hyslcs 71.1 8evlew Culdellnes Sample exam Culdellnes ! #$ % &&'()*+(, #- ./0*1 %2!3&& NATIONAL INSTITUTE OF PHYSICS COLLEGE OF SCIENCE University of the Philippines Diliman, Quezon City 1101 Metro-Manila Physics 71.1 Course Group Guidelines 2nd Semester 2014-2015 A.Class Schedules 1.Below is the list of Instructors assigned in rooms F106 and F108: TuesdayWednesdayThursdayFriday F106F108F106F108F106F108F106F108 8:00- 10:00De Los ReyesTarunDe Los ReyesZosaNaygaDe Los ReyesEscotoBunao 10:00- 12:00PedemonteTarunPresbiteroBunaoPedemonteLamsenAlvarezBunao 1:00- 3:00LamsenEscotoAlvarezEscotoLamsenEscotoAlvarezTarun 3:00- 5:00------Presbitero--------------- 2.Below is the corresponding activity/experiment for each class: DateRoom F106Room F108 Jan. 20-23OrientationOrientation Jan. 27-30MUDMUD Feb. 3-6Measuring DevicesGraphical Analysis Feb. 10-13Graphical AnalysisMeasuring Devices Feb. 17-20Addition of VectorsUALM (Ball and Picket Fence)* Feb. 24-27UALM (Ball and Picket Fence)*Addition of Vectors March 3-6Projectile Motion*Static Equilibrium March 10-13Static EquilibriumProjectile Motion* March 17-20Buoyancy++Sound* March 24-27Sound*Buoyancy++ March 31- April 3SHM*Rotation* April 7- 10Rotation*SHM* April 14-17Make up ExperimentsAssessment and Reflection April 21- 24Assessment and ReflectionMake up Experiments April 28- May 1------ May 5- 8------ May 12-15Departmental ExamDepartmental Exam B.Guidelines in Handling Laboratory Classes 1.Discuss the syllabus in detail during the course orientation. Course guidelines, laboratory protocols, pre-lab and worksheet guidelines should be strictly followed. 2.Start and end the class on time. 3.Collect the pre-lab activity sheet BEFORE proceeding with the activity/experiment. 4.Make sure to discuss parts of the activity/experiment procedures that need emphasis. 5.Constantly check the students data if it follows expected results to prevent students from falsifying data/results. 6.Make sure to sign the students worksheet before dismissing the class. Signing the worksheet confirms the attendance of the student. 7.Make sure that all materials are properly returned to F107 before leaving the room. 8.Do not forget to erase the writings on the board as a sign of courtesy to the next users of the room. C.Grading System 1.The grading system written in the syllabus should be strictly followed. 2.In evaluating a worksheet, 60% of the score will come from data and calculations. The remaining 40% of the score will be based on answers to questions/graphs.3.5% of the students final grade will come from laboratory performance, attendance and quizzes. Laboratory performance may include recitation, self-, group mates, and teachers evaluation of the students performance, etc. It is the instructors prerogative when to give quizzes but it is recommended that the quizzes will be of the same format as that of the departmental exam so students will get used to it. This may also include home work D.Departmental Examination Guidelines 1. The exam consists of 9 stations: (1) MUD and Measuring Devices; (2) Adding Vectors; (3) UALM;(4) Graphical Analysis and Projectile Motion; (5) Static Equilibrium; (6) Sound; (7) SHM;(8) Buoyancy; (9) Rotation. ! #$ ! %%&'()*'+ #, -./)0 !123%% 2.Each station consists of 3 multiple-choice questions that should be answered in 6 minutes. There should be 4 choices for each question.3.Each station must contain an instruction sheet where the questions, materials, procedures, data tables and point system are written. 4.Instructions in each station are not limited to procedures introduced in class. It may be a modification of activities/experiments performed in class or it may be an entirely new activity/experiment that is not performed in class but directly applies the concepts/skills learned in class. 5.Below is the Instructor(s) assigned to provide questions in each station: InstructorTopic EscotoMUD& Measuring Devices Pedemonte, Bunao, Adding Vectors BendicioUALM AlvarezGraphical Analysis & Projectile Motion De Los ReyesStatic Equilibrium TarunSound LamsenSHM PresbiteroBuoyancy NaygaRotation 6.Instructor(s) assigned in each station must provide a complete solution to all questions during exam discussion. E.Departmental Examination Duties and Responsibilities 1.Call for questions (preferably set on a Friday) should be at least 4 weeks before the exam date. 2.Deadline of questions is set 2 weeks after the call for questions. Submission is done via QDB. 3.Exam discussion is set on the first Monday (preferably in the morning) after the deadline of questions. 