Physics218LAB:ConservationofMomentumNameSectionNumberTeamNumberIntroductionThepurposeofthislabisto becomefamiliarwiththeconceptofmomentumandtostudythelawcalledConservationofMomentum.Inthislabyouaretoverifythefollowingstatement:Iftherearenoexternalforcesonasystemthetotalmomentumofthesystemisaconstant.Theexperimentinvolvesthecollisionoftwosteelballssothatthecollisionmaybeassumedtobeperfectlyelastic.Youaretodothecalculations,intermsofvariables,beforecomingtothelabsothatthelabtimecan bedevotedtodoingtheexperimentandplugginginthemeasuredvalues.TheApparatusYouwillhaveagroovedverticaltrackofheighth1.Thetrackismountedonthelabtablewhichhasheighth2.Thefirststeelballwillstartatthetopofthetrackandrolldown.Atthebottomofthetrackthereisaholderforthesecondball.(Theballsareidentical.)Theholdermaybeplacedsothattheresultingcollisioncanbehead-onorglancing.Ontheflooryouwillhavepapersoyoucanmarkthepointofimpact.Thelabinstructorwilltellyouhowtodothisusingcarbonpaper.VelocityBeforeImpactYoumaythinkthatyoucansimplyuseConservationofEnergytodeterminethevelocityofthefirstballafteritgoesdownthetrackofknownheight.Infactifyoulettheballrolldownthetrackanddetermineit’svelocityjustasitleavesthetrackbymeasuringthedistanceittravelsbeforehittingthegroundyouwillgetadifferentanswer.Usetheexperimentalresultinyourcalculations.HeadOnCollisionUsetheLawofConservationofMomentumandthedefinitionofaperfectlyelasticcollisiontodeterminethevelocityofthetargetballimmediatelyafterthecollision,assumingallmotionisalongaline.Relatethistothedistancethetargetballwilltravelbefore1hittingtheground.Doyourcalculationsinthespacebelowandputinthemeasuredvaluesfortheheighth2andthevelocityofthefirstballbeforeimpact.Performtheexperimentandcomparethemeasureddistancetoyourprediction.GlancingCollisionUsetheLawofConservationofMomentumandthedefinitionofaperfectlyelasticcollisiontorelatethevelocityofthefirstballbeforeimpacttothequantitiesdescribingthemotionofthetwoballsjustafterthecollision.Thequantitiesaretheanglesofeachball’svelocitymeasuredfromtheoriginallineofmotionandthemagnitudesoftheirvelocities.Relatethesequanititiestothedistancetheeachballwilltravelbeforehittingtheground.Doyourcalculationsinthespacebelow.Youshould end upwithequationswhichshouldbesatisfiedbythemeasureddistances,themeasuredanglesandthemeasuredoriginalvelocity.PerformtheexperimentandplugintoyourequationstoseehowwelltheLawofConservationofMomentumissatisfied.Wewillbestudyingthemotionoftheballasitrollsdownthetrackto
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