\batchmode
%****** homework set 10  **************
\documentstyle[12pt]{report}
\makeatletter
\pagestyle{empty}







 











                          



  








\textheight=9.5in
\textwidth=6.5in
\hoffset=-0.75in
\voffset=-1.0in

\def\Bskip{\vskip 1cm}

\def\bskip{\vskip 0.75cm}

\def\Mskip{\vskip 0.5cm}

\def\ssk{\vskip 0.2cm}

\def\hb{\hfill\break }

\def\ul#1{$\underline{\hbox{#1}}$}

\def\rr{\hbox{\vrule height 3pt depth-2pt width.5cm}}

\def\ie{{\it i.e.}, }

\def\viz{ {\it viz. }}

\def\eg{{\it e.g.},}

\def\DZ{D\O ~}

\def\dz{D\O }

\def\DN{D\O Note~}

\def\DG{D\O GEANT~}

\def\Lum{{\cal L}}

\def\Bul{~~$\bullet $~}

\def\pbarp{$\overline{\rm p} {\rm p}$}

\def\ppbar{${\rm p}\overline{\rm p} $}

\def\squark{$\widetilde q$}

\def\gluino{$\widetilde g$}

\def\MEt{/\kern-.75em\hbox{$E_t$}}

\def\Deg{$^{\circ} $}

\def\Lsim{$ \sim$\llap {$^<$}}

\def\Gsim{$ \sim$\llap {$^>$}}

\def\ang{$^{\circ }$\llap A }

\def\Ang{
\setbox0=\hbox{h}\dimen1=\ht0 \advance\dimen1 by-1ex
\rlap{\raise.67\dimen1\hbox{{}\hskip2pt\char'27}}A}

\def\Bul{\ifmmode {\bullet }\else {$\bullet $\enskip}\fi}

\def\Ebul{\ifmmode {\circ }\else {$\circ $\enskip}\fi}

\def\imply{\ifmmode {\Rightarrow }\else {$\Rightarrow $}\fi}

\def\lt{<}

\def\gt{>}

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$c + v_{train}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline97: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}v_A = c - v_E = (300000 - 30) {\rm km/s = 299970~km/s}.\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}v_B = c + v_E =(300000 + 30){\rm km /s = 300030 km/s.}\end{displaymath}
}

{\newpage
\clearpage
\samepage \begin{displaymath}(c + v_E) - (c - v_E) = 2 v_E  = 60 {\rm km/s.}\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$= 60/300000 = 2\cdot 10^{-4} = 0.00002$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline107: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$T_{\circ}$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline111: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \begin{displaymath}T = \gamma \cdot T_{\circ}, ~~~~ \gamma = {1 \over{\sqrt{1 - \beta^2}}}~, ~~~~
\beta = {v\over c}\end{displaymath}
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\beta = {v \over c} = 0.99$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline115: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\gamma = 7.09$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline117: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}


\end{document}
