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dt2GM R2tR0R dR dt001Theradiuswouldshrinktozeroafteranelapsedfreefalltimet p 8R3 GM 122Dimensionalanalysisgivesasimilarresultitisclearthatthecollapsetimeshouldinvolvetheini

dt2=GM R2(t)R(0)=R dR dt(0)=0:(1)Theradiuswouldshrinktozeroafteranelapsed\free-fall"timet = p 8R3 GM 1=2:(2)Dimensionalanalysisgivesasimilarresult:itisclearthatthecollapsetimeshouldinvolvetheini

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