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Nathan Moore 2023-01-09 13:59:51 -06:00
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@ -93,6 +93,30 @@ If Tenoch was 100k people, how much land area?
The work was prompted in part by discussions with John Deming, Carl Ferkinhoff, and Sarah Taber. The work was prompted in part by discussions with John Deming, Carl Ferkinhoff, and Sarah Taber.
%\end{acknowledgments} %\end{acknowledgments}
%The command \appendix is used to signify the start of the appendices. Thereafter
%\section, \subsection, etc, will give headings appropriate for an appendix. To obtain
%a simple heading of Appendix use the code \section*{Appendix}. If it contains
%numbered equations, figures or tables the command \appendix should precede it and
%\setcounter{section}{1} must follow it
\appendix
\section{Introductory Food Energy Questions}
Planning to save money, one college student decides to go to an all-you-can-eat buffet each day at 11am. If he brings homework and stretches the meal out for a few hours he can get all $3000~kcals$ with only one meal bill. Food is fuel for the human body. If his body burned all this food at once, how much warmer would he get?
Useful information: the student has a mass of 80kg and is made mostly of water. A Calorie heats 1 kg of water $1^{\circ}C$.
Answer
\bea
3000kcals &=& 80kg\cdot1 \frac{kcal}{kg\cdot C^{\circ}}\cdot\Delta T\\
\Delta T &\approx& +37.5^{\circ}
\eea
Fat tissue serves a valuable purpose, brown fat, babies, songbirds
What power does the body give off in the more realistic case that the 3000kcal is burned over 24 hours?
Useful information: $1 kcal \approx 4200J$ and $1 J/s=1W$.
\be
\frac{3000kcal}{24hours}\frac{4200J}{1kcal}\frac{1hour}{3600sec}\approx145W
\ee
Survival swimming, putting all the kids in one bed on a cold winter night.
\section*{References} \section*{References}