4.Question revisions should be completed on the last WEDNESDAY before the exam week. 5.Station set-up is set on the last FRIDAY before the exam week. 6.Pilot testing is done by the instructor assigned to his/her station on the day before the practical exam. 7.All stations will be kept for another week after the exam week. Students who missed the exam due to valid reason(s) may take the make-up exam during the said week. 8.Clean-up is set immediately after the make-up exam week. Dates to Remember: Call for Questions Deadline of Questions Exam DiscussionSet- upClean-up Exam (May 12-15)April 17 (Fri)May 4 (Mon)May 4 (Mon)May 8 (Fri)May 26 (Mon.) On Exam drafting: The course group leader takes the responsibility of being Drafter 1. Drafter 1:(1) should make the call for questions. (2) should compile the exam questions before the exam discussion. (3) should provide each Instructor copies of the answer sheet. (4) should proofread the final instruction sheet per station ensuring that all questions are clearly stated and all materials written in the instruction sheet are available in the station. (5) should facilitate the exam discussion. Drafter 2: (1) should note of the revisions needed in each question during exam discussion. (2) should ensure that the revisions asked during exam discussion was revised by the Instructor(s). (3) should print the final copy of the instruction sheet per station. (4) should provide the answer key of the exam. All: (1) should get his/her final station instruction sheet from drafter 2. (2) should set-up his/her station making sure that the instruction sheet is secured. (3) should provide drafter 2 with his/her answers. (4) should clean his/her station after the make-up exam week. Instructor Drafter 1Alvarez Drafter 2Nayga ! #$ ! %%&'()*'+ #, -./)0 !123%% 2.Each station consists of 3 multiple-choice questions that should be answered in 6 minutes. There should be 4 choices for each question.3.Each station must contain an instruction sheet where the questions, materials, procedures, data tables and point system are written. 4.Instructions in each station are not limited to procedures introduced in class. It may be a modification of activities/experiments performed in class or it may be an entirely new activity/experiment that is not performed in class but directly applies the concepts/skills learned in class. 5.Below is the Instructor(s) assigned to provide questions in each station: InstructorTopic EscotoMUD& Measuring Devices Pedemonte, Bunao, Adding Vectors BendicioUALM AlvarezGraphical Analysis & Projectile Motion De Los ReyesStatic Equilibrium TarunSound LamsenSHM PresbiteroBuoyancy NaygaRotation 6.Instructor(s) assigned in each station must provide a complete solution to all questions during exam discussion. E.Departmental Examination Duties and Responsibilities 1.Call for questions (preferably set on a Friday) should be at least 4 weeks before the exam date. 2.Deadline of questions is set 2 weeks after the call for questions. Submission is done via QDB. 3.Exam discussion is set on the first Monday (preferably in the morning) after the deadline of questions. 4.Question revisions should be completed on the last WEDNESDAY before the exam week. 5.Station set-up is set on the last FRIDAY before the exam week. 6.Pilot testing is done by the instructor assigned to his/her station on the day before the practical exam. 7.All stations will be kept for another week after the exam week. Students who missed the exam due to valid reason(s) may take the make-up exam during the said week. 8.Clean-up is set immediately after the make-up exam week. Dates to Remember: Call for Questions Deadline of Questions Exam DiscussionSet- upClean-up Exam (May 12-15)April 17 (Fri)May 4 (Mon)May 4 (Mon)May 8 (Fri)May 26 (Mon.) On Exam drafting: The course group leader takes the responsibility of being Drafter 1. Drafter 1:(1) should