AP PHYSICS 1 - franklinboe.org€¦ · Name: _ AP PHYSICS 1 Date: _ Preview for AP Physics...

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APPHYSICS1

MathPreviewPACKET

2020-2021

DUE:FirstDayofClass,Fall2020

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WELCOMEtoAPPhysics!Youareabouttoembarkonajourneyofcuriosity,creativity,andlearningthroughoutouryearinAPPhysics1.Youwillbeheldtoaveryhighstandardofsuccessinthisclass,whichmeansyoumustalwaysdoyourbestwork.Andthissuccessstartsnow!Yourpacketwillreviewallofthemathskillsthatarenecessarytobesuccessfulinphysics.Masteryofthesemathconceptswillallowustojumpintotheinterestingintricaciesofphysicswhenwecomebacktogetherinthefall.

YouwillhaveaQUIZontheproblemssimilartothoseineachsectionofthispacket.Pleasemakesureyouarewellpreparedforthisquizinordertostartyouryearoffstrong.

WhatshouldIdoifIhavequestions?PleasereachouttoDr.Yiwithanyquestions,comments,concernsorevenjustahello!Wecanbereachedat:[email protected] 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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AP PHYSICS 1 - franklinboe.org€¦ · Name: _ AP PHYSICS 1 Date: _ Preview for AP Physics...

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Transcript of AP PHYSICS 1 - franklinboe.org€¦ · Name: _____ AP PHYSICS 1 Date: _____ Preview for AP Physics...

AP PHYSICS 1 - franklinboe.org€¦ · Name: _ AP PHYSICS 1 Date: _ Preview for AP Physics...

Transcript of AP PHYSICS 1 - franklinboe.org€¦ · Name: _ AP PHYSICS 1 Date: _ Preview for AP Physics...