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food_energy.pdf
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@ -93,6 +93,30 @@ If Tenoch was 100k people, how much land area?
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The work was prompted in part by discussions with John Deming, Carl Ferkinhoff, and Sarah Taber.
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%\end{acknowledgments}
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%The command \appendix is used to signify the start of the appendices. Thereafter
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%\section, \subsection, etc, will give headings appropriate for an appendix. To obtain
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%a simple heading of ‘Appendix’ use the code \section*{Appendix}. If it contains
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%numbered equations, figures or tables the command \appendix should precede it and
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%\setcounter{section}{1} must follow it
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\appendix
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\section{Introductory Food Energy Questions}
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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?
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Useful information: the student has a mass of 80kg and is made mostly of water. A Calorie heats 1 kg of water $1^{\circ}C$.
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Answer
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\bea
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3000kcals &=& 80kg\cdot1 \frac{kcal}{kg\cdot C^{\circ}}\cdot\Delta T\\
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\Delta T &\approx& +37.5^{\circ}
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\eea
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Fat tissue serves a valuable purpose, brown fat, babies, songbirds
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What power does the body give off in the more realistic case that the 3000kcal is burned over 24 hours?
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Useful information: $1 kcal \approx 4200J$ and $1 J/s=1W$.
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\be
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\frac{3000kcal}{24hours}\frac{4200J}{1kcal}\frac{1hour}{3600sec}\approx145W
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\ee
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Survival swimming, putting all the kids in one bed on a cold winter night.
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\section*{References}
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