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Name:______________________________________ APPHYSICS1
Date:____________________________________ PreviewforAPPhysics1 SummerPacket
1
APPHYSICS1
MathPreviewPACKET
2020-2021
DUE:FirstDayofClass,Fall2020
Name:______________________________________ APPHYSICS1
Date:____________________________________ PreviewforAPPhysics1 SummerPacket
2
WELCOMEtoAPPhysics!Youareabouttoembarkonajourneyofcuriosity,creativity,andlearningthroughoutouryearinAPPhysics1.Youwillbeheldtoaveryhighstandardofsuccessinthisclass,whichmeansyoumustalwaysdoyourbestwork.Andthissuccessstartsnow!Yourpacketwillreviewallofthemathskillsthatarenecessarytobesuccessfulinphysics.Masteryofthesemathconceptswillallowustojumpintotheinterestingintricaciesofphysicswhenwecomebacktogetherinthefall.
YouwillhaveaQUIZontheproblemssimilartothoseineachsectionofthispacket.Pleasemakesureyouarewellpreparedforthisquizinordertostartyouryearoffstrong.
WhatshouldIdoifIhavequestions?PleasereachouttoDr.Yiwithanyquestions,comments,concernsorevenjustahello!Wecanbereachedat:insuyi@franklinboe.org The following are the suggested, optional video lessons on Khan Academy. Please watch, if possible, and learn in depth essential math and physics concepts that are important in AP Physics 1. 1) Introduction to physics (video) | Khan Academy https://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/ap-physics-foundations/v/introduction-to-physics 2) Intro to vectors and scalars (video) | Khan Academy https://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/ap-physics-foundations/v/introduction-to-vectors-and-scalars 3) Visualizing vectors in 2 dimensions (video) | Khan Academy https://www.khanacademy.org/science/ap-physics-1/ap-two-dimensional-motion/analyzing-vectors-using-trigonometry-ap/v/visualizing-vectors-in-2-dimensions 4) Vectors word problem: pushing a box (video) | Khan Academy https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:vec-models/v/vector-component-in-direction
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DOYOURBESTWORK!
PLACEEACHFINALANSWERINTHESPACEPROVIDEDFOREACHQUESTION.
Note:theAPPhysics1EquationsandInformationtableislocatedonthelastpage.
SECTION1:DIMENSIONALANALYSIS
Onewaytoconvertunitsisthe“factorlabelmethod”.Thisrequiresyoutomultiplyyourgivenbyaseriesoffactorsinorderfortheunitsyoudonotwanttocanceloutandtheunitsyoudowanttoremain.Forexample:
Convert10km/htometerspersecond.
Firstidentifytheconversionfactors:
1km=1000m 1hr=3600s
Second,setupyourseriesoffactorswithappropriateunitscancellingout:
10𝑘𝑚1ℎ𝑟
∗ 1000𝑚1𝑘𝑚
∗1ℎ𝑟3600𝑠
= 10000𝑚3600𝑠
= 2.8𝑚𝑠
1. Convert128meterstopicometers.
2. Convert8gramstokilograms.
3. Convert12m/stokm/hr
4. Convert125m/hrtokm/s
5. Howmanymeters/secondareequivalentto3000centimetersperday?
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Usetheinternettofindtheappropriateconversionfactorsbelow.Itisimportantthatyoubecomefamiliarwiththeseunits,soasastrongAPstudent,youwillneedtodosomeresearchonyourown.
6. Convert1atmospheres(atm)toPascals(Pa)_______________________________7. Convert298Kelvin(K)todegreesCelsius(C)_______________________________8. Convert3liters(L)tocubicmeters(cm3)_______________________________9. Convert32milestometers_______________________________10. Convert12mmHgtoPascals(Pa)_______________________________
SECTION2:SCIENTIFICNOTATION
Scientificnotationisthewayinwhichscientistsexpresseitherverysmallorverylargenumbers.Apositiveexponentcorrespondstoadecimalpointshifttotheright.Anegativeexponentcorrespondstoadecimalpointshifttotheleft.
Example:4.27𝑥103 = 4270000
Writethefollowingnumbersinscientificnotation:
1. 33200000=___________________________________________________
2. 0.000212=___________________________________________________
3. 4200=___________________________________________________
4. 500=___________________________________________________
5. 0.00000003=___________________________________________________
Convertthefollowingnumbersfromscientificnotationtostandardnotation:
1. 3.4𝑥104=___________________________________________________
2. 4.25𝑥106=___________________________________________________
3. 5.67𝑥1078=___________________________________________________
4. 2𝑥109=___________________________________________________
5. 9.223𝑥107;=___________________________________________________
6.
