文档介绍：
SolutionstoProblemsinGoldsteinm,
CIassicalMechanics,SecondRdition
HomerReid
烟ugnist22,2000
Chapter1
Antcletsoriginallyatrestdecaysradioactivelybyemittinganelectronofmo
used训Imodermphysics,,Correspondingly,MeVeisa
thentclensrecoil2砺hatisitsmomentutmninMeWc玲theImassofthezesidual
Placethenucleusattheorigin,andsupposetheelectronisemittedinthe
positiveydirection,andthenentrinointbepositiverdirectionThentc
resultantoftheslectronandneutrinomomentahasmagnitude
Ipal一V73交十亿=2MeVe
anditsdircctionmaktesanangle
withthezaxis,Thentcledsmustacquire&momentumofequalmagnitude
anddiroctod记eoppositediroction,Thokincticcnergyofthenucleusi
吊4eV2L7810g
尔二万二一
This识muchsmallerthanthenucleusre
thenonrelativistieapproximationisj
energyofseveralhundredGeV,so
ed
HomerReidsSolutionstoGoldsteinProblemsChapter12
Theescapeelocityofapatticleontheearth诊theIminimumlvelocityrequired
4ttheSuzfaceoftheeazth讨oxderthattheparticlecanescapefomtheeatths
gravitationalfcld、Neglcctingthorosistanceoftheatmospherethe8ystcm诊con
sServative,Efoumtheconservationtheoremforpotentialplusineticenergyshow
that妃eescapevelocityfortbeearth,
misee
训thepattidlestarts汪作eeartssurfacewiththeescapevelodityiwil
justmanagetobreakfreeoftheearthsfildandhavenothinglefL,Thusafter
识hascscapedthecartt8fcld讨willhavenokincticcncrgyleftandalsono
potentialenergysinceioutoftheearthslld,soitstotalenergywilbezero,
SincetheparticlestotalcncrgymtstbeconstantiInustalsohavezcrototal
energyatthesurfaceoftheearth,Thismeansthatthekineticenetgyithasat
thestrfaceoftheearthImustexactlycancelthegravitationalpotentialenergy
ithasthere
1aM
5ints一G
ttc1
2
匹
志
,
1m
二