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1、ME230-DynamicsYourName:_________________Tutorial5SectionNo.:_________________Partners:______________________________________________________________________________________________________Impulse,Momentum,Impact,andConservationofLinearMomentumRelationshipsofInterestWork:PotentialEnergyForweight:F
2、orsprings:(S=stretch,)KineticEnergy:ConservationofEnergy:T+V=ConstantorT1+V1=T2+V2LinearImpulse-Momentum::ConservationofLinearMomentum:orImpactCoefficientofrestitution:Perfectlyplastic:e=0Perfectlyelastic:e=11)A1oz.bulletisfiredwithvelocity1600ft/secintoblockA,whichweighs10lb.Thecoefficientofkine
3、ticfrictionbetweenblockAandthecartBCis0.50.Knowingthatthecartweighs8lb.andcanrollfreely(andthat1lb.=16oz.),determine:a)thefinalvelocityofthecartandblockb)thefinalpositionoftheblockonthecartThisexercisewillgiveyouanopportunitytocarefullydefinethesystemyouareworkingwith,andtoseethatanalysisofmoreth
4、anonesystemissometimesnecessary.a)Ifconservationofmomentumistobeused,therecanbenoexternalforces.Whatchoiceofsystemswouldmakethispossiblesothatyoucaneasilysolveforthefinalvelocityofthecart?Sketchthesystemthreetimes,firstshowinginitialconditions,thenthemomentwhenthebulletstrikestheblock,andfinally
5、showingthesystemaftertheblockhasstoppedslidingonthecart.Usingconservationoflinearmomentum,determinethefinalvelocityofthecart,block,andbullet(whentheblocknolongerslidesonthecart).b)Inordertofindthefindthepositionoftheblockonthecart,startbyusingconservationoflinearmomentumtodeterminethevelocityofth
6、eblockimmediatelyafteritisimpactedbythebullet.Defineandsketchthesystemthatwouldallowthis.Isthefrictionforceimpulsive?Useconservationoflinearmomentumtodeterminethevelocityoftheblockimmediatelyafterimpact.Areforcesactingontheblockconservative?Canconservationofenergybeusedtosolveforthefinalvelocityo
7、ftheblock?DrawtwoFBDs,oneoftheblockwiththebulletembedded,andthesecondofthecart.Considertheblock-bulletsystem.Usingworkandenergy,solveforthedistancemovedbytheblockuntilithasnorelativemotiononthecart.Nowconsiderthecart.U