𝐾 = (3.3∗>?@AB)(8.>>∗>?DE/G)@8
𝐾 =
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SECTION3:MANIPULATINGEQUATIONS
InAPPhysics,alotoftheworkwedoisconceptual.Thismeansthatyouneedtobewell-versedinmanipulatingequationsthatcontainonlyvariables,nonumbers.Manipulatetheequationsbelowtosolvefortheindicatedvariable.
1. 𝑃𝑉 = 𝑛𝑅𝑇 𝑅 = __________________________
2. 𝑥 = 𝑥? + 𝑣?𝑡 +>8𝑎𝑡8 𝑡 = __________________________
3. 𝑠𝑖𝑛𝜃 = TUTV 𝜃 = __________________________
4. 𝑞𝑉 = >8𝑚𝑣8 𝑚 = __________________________
5. 𝑇X = 2𝜋 ZB 𝑙 = __________________________
6. 𝑈] = − ]E_E@`
𝑚> = __________________________
7. 𝐾 = >8𝑚𝑣8 𝑣 = __________________________
8. 𝑣a8 = 𝑣a?8 + 2𝑎a(𝑥 − 𝑥?) 𝑣a? = __________________________
9. 𝑃 = ∆c∆d ∆𝑡 = __________________________
10. 𝜃 = 𝜃? + 𝜔?𝑡 +>8𝑎𝑡8 a= __________________________
SECTION4:GEOMETRY
1. Givethevalueforangleqinthediagramtotheright.__________________
2. Ifacirclehasaradiusof3.2cm,whatisthecircumferenceofthecircleinmeters?__________________
3. Ifacirclehasadiameterof2.7m,whatisitsareainm2?__________________
4. WhatistheangleC,showninthediagramtotheright?__________________Inthediagramtotheright:a. WhatislineBcalledinreferencetothecircle?__________________
b. WhatisthevalueoftheanglebetweenAandB?_________________
SECTION5:VECTORS
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InPhysics,weusequantitiescalledvectors.Avectorisaquantitythathasbothamagnitudeandadirection.Thisisincomparisontoascalar,whichisaquantitythatisjustasinglenumberanditsunits.Scalarshaveonlymagnitude.
Examplesofscalars:mass,length,time,temperature.
Examplesofvectors:force,velocity,acceleration
Thereareafewwaystowriteinvectornotation:
𝐹or𝐹 Thelengthofthearrowisproportionaltothemagnitudeofthevectorandthearrowpointsinthe directionofthevector.
Youcanhaveapositiveoranegativevector.Apositiveandnegativevectorofthesamevaluewillhavethesamemagnitudehowevertheywillbepointinginoppositedirections.
𝐹or-𝐹
Youcanaddvectorsbysimplyaddingtheirmagnitudes.Thesumoftwovectorsistheresultantvector.
𝐹> + 𝐹8 = 𝑅
Example:ifF1hasamagnitudeof4andF2hasamagnitudeof7,Rwillhaveamagnitudeof11.
Example:ifF1hasamagnitudeof4andF2hasamagnitudeof-3,Rwillhaveamagnitudeof1.
Vectorscanbeaddedasfollows:
1. Drawtheresultantforeachpairofvectorsbelowusingtheparallelogrammethod.LabelyourresultantR.
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2. Drawtheresultantforeachpairofvectorsbelowusingthetiptotailmethod.LabeltheresultantR.
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Youcanalsofindthecomponentvectorsbygiventheresultant.Thecomponentvectorsarethetwovectorsthatmakeuptheresultantvector.Note:thequadrantthatthevectorisinwilldeterminethedirection(+or-)ofthecomponents.
3. Fortheresultantsbelow,drawthecomponentvectorsonthexandyaxes.
SECTION6:TRIGONOMETRYUsethePythagoreanTheoremtosolvethefollowingproblems.Ensureyourcalculatorisindegreemode.
1. Solveforaandcifb=17.8andq=65°._____________________
2. Solveforqandcifa=250andb=180._____________________
3. Solveforaandqifb=104andc=65._____________________
4. Solveforaandbifc=32andq=55°._____________________
5. Solveforbandqifa=25andc=32._____________________
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SECTION7:APPLIEDPROBLEMSThequestionsbelowaretypical(easy)physicsproblems.Doyourbestusingyourpriorphysicsandmathknowledge!