make the call for questions. (2) should compile the exam questions before the exam discussion. (3) should provide each Instructor copies of the answer sheet. (4) should proofread the final instruction sheet per station ensuring that all questions are clearly stated and all materials written in the instruction sheet are available in the station. (5) should facilitate the exam discussion. Drafter 2: (1) should note of the revisions needed in each question during exam discussion. (2) should ensure that the revisions asked during exam discussion was revised by the Instructor(s). (3) should print the final copy of the instruction sheet per station. (4) should provide the answer key of the exam. All: (1) should get his/her final station instruction sheet from drafter 2. (2) should set-up his/her station making sure that the instruction sheet is secured. (3) should provide drafter 2 with his/her answers. (4) should clean his/her station after the make-up exam week. Instructor Drafter 1Alvarez Drafter 2Nayga ! #$ ! %%&'()*'+ #, -./)0 !123%% 2.Each station consists of 3 multiple-choice questions that should be answered in 6 minutes. There should be 4 choices for each question.3.Each station must contain an instruction sheet where the questions, materials, procedures, data tables and point system are written. 4.Instructions in each station are not limited to procedures introduced in class. It may be a modification of activities/experiments performed in class or it may be an entirely new activity/experiment that is not performed in class but directly applies the concepts/skills learned in class. 5.Below is the Instructor(s) assigned to provide questions in each station: InstructorTopic EscotoMUD& Measuring Devices Pedemonte, Bunao, Adding Vectors BendicioUALM AlvarezGraphical Analysis & Projectile Motion De Los ReyesStatic Equilibrium TarunSound LamsenSHM PresbiteroBuoyancy NaygaRotation 6.Instructor(s) assigned in each station must provide a complete solution to all questions during exam discussion. E.Departmental Examination Duties and Responsibilities 1.Call for questions (preferably set on a Friday) should be at least 4 weeks before the exam date. 2.Deadline of questions is set 2 weeks after the call for questions. Submission is done via QDB. 3.Exam discussion is set on the first Monday (preferably in the morning) after the deadline of questions. 4.Question revisions should be completed on the last WEDNESDAY before the exam week. 5.Station set-up is set on the last FRIDAY before the exam week. 6.Pilot testing is done by the instructor assigned to his/her station on the day before the practical exam. 7.All stations will be kept for another week after the exam week. Students who missed the exam due to valid reason(s) may take the make-up exam during the said week. 8.Clean-up is set immediately after the make-up exam week. Dates to Remember: Call for Questions Deadline of Questions Exam DiscussionSet- upClean-up Exam (May 12-15)April 17 (Fri)May 4 (Mon)May 4 (Mon)May 8 (Fri)May 26 (Mon.) On Exam drafting: The course group leader takes the responsibility of being Drafter 1. Drafter 1:(1) should make the call for questions. (2) should compile the exam questions before the exam discussion. (3) should provide each Instructor copies of the answer sheet. (4) should proofread the final instruction sheet per station ensuring that all questions are clearly stated and all materials written in the instruction sheet are available in the station. (5) should facilitate the exam discussion. Drafter 2: (1) should note of the revisions needed in each question during exam discussion. (2) should ensure that the revisions asked during exam discussion was revised by the Instructor(s). (3) should print the final copy of the instruction sheet per station. (4) should provide the answer key of the exam. All: (1) should get his/her final station instruction sheet from drafter 2. (2) should set-up his/her station making sure that the instruction sheet is secured. (3) should provide drafter 2 with his/her answers. (4) should clean his/her station after the make-up exam week. Instructor Drafter 1Alvarez Drafter 2Nayga Muu Physics 71.1 Practical ExamStation: MUD and Graphical Analysis Room: F106 Set: BWARNING: Do not write anything on this questionnaire.1. Reverse Engineering. What is the value of the following mathematical operation :1.23 45.6/789 + 10 11.12/131415if the value is rounded to the correct number of signicant digits?A. 1B. 1.2C. 1.17D. 1.173E. 1.172282. Tax. The ve highest individual tax-payers in the Philippines for 2011 aregiven at the table on the right. Whichof the following represent the best es-timateforthetaxpaidbytheseveindividuals in millions of pesos?Name Tax (in million pesos)Kris Aquino 49.9Gregory Reichow 38.2Lauro Baja Jr 34.3Manuel Pangilinan 26.0Aurelio Montinola III 24.5A. 35 10.B. 34.6 10.1C. 34.6 15.3D. 34.58 10.08E. 34.58 15.323. INC Circle. In your projectile motion experiment, you obtain an equation for the vertical(y) vs horizontal (x) position of the form: y=a + bx cx2, where a, b, c are constants.Which of the following is a linear graph?A. y vs xB. y vs x2C. y vs a cx2D. y vs a + bxE. y vs (x b2c)24. 2ndPolate. Galaxies expandingwithrecessionvelocity v at appar-ent distance r obeys the Hubble Law:v=Hr where H is the Hubble con-stant. Forindividualgalaxiesintheuniverse, theexperimental plot of rvsvis shown at the right. How faris a galaxy in the constellation Virgoif it has a recession velocity of 1200km/s?A. 4.8 1023[m]B. 1.0 1022[m]C. 4.0 1017[m]D. 3.0 1015[m]E. 2.5 1018[m]Muu 1hls ls Lhe same problem from your Muu worksheeL. 1.23 45.6789+ 10 11.12121416= 1.23 0.0577594676... + 0.000846174... (1)= 1.173086707... (2)= 1.17 (3)Craphlcal Analysls Physics 71.1 Practical ExamStation: MUD and Graphical Analysis Room: F106 Set: BWARNING: Do not write anything on this questionnaire.1. Reverse Engineering. What is the value of the following mathematical operation :1.23 45.6/789 + 10 11.12/131415if the value is rounded to the correct number of signicant digits?A. 1B. 1.2C. 1.17D. 1.173E. 1.172282. Tax. The ve highest individual tax-payers in the Philippines for 2011 aregiven at the table on the right. Whichof the following represent the best es-timateforthetaxpaidbytheseveindividuals in millions of pesos?Name Tax (in million pesos)Kris Aquino 49.9Gregory Reichow 38.2Lauro Baja Jr 34.3Manuel Pangilinan 26.0Aurelio Montinola III 24.5A. 35 10.B. 34.6 10.1C. 34.6 15.3D. 34.58 10.08E. 34.58 15.323. INC Circle. In your projectile motion experiment, you obtain an equation for the vertical(y) vs horizontal (x) position of the form: y=a + bx cx2, where a, b, c are constants.Which of the following is a linear graph?A. y vs xB. y vs x2C. y vs a cx2D. y vs a + bxE. y vs (x b2c)24. 2ndPolate. Galaxies expandingwithrecessionvelocity v at appar-ent distance r obeys the Hubble Law:v=Hr where H is the Hubble con-stant. Forindividualgalaxiesintheuniverse, theexperimental plot of rvsvis shown at the right. How faris a galaxy in the constellation Virgoif it has a recession velocity of 1200km/s?A. 4.8 1023[m]B. 1.0 1022[m]C. 4.0 1017[m]D. 3.0 1015[m]E. 2.5 1018[m]Craphlcal Analysls Solve by compleung Lhe square. So we have Lo ploL y vs. (x-b/2c)2. y = a + bx cx2(1)= cx2+ bx + a (2)= cx2bcx+ a (3)= cx2bcx +b24c2+ a +b24c(4)= cx b2c+ a +b24c(5)Craphlcal Analysls Physics 71.1 Practical ExamStation: MUD and Graphical Analysis Room: F106 Set: BWARNING: Do not write anything on this questionnaire.1. Reverse Engineering. What is the value of the following mathematical operation :1.23 45.6/789 + 10 11.12/131415if the value is rounded to the correct number of signicant digits?A. 1B. 1.2C. 1.17D. 1.173E. 1.172282. Tax. The ve highest individual tax-payers in the Philippines for 2011 aregiven at the table on the right. Whichof the following represent the best es-timateforthetaxpaidbytheseveindividuals in millions of pesos?Name Tax (in million pesos)Kris Aquino 49.9Gregory Reichow 38.2Lauro Baja Jr 34.3Manuel Pangilinan 26.0Aurelio Montinola III 24.5A. 35 10.B. 34.6 10.1C. 34.6 15.3D. 34.58 10.08E. 34.58 15.323. INC Circle. In your projectile motion experiment, you obtain an equation for the vertical(y) vs horizontal (x) position of the form: y=a + bx cx2, where a, b, c are constants.Which of the following is a linear graph?A. y vs xB. y vs x2C. y vs a cx2D. y vs a + bxE. y vs (x b2c)24. 