn'spath.RepresentAnn'swalkwithavectoroflength80meters.

Drawthevectorstartingatpoint1.ThelengthdisplayedintheVectorInfopropertieswindowisgiveninmeters.

ANSWER:

12341 33



Correct

Youcanusethe buttontoadjustthelength,andorientationofavector:

1. Clickonthebuttontodisplaythepropertieswindow.2. Dragthepropertieswindowtoalocationwhereitwillnotpreventyoufromseeingandmanipulatingthevector.3. Drawthevectoratthedesiredlocation.Asyoudrawthevector,noticetheinformationdisplayedinthepropertieswindow(lengthand

angle).Dependingonthequestion,someinformationmaynotbeavailableinthepropertieswindow.Whenanangleisdisplayed,itistheangle,measuredcounterclockwise,thatthevectormakeswithrespecttothepositive axispointingtowardtheright(east).

4. Adjustthevectoruntilthedesiredlengthandanglearedisplayedinthepropertieswindoworjustmanuallyenterthem.

PartC

Thediagrambelowshowsaforcebeingappliedonabeam.Markthedirectionofmomentatthefulcrumbyclickingonthedotindicatedby .

x

M



Clickoncetoaddaclockwisearrow,againtoaddcounterclockwisearrow,andathirdtimetoreturntoastateofnomoment/torqueaction(nodirectionalarrow).

ANSWER:

Correct

ReviewingtheFundamentals

Trythisfinalitemtoreviewsomeofthekeyconceptsyou'velearned.

PartA

Youarestartinganewitemandafterreadingthefirstpartyourealizeyouhavenoideahowtogoaboutansweringit.Whatshouldyoudo?



ANSWER:

CorrectThehintsaredesignedforexactlythisreason:togiveyousomethingtoworkwithifyouareabsolutelystuck.Youwillmostlikelyscorehigher(andlearnmore!)ifyouusethehintswhenyouneedthemratherthanguessingorgivingup.

PartB

Youhavebeenworkingonanitemforawhileandafterafewmisstepsyou'vecomeupwithananswer.However,thereisoneparticularthingthatyou'renot100 sureof.Whatshouldyoudo?

Selectallthatapply.

ANSWER:

CorrectThereisnosinglerightwaytoproceedifyou'vemadesomeprogressonanitembutarenot100 sureofyourwork.Ifyousubmittheanswer,youmightberightandthereisagoodchanceyouwillgetsomeusefulfeedback.Thereisalsoagoodchancethatthehintsaddresswhateverissueyouareunsureabout.Finally,ifyourinstructorallowsit,talkingoveryoursolutionwithsomeoneelsecouldbeagoodwaytogo.Youshoulddowhateveryoufindworksbestforyou.

PartC

You'vejustsolvedaproblemandtheansweristhemassofanelectron, .Howwouldyouenterthisnumberintothe

Usetheavailablehints.

Requestthesolutionimmediately.

Guessrandomlyandhopeforsomeusefulfeedback.

%

Returntothequestionafteryou'vespokenwithaninstructororclassmate.

Checkforanyhintsthataddressthepartofthecalculationyou'reunsureabout.

Submityouranswerandthenadjustitaccordingtoanyfeedbackyoureceive.

Noneoftheabove.

%

= 9.11 kilogramsme 1031



answerbox?

Enteryouranswerinkilogramsusingthreesignificantfigures.Notethattheunitsareprovidedforyoutotherightoftheanswerbox.

Hint1.Multiplicationandsuperscripts

Youmayusethescientificnotationtemplate toenteryouranswer,ortypethefollowing:9.11*10^31.

Thekeyboardmultiplicationsymbol*(Shift+8)willappearasamultiplicationdot,andthecaratsymbol^(Shift+6)willallowsuperscript.

Anotherwaytogetanexponentisbyclicking inthe menu.

ANSWER:

Correct

PartD

AfriendinyourclasstellsyouthatsheneveruseshintswhendoingherMasteringhomework.Shesaysthatshefindsthehintshelpful,butwhenthehintasksanotherquestionitincreasesthechancethatherscoreontheproblemwillgodown.Shefeelslikeitisn'tworththerisk.Youreassureherthatthereisnothingtofearaboutopeningahintthatasksaquestion.Whichofthefollowingaregoodreasonsforyourfriendnottoworry?

Selectallthatapply.

ANSWER:

= 9.111031 me kilograms

Gettingthecorrectanswertothequestioninahintactuallygivesyousomepartialcredit,evenifyoustillcan'tanswertheoriginalquestion.

Asanincentiveforthinkinghardabouttheproblem,yourinstructormaychoosetoapplyasmallhintpenalty,butthispenaltyisthesamewhetherthehintsimplygivesinformationorasksanotherquestion.

Theonlywaytoloseadditionalpartialcreditonahintisbyusingthe"giveup"buttonorenteringincorrectanswers.Leavingthequestionblankwillnotcostyouanycredit.

Noneoftheabove.



Correct

That'sit!You'redone!WehopeyouenjoyusingMastering.

ScoreSummary:Yourscoreonthisassignmentis100%.Youreceived8outofapossibletotalof8points.

introduction to masteringphysics

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