1. Giventheequation𝐹 = 𝑚𝑎,describethefollowingrelationships:a. AsFdecreasesandmisconstant,a:________________________________________________________
b. Asmincreasesandaisconstant,F:________________________________________________________
2. Giventheequation𝑧 = ah,describethefollowingrelationships:
a. Aszincreasesandyisconstant,x:________________________________________________________
b. Asxisdoubledandzisconstant,y:________________________________________________________
3. Giventheequation𝐾 = >8𝑚𝑣8,describethefollowingrelationship:
a. AsKdecreasesandmremainsconstant,v:________________________________________________________
4. Anexperimentwasdonetotrackthevelocityofanobjectfallingfromrest.Thedataisshowninthetablebelow.
Velocity(cm/s) Time(s)
32 1
63 2
97 3
129 4
159 5
192 6
a. Graphthedataontheaxesgiven.(Useyourgraphforpartsb-e).
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b. Whatistherelationshipbetweenvelocityandtime?___________________________________________________________________________________________________________________________________
c. Whatdoyouexpectthevelocitytobeat3.5seconds?_________________________________
d. Howmuchtimewouldbeneededtoreachaspeedof100cm/s?_________________________________e. Whatwouldlikelybethevelocityat7seconds?_________________________________
5. Themassofonesingleelectronis9.1 ∗ 107i>kg.Howmanyelectronsaretherein3kg?_________________________________
6. Ifyouaredrivinginastraightlineat65km/handyoulookoutthewindowfor3seconds,howmanymetersdidyoutravelinthese3seconds?_________________________________
7. Calculatethevalueofanglexbelowandexplaintherelationshipbetweenthetwoanglesshown.______________________________________________________________________________________________________________
8. Calculatethevalueoftheanglexbelowandexplaintherelationshipbetweenthe2anglesshown.___________________________________________________________________________________________________________________________
9. Findthesurfaceareaoftheobjecttotheright.____________________________
10. Usethefiguretotherightforthenextseveralquestions:a. Determinethelengthof𝐺𝑀_____________
b. Solvefor𝑠𝑖𝑛𝑀_____________
11. Inatriangle∆𝑅𝑇𝑋,𝑠𝑖𝑛𝑅 = 9>iandthehypotenuseis117unitslong.Whatistheperimeterofthetriangle?
_____________
12. Thewordsaccuracyandprecisionhavedifferentmeanings.Precisionreferstotheclosenessoftwoormoremeasurementsinrelationtoeachother.Accuracyreferstotheclosenessofameasuredvaluetoastandardorknownvalue.Forexample,ifyouknowthattheweightofanobjectis5kgandyoumeasureitinlab3times,ifyourthree
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valuesare4.99,5.0and5.1,youarefairlyaccurate.Ifyouknowthattheweightofanobjectis5kgandyoumeasureitinlab3times,ifyourthreevaluesare3.2,3.2and3.2,youarecertainlynotaccurate,butyouareveryprecise.
a. Theactualvelocityofacarwas1.59m/s.Threestudentsmeasuredthedataofthevelocity.Determineifeach
studentisaccurateorpreciseorboth.StudentAis:___________________________________________________________StudentBis:___________________________________________________________StudentCis:___________________________________________________________
13. Determinethelengthofallunknownsidesinthediagrambelow.Giveyouranswertothenearesthundredth.a. x=_______________________________
b. y=_______________________________
c. w=_______________________________
d. z=_______________________________
Thefollowingquestionsarechallenging.Doyourbest!Theywillbegradedonyourabilitytowriteclearlyandcoherently,answeringallpartsofthequestionaswellasprovidingreasonableandscientificrationale.