2ndPolate. Galaxies expandingwithrecessionvelocity v at appar-ent distance r obeys the Hubble Law:v=Hr where H is the Hubble con-stant. Forindividualgalaxiesintheuniverse, theexperimental plot of rvsvis shown at the right. How faris a galaxy in the constellation Virgoif it has a recession velocity of 1200km/s?A. 4.8 1023[m]B. 1.0 1022[m]C. 4.0 1017[m]D. 3.0 1015[m]E. 2.5 1018[m]Craphlcal Analysls Warnlng 1he quesuon mlghL be awed. 1he !"#$%#&'() +,-'&$- and ./-0 +,-'&$- musL be of Lhe 1(2# +$%2 - llnear wlLh no lnLercepL. Anyway, leLs proceed Lo nd Lhe nearesL answer. y[1023m] = 4.0[10236s1] x[106m/s] + 0.1[1023m] (1)y[1023m] = 4.0[10236s1] (1.2)[106m/s] + 0.1[1023m] (2)= 4.8 1023m + 0.1[1023m] (3)Measurlng uevlces Physics 71.1 Practical ExamStation: Calipers Room: F106 Set: BWARNING: Do not write anything on this questionnaire.Consider the rectangular sheets of post-its. Take note of the labeled dimensions. That is, thelength ` and the diagonal c of the rectangular sheets, and the angle as labeled. Choose thebest (nearest) choice.21. Least Count. What is the least count of the Vernier Caliper?A. 0.20 [mm]B. 0.10 [mm]C. 0.05 [mm]D. 0.02 [mm]E. 0.01 [mm]22. Diagonal. Measurethediagonal coftherectangularpost-itsheetsusingtheVernierCaliper.A. 104.32 [mm]B. 91.16 [mm]C. 80.04 [mm]D. 79.50 [mm]E. 67.84 [mm]23. Sides. Measure the length ` of the rectangular post-it sheets using the Vernier Caliper.A. 107.84 [mm]B. 94.10 [mm]C. 89.62 [mm]D. 76.38 [mm]E. 61.00 [mm]24. Angle. Compute the angle as labeled in the post-its.A. 38.04B. 41.26C. 56.92D. 69.84E. 74.46Measurlng uevlces 8ecall Manual p.6 PILOTCOPYFORPILOTSECTIONSONLY Printed: August9,2014 COPYRIGHTEDMATERIALFigure3. MeasuringthelengthofatoycarusingaVerniercaliperWhenusingaVerniercaliper, theclampingmouthisadjusteduntil thereissucientpressuretokeep the object in place but not enough to deform it. The lock may be turned to prevent the clampingmouthfrommovingaftertheobjectbeingmeasuredisremoved.TheVerniercaliper, asshowninFigure3, hasamainscaleandaVernierscale(fractional scale).Themainscalehasaunitmarkof 1.00 mmwhichisfurtherdividedinto50divisionsintheVernierscale. The least count of the Vernier caliper is therefore 1.00 mm/50 = 0.02 mm with each unit mark intheVernierscaleequaltotheleastcount. Sincetheuncertaintyofadeviceishalfitsleastcount,theabsoluteuncertaintyoftheVerniercaliperis0.02 mm/2 = 0.01 mm.InreadingaVerniercalipermeasurement,wersttakethemainscalereadingbydeterminingthenumberinthemainscalethatisattheleftofthezeromarkoftheVernierscale. Thenwedeterminewhich line from the Vernier scale is most coincident with any main scale line. The number of divisions ofthe Vernier scale from the zero mark to this line multiplied by the least count determines the fractionalscalereading. ThesubjectivedeterminationofthemostcoincidentlineeliminatedtheestimatedscaleoftheVerniercaliper.The length of the toy car shown in Figure 3 as measured by the Vernier caliper is read by rst notingthat the main scale reading is 75.00 mm. The 15th Vernier scale line (the one with 3 as the label) is mostcoincident with a line from the main scale so the fractional scale reading is 150.02 mm = 0.30 mm. Thenalreadingisthesumofthemainscaleandthefractionalscalereadings,i.e.,75.00 mm+0.30 mm =75.30 mm. Thebestestimateofthelengthshouldthenbereportedas75.30 0.01 mm.MicrometercaliperA micrometercaliperis adevice usedtomeasure lengths less than2.55 cm. Its fractional scalereadingisestimatedusingascrewmechanism.A.PartsofamicrometercaliperThepartsofatypicalmicrometercaliper(Figure4)arethefollowing:6 c 2013LabmanualauthorsuALM Physics 71.1 Practical ExamStation: UALM Room: F106 Set: BWARNING: Do not write anything on this questionnaire.Considerthe set-upwhichconsists ofaballand aramp. Releasetheball fromrestalongthe ramp. Using a LabQuest and a motion detector, measure the balls position and velocitythrough time as it rolls down the ramp.Themeasurementsarebest performedwhentriggeringisenabled, thoughtheexperi-ment can still be performed properly even without it. To enable triggering, go to Sen-sors Data Collection Open the Triggering list Click the Enable Trig-gering checkbox Under Triggering options, choose/type in decreasing across1.000 m.29. Position. Which of the following lines/curves as seen from the Labquest best