\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} An alien spaceship is found. A major
part of the spaceship is a thin metal bar which is 120 meters long
(metric aliens) with a cross-section of 1 square centimeter. The bar
is heavy and has varying density. A metallurgist samples of the bar at
20 meter intervals, and finds the density of the samples (in grams per
cubic centimeter). 
$$\eqalign {{\bf Meter\ }&{\bf mark}\cr
0&\cr
20&\cr
40&\cr
60&\cr
80&\cr
100&\cr
120&\cr}
\quad
\eqalign {{\bf Den}&{\bf sity}\cr
30&.4\cr
\ldots\cr
46&.5\cr
65&.8\cr
29&.2\cr
52&.1\cr
\ldots\cr}
\quad
\eqalign{&\cr &\cr &{\rm Data\ lost.\ {\sevenrm (Stolen\ by\
aliens?)}}\cr
&\cr &\cr &\cr &\cr
&{\rm Lunch\ break.}\cr}
$$ 

\noindent Estimate the total weight of the alien object. Is it likely
that one person could lift it?











\vfil\eject\end