文档介绍：SolutionstoProblemsinGoldstein,
ClassicalMechamics,SecondEdition
H01neTReid
August22,2000
Chapter1
久ucleusoxiginallyatrestdecaysradioactiyclybycmittinganclectronofmo
,andatrightanglestothedirectionoftheelectronanettrino
,Correspondingly,Meyeisa
.】Inwhatdiroctiondocs
thenucleusrecoilWhat识itsmomentuminMeWc7Tfthemassoftheresidual
Placethenucleusattheorigin,andsupposetheclectron诊emitted记the
positive8direction,andtheneutrinointhepositidivection。Thenthe
restltantofthelectronandnentrinoInomentahasnagnitude
psio二V178与十伸二2Mewe,
anditsdirectionmakesanangle
多二tanl富&一607
Withthe8axdi$、ThenucletsInustacduire&Imomentutnofequalmaghitude
anddirected记tbeoppositcdircction,Thekincticcnergyofthonuclousi
ThisiImndhsrualerthantbenutleusrestenergyOfseveralhundredGeV,so
thcnonxclativisticapproximationisjustificd.
HomerRleidSolutionstoGoldsteinProbleusChapter!2
Theeseapebelocity0fapazrticleontbheearth诊themininittnvelocityeduired
tthegurfaceofthecarth记orderthat李eparticlecanescapcffomthecarths
gravitationalfield、Neglectingtheresistanceoftheatmosphere,thesystemiscon
servative,TFounthecongervationtheoreanforpotentialpluskinetiecnergyshow
书st妙eescapevelocityfor虹eearth,ignoringthepresenceoftheImoon,
misec
作theparticlestartsattheearthssurfacewiththeescapevelocitpitwif
justmanagetobreakfreeoftheeartlsfeldandhavenothingleft、Tisafter
论hascscapedthocarthshold讨willavenokincticcncrgyleft,andalsono
potentialenergysinceitsoutoftheearthsfild,soitstotalenergywillbeero
Sincetheparticlestotalencrgyningtbeconstantiustalsohavezcrototal
energyatthesurfaceoftheeartt、Thismeansthatthekineticenergy训hasat
theguzfaceof仙eearthstexaetlycancelthegravitationalpotentialenergy
E
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R
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HomerRleidSolutionstoGol