14.28kmisequalto____________cm.(a)2.8x10-6cm(b)2.8x10-3cm(c)2.8x103cm(d)2.8x106cm15.50.0mgisequalto___________kg.(a)5x10-5kg(b)5x10-3kg(c)5x103kg(d)5x105kg16.450m/sisequalto_____________km/h.(a)1.6x10-6km/h(b)1.6x10-3km/h(c)1.6x103km/h(d)1.6x106km/h17.Thespeedoflight,3.0x108m/s,isequalto______________km/h.(a)1.1x10-9km/h(b)1.1x10-3km/h(c)1.1x103km/h(d)1.1x109km/h
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18.Thespeed70.0mi/hisequalto_____________m/s.(a)30m/s(b)300m/s(c)3,000m/s(d)30,000m/s19.Convertthegivenunitstothedesiredunits.1km=103mà1m=_____________km1m=102cmà1cm=______________m
1kg=103gà1g=_____________kg1mg(milligram)=10-3gà1g=________________mg
1h=60min=3,600sà1s=______________h1mi(mile)=1.6kmà1km=______________mi
20.BaseEquation:v=d/t(1) Solveford(2) v=123m/st=5s,whatisd=?21.BaseEquation:Vf=Vi+at(1) Solvefort(2) Vf=32m/sVi=0a=8.0m/s2,whatist=?22.BaseEquation:(½)mV2=mgh(1) SolveforV(2) g=9.80m/s2andh=875m,whatisV=?
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23.BaseEquation:F=GM1M2/r2(1) SolveforM2
(2) F=132N,G=6.67x10-11Nm2/kg2,r=.243m,andM1=1.175x104kg,thenwhatisM2=?24.BaseEquation:v=√(2gre)(1) Solveforre(2) v=1.12x104m/sandg=9.80m/s2,whatisre=?25.BaseEquation:Fc=mV2/r(1) SolveforV(2) F=1680kgm/s2,m=125kg,andr=9.00m,whatisV=?26.BaseEquation:T=2π√(L/g)(1) Solveforg(2) T=2.94sandL=2.15m,whatisg=?27.UsainBoltisrunningwithavelocityof+12m/sdownthetrack.Ifthewindisblowingdirectlyintohisfaceat3m/s,
whatisUsain’sresultantvelocity?28.Aplaneisflyingdueeastat350mi/hr.Thewindisblowinginthesamedirectionat25mi/hr.Whatistheresultant
velocityoftheplane?
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29.Twoteamsareplayingtug-of-war.TeamRoadRageispullingtotheleftwithaforceof725N.TeamCleanispullingto
therightwithaforceof655N.A)Whatistheresultantforce?B)Whatisthenetforceinwhichdirection?30.Aboat’senginecangiveitavelocityof25m/s.Iftheboatheadsdueeastacrossariverwhichisflowingduesouthwith
avelocityof8.5m/s;whatistheresultantvelocityoftheboat?(Rememberyoumustfindbothamagnitudeanddirection.)
N S31.Youwalk100mduenorth.Youthenturnandwalk55mdueeast.Youthenmakeanotherturnandwalk12mdue
south.Whatistheresultantvectorforyourwalk?
32.Convert30mi/htokm/s.
33.M1V1+M2V2=0.SolveforV2.
Theselastfewquestionswilltestyourcreativethinkingabilities.Pleaseanswerashonestlyaspossible.
1. Howcanyouconnectallfourofthesedotsbydrawingonly2straight,connectedlines?
2. Youaregiventhefollowingmaterials:boxofnails,hammer,matchesandacandle.Yourtaskistoaffixthecandletoawall.Howwillyoudothatwithonlythematerialsavailable?
3. IntheSmithfamily,thereare7sistersandeachsisterhas1brother.IfyoucountMr.Smith,howmanymalesarethereintheSmithfamily?Howdoyouknow?
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Pleasewriteyournamebelow.Thissurveywillbekeptbymeandthepreviewpacketwillbereturnedtoyou.
Name:_________________________________
SURVEY!
Pleaserateyourselfonthefollowing,beingashonestaspossible.5=stronglyagree;1=stronglydisagree.
1. Iamacriticalthinkerandliketothinkoutsidethebox.5 4 3 2 1
2. Ienjoytasksthatmakemethinkinnewandinnovativeways.5 4 3 2 1
3. Iamskilledinmath,specificallyalgebra,geometryandtrigonometry.5 4 3 2 1
4. Iconsidermyselftobeacuriousperson,alwayswantingtoknowmoreabouttheworldaroundme.5 4 3 2 1
5. Iamexcitedforphysics!5 4 3 2 1
Thankyouforyourhardworkonthispacket.Dr.YiisexcitedtohaveyouinAPPhysics.Pleasebringyourcreativity,curiosity,andpassionforlearningthisyear,astheseareallnecessaryskillstosucceedinourclass.
- Dr.Yi
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