depicts theshape of the position vs. time plot as the ball slides down the ramp?A. B. C. D. E.30. Velocity. Which of the following lines/curves as seen from the Labquest best depicts theshape of the velocity vs. time plot as the ball slides down the ramp?A. B. C. D. E.31. Accleration1. Use a linear t on the velocity vs. time plot. Which among these ranges isthe acceleration of the ball during this interval closest to?A. 0.6-0.9 ms2B. 1.2-2.0 ms2C. 2.5-3.5 ms2D. 5.0-9.5 ms2E. 10.0-20.0 ms232. Acceleration2. Use a quadratic t on the position vs. time plot. Which among thesevalues is the acceleration of the ball during this interval closest to?A. 0.6-0.9 ms2B. 1.2-2.0 ms2C. 2.5-3.5 ms2D. 5.0-9.5 ms2E. 10.0-20.0 ms2uALM noLe: ball on a ramp = unlformly acceleraLed mouon. lnlual condluon: y(0) = y0, v(0)=0 [released]. Accelerauon ls downward (mouon sensor aL Lhe ground). 1hus, ! osluon vs. ume :Palf parabola, concave downward ! veloclLy vs. ume:llnear, negauve slope ro[ecule Mouon Physics 71.1 Practical ExamStation: Projectile Motion and COE Room: F106 Set: BWARNING: Do not write anything on this questionnaire.9. UP. A ball was launched from a ramp with initial height Y0 = 0.30 [m] at an angle of 35.00with an initial velocity of about 3.00hmsiand lands on a at surface which is 0.25 [m] away.What is the elevation of the surface where the ball has landed?A. 0.31 [m]B. 0.38 [m]C. 0.45 [m]D. 0.62 [m]E. 0.76 [m]10. Projectile range. A ball was launched from a ramp with an initial height Y0=0.30 [m]at an angle of 35.00 with an initial velocity of about 3.00hmsi and lands on a at surfacewhich is elevated to 0.70 [m]. How far did the ball travel (range)?A. 1.2 [m]B. 0.40 [m]C. 0.21 [m]D. 0.12 [m]E. 0.04 [m]11. GO FAST.A ball was released from rest on a ramp at a height of h=0.6 [m] above theground. The ball then rolls without slipping as it slides down the ramp until it leaves in ahorizontal direction and at a distance Y0 = 0.200 [m] from the ground. Assuming that thereare no dissipative forces, how fast was the ball going when it left the ramp?A. 1.98hmsiB. 2.37hmsiC. 2.81hmsiD. 3.43hmsiE. 5.61hmsi12. Treasure. From the setup, at which point should the ball be released for it to hit the marklabeled as X (only the white part)?A. A B. B C. C D. D E. Ero[ecule Mouon ulrecL use of equauon (8) ln Lhe manual. ulrecL subsuLuuon ylelds: 0.42434.m PILOTCOPYFORPILOTSECTIONSONLY Printed: August19,2014 COPYRIGHTEDMATERIALwhere ax, vx, v0x, xandx0are the acceleration, velocity, initial velocity, displacement andinitialdisplacementoftheprojectilealongthehorizontaldirection,respectively.Thepathoftheprojectilecanbedeterminedbyeliminatingthetimecomponentfromtheseequa-tions. Decomposingtheinitialvelocity ~v0as ~v0= v0xi + v0yj,wecanshowthaty= y0 + x tan g2v20 cos2x2, (8)where = tan1(v0y/v0x). Thepathoftheprojectileisparabolicopeningdownward[3].Whenaprojectileislaunchedfromalevel surface, thenal (vertical)positionisthesameastheinitialposition(y= y0). Forthiscase,therangeoftheprojectileRis:R =v20 sin 2g. (9)MaterialsVernierprojectilelauncherLevelMetalballSafetygogglesMeterstickormeasuringtapeRulerCarbonpaperCleansheetofpaperMaskingtapeVerticalwoodenblockLandingareaFigure1. VernierprojectilelauncherwithalevelProcedureCAUTION:Donothitanyonewiththeprojectile.Usesafetygogglestoprotectyoureyes.A.Usingtheprojectilelauncher1. PositiontheVernier projectilelauncher (Figure1) ontopof ahorizontal surface. Securethelaunchersothatitcannotbemovedthroughouttheexperiment.2. Placethelevelontopofthelaunchchamber.3. Unlock the lower knobat the back of the launcher. Rotate the launchchamber untilhorizontallyleveledthensecuretheknob.4 c 2013Labmanualauthorsro[ecule Mouon Physics 71.1 Practical ExamStation: Projectile Motion and COE Room: F106 Set: BWARNING: Do not write anything on this questionnaire.9. UP. A ball was launched from a ramp with initial height Y0 = 0.30 [m] at an angle of 35.00with an initial velocity of about 3.00hmsiand lands on a at surface which is 0.25 [m] away.What is the elevation of the surface where the ball has landed?A. 0.31 [m]B. 0.38 [m]C. 0.45 [m]D. 0.62 [m]E. 0.76 [m]10. Projectile range. A ball was launched from a ramp with an initial height Y0=0.30 [m]at an angle of 35.00 with an initial velocity of about 3.00hmsi and lands on a at surfacewhich is elevated to 0.70 [m]. How far did the ball travel (range)?A. 1.2 [m]B. 0.40 [m]C. 0.21 [m]D. 0.12 [m]E. 0.04 [m]11. GO FAST.A ball was released from rest on a ramp at a height of h=0.6 [m] above theground. The ball then rolls without slipping as it slides down the ramp until it leaves in ahorizontal direction and at a distance Y0 = 0.200 [m] from the ground. Assuming that thereare no dissipative forces, how fast was the ball going when it left the ramp?A. 1.98hmsiB. 