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1、Problem1.Answers:1.;;7.13°.()2.3.a-e,b-d,c-f.4.[d]:,,,,5.(a),(Answer)(b),,(Answer)(Answer)(c),(Answer)6.Solution:Fromthedefinitionofaccelerationforastraightlinemotion,andthegivencondition,wehave.Applychainruletodv/dt,theequationcanberewrittenasSeparatingthevariablesgivesTakedefiniteintegrationfor
2、bothsidesoftheequationwithinitialconditions,wehave,or(Answer)Problem2.Answers:1.13.0m/s2,5.7m/s,7.5m/s2,2.,.Solution:Atinitialmomentwhentheballisjustkickedout:,.Inordertheballnottohittherock,,;(Answer)Fortheverticalmotion:,,(Answer)3.d.4.d.5.Solution:atanymomentthespeedoftheprojectileisTangential
3、acceleration:,Radialacceleration:,From,wehavetheradiusofcurvatureisgivenby(Answer)6.Solution:Problem3.Answers:1.Solution:Fig.3-1(a),(b)2.(a)Mg,(b)3.d.4.e5.Solution:fromthegivenconditionandwith,at20s,,wehave(a),With40.0s,wecanget(b)2.50m/s,Solution:(c)From,wehaveTherefore,(Answer)whichmeanstheacce
4、lerationoftheboatisproportionaltothespeedatanytime.6.Solution:FromNewton’ssecondlaw,wehaveBythedefinitionofacceleration,thisequationcanberewrittenasSeparatingthevariablesobtainsTakethedefinitionintegralwiththeinitialconditions,wehveThen.(Answer)Problem4.Answers:1.(a)21J,(b),q=19.4°2..3.c.4.d5.(a)
5、=,(b)(c),6.Solution:(a)Intheprocessofthependulumswingingdown,onlythegravitydoeswork,mechanicenergyisconserved:Whenthesphereisreleasedfromacertainheight,inordertomaketheballwillreturntothisheightafterthestringstrikesthepeg:,.(Answer)Solution:(b)Ifthependulumistoswinginacompletecirclecenteredonthep
6、eg,atthetopofthepath,thetensionTonthecordmustnotbezero.,BecauseSoFromtheconservationofmechanicalenergy,wehaveInsertingintoaboveequation,obtains(Answer)Problem5.Answers:1.(a)2.(a)0.284,(b)114.6fJ,45.4fJ.Solution:(a)Momentumandkineticenergyareconserved:(1),So,(2)FromEq.1,,insertEq.2,.(Answer)(Answe
7、r)(Answer)3.[a].,,4.[a]Solution:Form:intheelasticcollisionprocess,,intheinelasticcollision:,5.Solution:,,6.proofproblemSolution:,,Problem6.Answers:1.144rad.Solution:,，,(Answer)Fig.6-22.(a),Solution:(b)3.c.Fig.6-44.a.So
