Sample Ques ti ons AP Physics 1 a n d AP Physics2 Exams

AP Physics 1:A|gebra-Based SampleExam QuestionsSample Multiple-Choice Questions

CDC/3. Two solidspheres of radius Rmadeof the same typeof steel are placed in contact. asshown in

thefigures above. Themagnitudeofthe gravitational force that they exert oneach other isFl.Whentw o other solidspheres of radius 3R made of this steel are placed in contact, what is themagnitudeof the gravitational force that they exert on eachother?

(A) Fl(B) 3Fl(C) 91:1

(D) 81FlAnswer: D

Tern-ted Looming Ollieetive:Learning Objective (3.6.1.1):Thestudent is ableto use Newton's law of gravitation to calculate thegravitational forcethe t wo objectsexerton each other end usethat force in contexts other thenorbit-l motion. [SeeScience Practice 2.2]

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Sample Ques ti ons AP Physics 1 andAP Physics2 E x a m

1000

1 : - 2000;3000

2. The figureaboveshows three resistorsconnected in acircuit witha battery.Whichof thefollowing correctly rankstheenergy Edissipated in the three resistors duringagiven timeinterval?(A) Ema”?2000>Emn(B) 15300“ > Elm> 1:")000

(C) Emon> 13300‘) > E“m(D) 1:“:mm > E > E[m soon

Answer: C

TargetedLearning Objectivee:LearningObjective (5.3.9.3):The student is able to apply oonaervation of,energy (Kirchhoff'a looprule) in calculationa involving the total electric potentialdifference forcomplete circuit loopewithonly aainglebattery andmaiatora in eerieeand/or in, atmeet, one parallel Month. [SeeSciencePractices2.2,6.4, and 12]LearningObjective (5.0.3.1):Theetudent ia ableto applyconservation of electric charge (Kirahhoff‘ajunction rule) to the compariaon of electric current in various aegmenta of an electrical circuit withaaingle batteryand reaiatora in eeriea and in, at meet,one parallel brand: and predia how thoeevaluea would change if configurations of the circuit are changed. [SeaScience Practicea6.4and 7.2]

3. A persondrivingacar suddenlyappliesthe brakes.Thecar takes4sto come to rest whiletraveling20matconstant acceleration.Can thespeedof the car immediately beforethe brakeswere appliedbedeterminedwithout first determiningthecar's acceleration?(A ) Yes,bydividingthe distance(20m)bythe time (4 s).(B) Yes, bydeterminingthe averagespeed while brakinganddoubling i t.(C) No,because theacceleration isneeded to use standardequations such asAx= vat + at 1.(D) No,because the fundamental relationship that definesvelocity contains acceleration.Answer:8

Targeted LearningObiectivee:LearningObiectiveR A ” ) :The dudent isable to expreee themotionof an object uaing narrative,mathematical. andgraphical repreaentationa. [See SdencePracticea1.5.2.1,and 2.2]LearningObjective (41.2.1) : Theetudent ia able to makepredictiona about themotion of a ayatembaaedon the fact that moderationia equal to thechange in velocity perunitfine. andvelocity iaequal to the dunge in poaition per unit time. [SeeScience Practice6.4]

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Sample Ques t i ons AP Physics 1 andAP Physics 2 E x a m

. While travelingin i tsellipticalorbit aroundthe Sun,Mars gains speedduringthepart of theorbit whereit isgettingcloser to the Sun.Which ofthe followingcanbeused toexplain thisgainin speed?

(A) AsMarsgets closer to the Sun, the Mars‐Sunsystem losespotential energy andMars gainskineticenergy.

(B) Acomponent of the gravitational forceexertedonMarsisperpendicular to thedirectionof motion, causinganacceleration andhenceagain in speedalong that direction.

(C) The torqueexerted on Mars by the Sunduringthis segment of the orbit increases theMars‐Sunsystem’sangular momentum.

(D ) Thecentripetal forceexertedonMars isgreater thanthegravitational force duringthissegmentof theorbit, causingMarsto gain speedas it gets closer to the Sun.