2.37hmsiC. 2.81hmsiD. 3.43hmsiE. 5.61hmsi12. Treasure. From the setup, at which point should the ball be released for it to hit the marklabeled as X (only the white part)?A. A B. B C. C D. D E. Ero[ecule Mouon A varlanL of Lhe prevlous quesuon. use Lhe same formula, buL solve for x - quadrauc formula. Warnlng: 1he range formula ls noL appllcable! PILOTCOPYFORPILOTSECTIONSONLY Printed: August19,2014 COPYRIGHTEDMATERIALwhere ax, vx, v0x, xandx0are the acceleration, velocity, initial velocity, displacement andinitialdisplacementoftheprojectilealongthehorizontaldirection,respectively.Thepathoftheprojectilecanbedeterminedbyeliminatingthetimecomponentfromtheseequa-tions. Decomposingtheinitialvelocity ~v0as ~v0= v0xi + v0yj,wecanshowthaty= y0 + x tan g2v20 cos2x2, (8)where = tan1(v0y/v0x). Thepathoftheprojectileisparabolicopeningdownward[3].Whenaprojectileislaunchedfromalevel surface, thenal (vertical)positionisthesameastheinitialposition(y= y0). Forthiscase,therangeoftheprojectileRis:R =v20 sin 2g. (9)MaterialsVernierprojectilelauncherLevelMetalballSafetygogglesMeterstickormeasuringtapeRulerCarbonpaperCleansheetofpaperMaskingtapeVerticalwoodenblockLandingareaFigure1. VernierprojectilelauncherwithalevelProcedureCAUTION:Donothitanyonewiththeprojectile.Usesafetygogglestoprotectyoureyes.A.Usingtheprojectilelauncher1. PositiontheVernier projectilelauncher (Figure1) ontopof ahorizontal surface. Securethelaunchersothatitcannotbemovedthroughouttheexperiment.2. Placethelevelontopofthelaunchchamber.3. Unlock the lower knobat the back of the launcher. Rotate the launchchamber untilhorizontallyleveledthensecuretheknob.4 c 2013LabmanualauthorsSound Physics 71.1 Practical ExamStation: Sound Room: F106 Set: BWARNING: Do not write anything on this questionnaire.13. Beat frequency. If you simultaneously strike two tuning forks having frequencies of 305and 315 [Hz] respectively, what would be the beat frequency?A. 620 [Hz]B. 615 [Hz]C. 20. [Hz]D. 5.0 [Hz]E. 10. [Hz]For the next two questions, refer to the gure below:14. Tuning fork1. Suppose you obtained the graph above representing the sound waves pro-duced by a tuning fork. Calculate its frequency.A. 428 [Hz]B. 455 [Hz]C. 96 [Hz]D. 285 [Hz]E. 326 [Hz]Sound See manual: 1hus, Lhe beaL frequency ls 10 Pz . PILOTCOPYCOPYRIGHTEDMATERIAL Printed: August24,2014 FORPILOTSECTIONSONLYC.BeatWhentwoormoresoundwavesarepresent, thesoundperceivedisthesumof all thesewaves. Theadditionoftwoormoresoundwavesiscalledinterference. Considertwosoundwaveshavingangularfrequencies1and2,frequenciesf1andf2,andsamepressureamplitudeP0[4]:P1=P0 sin(1t)P2=P0 sin(2t). (10)Theinterferenceof thesetwowavesisjustthesumof thesetwofunctions. Wecansimplifythisbyusingthegeometricidentitysin(1t) + sin(2t) = 2 sin1 +22t

cos122t

. (11)Theresultingsoundwaveisthus,P= P1 + P2= 2P0 sin1 +22t

cos122t

. (12)Theresultingmeasuredsoundwave(Figure2)isawavehavinganamplitudethatvariesintimeand shifted upwards by the background sound pressure. We can see this from Equation (12),which wecanrewriteasP=P sin1 +22t

, (13)whereP= 2P0 cos122