Answer: A

Targeted learningObieetivee:LearningObjective(3.8.1.1): The student ie ableto predict themotion of an objectaubiect to forcesexerted by eeveral objects ueinganapplication at Newton'ssecond law in a variety of physicalaituetiona with acceleration in onedirneneion. (See SciencePracticee 6.4and7.2]LearningObjective (2.5.1.1): The student ieable to make predictione aboutthechanges in kineticenergy of anobject bleed on coneiderationeof thedirection of the net force on theobiect aetheobjectmovee. [SeeScience Practices 6A and12)LearningObjective (4.6.2.1): Theatudent is able to makepredictions about the dances in themechanical energy of a ayetemwhen acomponent of an external force acts parallelor entiperallelto thedirection of the diaplaeement of the center of rneaa. [SeeSciencePractice6.4)LearningObjective (5.8.4.1): Theatudent is able to describeand make prediaione about the internalenergy of eyatema. [See SciencePrecticee6.4and 7.2)Learning Objective (5.6.2.1):Thestudent is able to deaen'beor caluiletethe angular momentumand rotational inertia of a eyetem in terrne of the locationa end velocitiea of objects thatmakeup theayatem.Studentaare ex pec h to do qualitative reasoningwith compound objeda. Students areexpected to do calculation with a fixed eet of extendedobjects and pointmaeeee. [See SciencePumice2.2]

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Sample Ques ti ons AP Physics 1 andAP Physics 2 E x a m

S. The graphsabove represent the positionx, velocity v,andaccelerationaasafunction of timet for amarblemovingin onedimension.Whichof the followingcould describe the motionofthemarble?(A) Rollingalong thefloor and thenbouncingoffawall(B) Rollingdownonesideofabowland thenrollingupthe other side(C) Rollinguparampandthen rollingback down(D) Fallingand thenbouncingelastimllyoffahardfloorAnswer:C

T e r mLaminaLearningObiecfive (3A.1.1):Thestudent is ableto expreee themotionof en objectueino nerretive.mathemeticel, andgraphical repreeermtione. [See Science Prectieee15,2.1. end 2.2]

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Sample Ques ti ons AP Physics 1 a n dAP Pby s i a2 Exams

Multi‐Correct: Students needtoselect all thecor rect answers tothe question below inorder toearn credit.

. A racecar goingaroundaflat. unbankedcircular trackgradually increases speedasitcompletes one full trip aroundthe track.Whichof the followingcan explainwhy the car gainsspeed?(A ) Energystored in the fuel is converted to mechanicalenergy.(B) Acomponent of the frictionalforceexertedbytheground onthe tires isdirected toward

the center of the circle.(C) Acomponent ofthe frictional forceexertedbythe ground onthe tires is in thedirection of

motion.

(D) The car'svelocity andaccelerationare perpendicular.Answer: A andC

Tam-tedLearningLearningObjective (3.E.1.1):The student iaable to make predictionsabout thechanges in kineticenergy of anobjeabandonconsiderationof the direction ofthe net forceon theobject astheobjectmovee. [SeeSciencePractices6.4 and12]LeaningObjective(3.5.1.2): Thestudent isable to t ree net forceand velocity vectora to determinequalitativelywhether kinetic energy of an objectwould increase.decrease.or remain unchanged.[SeeScience Practice 1.4]LearningObjective (4.0.2.1):Thestudent is able to make predictionsabout the dungee in themechanical energy of a eyetemwhen a component of anexternal force ecu parallelor antiparellelto the direaion of the diaphoement of the center of maae. [SeeScience Practice6.4]

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Sample Questi ons AP Physics 1 and AP Pbys i m2 E x a m

_Sample Free-Response Questions

DUE1. Youare given a set of chimesthat consists of eight hollowmetal tubes open atboth ends,

asshown above.The chimesare playedbystriking them with asmall hammerto producemusicalsounds.Your task is to use the chimes todetermine the speedof sound in airat roomtemperature. Youhave availableaset of tuning forksandother commonlaboratory equipmentbut are not allowedto useelectronic equipment, suchasasound sensor. (A tuningforkvibrates whenstmck andproduces sound ataparticular frequency,which isprintedon thetuning fork.)

Experimental Design

(a) Describeyour experimentalprocedure in enoughdetail sothatanother studentcouldperformyour experiment.Includewhat measurements you will take andhowyou will takethem.