tisthetime-dependentamplitudeoftheresultingwave. Thebeatpatternisawavepatternof frequencyfave=12(f1+ f2)whoseamplitudevarieswithaperiodof Tbeat, andisperceivedasaperiodicchangeinloudness, knownasbeats. Thefrequencyfbeatof thechangeinloudnessisfbeat= |f1f2| , (14)whichcanbeexperimentallydeterminedbymeasuringtheperiodof thebeatpatternandusingthedenitionfbeat=1Tbeat. (15)Humanscandetectuptoabout15to20beatspersecondonly[4]. Beyondthis, theuctuationsinloudnesswouldbetoorapidtobedistinguished.Figure2. Beatpatternc 2013Labmanualauthors 5Addluon of vecLors Physics 71.1 Practical ExamStation: Vectors and Force Table Room: F106 Set: BWARNING: Do not write anything on this questionnaire.Strings A, B and C are set in the force table. Masses A and B, weighing0.25 [N] and0.50 [N] respectively, are suspended on the strings. String A with six MB is placed at 0,while string B with seventeen MB and one MA is placed at 55.25. Wherelalooo. Where is the resultant force due to String A and String B located?A. 33B. 42C. 48D. 57E. 7126. Ilan? If the system is in equilibrium, what is the weight suspended at string C?A. 10.76 [N]B. 10.32 [N]C. 5.26 [N]D. 1.10 [N]E. 0.526 [N]For the next two questions, refer to the systemwherein string B is placed at90, as shown inthe gure at the right.27. Eh Nasaan? Where is the string C located?A. 251B. 242C. 228D. 221E. 21328. Alin? Which of the following mass combinations in string C WILL NOT keep the systemin equilibrium ?A. 3 MA and 17 MBB. 7 MA and 15 MBC. 9 MA and 12 MBD. 17MA and 10 MBE. 21MA and 8 MBPhysics 71.1 Practical ExamStation: Vectors and Force Table Room: F106 Set: BWARNING: Do not write anything on this questionnaire.Strings A, B and C are set in the force table. Masses A and B, weighing0.25 [N] and0.50 [N] respectively, are suspended on the strings. String A with six MB is placed at 0,while string B with seventeen MB and one MA is placed at 55.25. Wherelalooo. Where is the resultant force due to String A and String B located?A. 33B. 42C. 48D. 57E. 7126. Ilan? If the system is in equilibrium, what is the weight suspended at string C?A. 10.76 [N]B. 10.32 [N]C. 5.26 [N]D. 1.10 [N]E. 0.526 [N]For the next two questions, refer to the systemwherein string B is placed at90, as shown inthe gure at the right.27. Eh Nasaan? Where is the string C located?A. 251B. 242C. 228D. 221E. 21328. Alin? Which of the following mass combinations in string C WILL NOT keep the systemin equilibrium ?A. 3 MA and 17 MBB. 7 MA and 15 MBC. 9 MA and 12 MBD. 17MA and 10 MBE. 21MA and 8 MBAddluon of vecLors uraw Lhe sysLem: 33 6M8 = 3 n 17 M8 + MA = 8.73 n Addluon of vecLors Solve by any of Lhe meLhods glven ln Lhe manual 33 6M8 = 3 n 17 M8 + MA = 8.73 n ? Addluon of vecLors Carry over unrounded values! |Fres| =p32+ 8.752+ (3)(8.75) cos(55)N (1)= 10.0308963...N (2)(3) = sin18.75Fressin(18055)(4)= 45.6063...(5)= 46(6)CLher Cuesuons LxperlmenLal/measuremenL exerclse/LesL. Make sure Lo read Lhe lnsLrucuons carefully. 8ecall whaL we dld ln Lhe Lab, recall Lhe Lechnlques. 8evlew olnLers Muu 8ule of Lhumb. 8elauve devlauon ln noL necessarlly 1 slg. g. nor always ln percenL form. ConverL unlLs Lo be conslsLenL. lor Aq, mln(q) = - Aq, max(q) = + Aq uslng Lhe reporLed values of and Aq. Lrror propagauon ln calculauons. 8evlew olnLers Measurlng uevlces LeasL counL and uncerLalnLy of devlces. Pow Lo use Lhe callpers. Agaln, error propagauon 8evlew olnLers uALM 8ecall Lhe shape of Lhe graphs. Pow Lo geL Lhe value of g from Lhe curve-mng equauon. 8evlew olnLers Addluon of vecLors uraw Lhe vecLors Lo vlsuallze Lhe problem. use prlnclples ln geomeLry. 8evlew olnLers ro[ecule Mouon 8ecall how Lo compuLe elevauon of LargeL, range aL equal and unequal levels, and angles. 1here ls only one equauon here, Lhe oLher equauon can be derlved from lL. Someumes, you can easlly compuLe Lhlngs when uslng your baslc klnemauc equauons. 8evlew olnLers SLauc Lqulllbrlum uraw Lhe seLup conslsLenLly lace Lhe welghLs and Lhe cenLer of mass noL Loo near Lo Lhe plvoL. Choose a conslsLenL zero or reference polnL ln Lhe bar. 8evlew olnLers 8uoyancy 8ecall how Lo measure denslues of ulds.noLe Lhe advanLages of waLer dlsplacemenL meLhod. 8e careful ln calculauons esp. unlL converslons. 8evlew olnLers Sound WhaL ls Lhe Lheoreucal expresslon of speed of sound ln Lhe alr? See manual eq. (2). Cycle counung, compuung frequency, perlod, beaL frequency, eLc. 8evlew olnLers Slmple Parmonlc Mouon Cycle counung, frequency, perlod, eLc. noLe Lhe appllcablllLy and valldlLy of Lhe equauons. WhaL are Lhe underlylng assumpuons. 8evlew olnLers 8oLauon 8e exLra careful ln calculauons. Agaln, noLe Lhe appllcablllLy of Lhe equauons. ls energy and angular momenLum conserved? 1lps 8ead Lhe manual, LhaL's where we base Lhe quesuons. lollow Lhe lnsLrucuons carefully. racuce how Lo use your calculaLor emclenLly - curve-mng, equauon solver, eLc.