(b) Describehowyouwill use your measurements to determine thespeed of sound. in enoughdetail that another student couldduplicate yourprocess.

(c) Describeone assumption you madeabout the designof your experiment,andexplainhowit might affect the value obtainedfor thespeedof sound.

(d) A student doingadifferent experiment to determinethe speedof sound in air obtainedwavelengthand periodmeasurements andcreated the following plotof the data. Use thegraph to calculate the speed ofsoundandinclude anexplanationof your method.

0.0012

0.0010

0.00%

0.0006

0.0004

0.0002

o o5 of" o9 o? 0°?W m ( m )

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Sample Ques ti ons AP Physics 1and AP Physics2 E x a m

Tug-tadLeaningLearn'mgObjective(8.3.4.1): The student is able to design an experimentto determinetherelationshipbetweenperiodicwave speed,wavelength. and frequency and relatethese o om p t sto everyday examples. [SeeScience Pradieae4.2. 5.1,and 7.2]LearningObieetive(6.0.3.3): Thenudent is able to plandata collection strategies,predict theoutcome basedonthe relationshipundertest. performdata analysis,evaluate evidence comparedto the prediaion,explainany discrepancy and, if necessary, revisethe relationshipamongvariablesresponsiblefor establishing standingwaves on a string or in a column of air. [SeeSciencePractices3.2, 4.1,5.1. 5.2.and 5.3]

ShortAnswer

Hli‘x‘ % x.” ILOOm

More; Figure not dawn to scale.

2. A studentof mass50.0 kg swingsonaplaygroundswing,which is very lightcompared to thestudent. A friendreleases the seat of the swing fromrest at aheightof 1.00m abovethe lowestpoint of themotion. Thestudent swingsdown and, atthe lowestpoint of themotion,grabs ajug ofwater ofmass4.00 The jug isinitiallyatrest onasmall table right next tothe swing,soit does not movevertically asthestudentgrabs i t.Thestudent keepsswinging forwardwhile holding thejug,and the seat reaches amaximumheight Hlabove thelowestpoint. Airresistance and frictionarenegligible.(a) IndicatewhetherHl isgreater than,less than, or equal to 1.00m.

__ Greater than 1.00mLess than 1.00m

H m . . . Equalt o 1.00 m

lustify your answerqualitatively,with noequations or calculations.(b) ExplainhowHl can becalculated.You neednot actually dothecalculations, butprovide

complete instructionssothat another student could use them to calculateH1.(c) The student nowswingsbackward toward the starting point.At the lowest pointof the

moti on, the student drops the water jug. Indicatewhether the newmaximum height thatthe seat reaches is greater than, lessthan, or equal to H1.

Greater thanHILess thanH‘

__ EqualtoH lJustify your answer.

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Sample Ques t i ons AP Physics 1 andAP Physics 2 E x a m

Targeted learningLearningObjective (5.3.4.2): The student is able to calculatedtangee in kineticenergy and potentialenergy of a system, using information from repreeentatione of that e y ‘ e m . [SeeSciencePractices1.4,2.1.and2.2]LearningObjective (5.0.1.3): The student isable to apply mathematical routines appropriately toproblems involvingelastic collisions in one dimension and justify the selectionof those mathematicalroutines based on conservationof momentum and restorationof kineticenergy. [See SciencePradioes2.1 and2.2]LearningObiective (5.0.2.1):Thestudem isable to qualitatively predict, in t e rm : of linear momentumandkinetic energy, how theoutcome of a collisionbetween two objects changes depending onwhether thecollision is elasticor inelastic (SeeScience Practices6.4and 12]LearningObjective (5.0.2.3):Thestudent ia‘ableto apply theconservation of linear momentum ,to a closed eyeternof objects involved in an inelasticcollision to predict thediange in kineticenergy.[See Science Practices8.4 and7.2]

LearningObjective (5.0.2.5):Theetudent is able to classify a givencolliaion situation as elastic orinelaeu'c.justify theselectionofconeervationof linearmomentum asthe appropriate aolun'onmethodfor aninelasticcollision.recognia that there isacommonfinal velocity for thecolliding objectsin the totally inelasticcase, solve for miaaingvariables, end calculatetheir values. [See SciencePractices2.1and2.2]

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