Project $10$: Part A: Post$-$Apocalypse Now

apoc$2.$jpg

Henry Gupta has returned. It turns out he is a pretty bad dude. Gupta hid a remote communication device on the satellite that was activated. It launched many nuclear missiles across the world scorching most of the Earth.

$100$ years later...

You are a member of the Scorched Earth Army, an elite team of survivors responsible for the protection of and collection of resources for Quadrant $4.$

Captain Benjamin L$.$ Willard, Lieutenant Colonel Bill Kilgore, and your team have emerged from your underground bunker to find a deserted wasteland. Well, it's nearly deserted....

Your team is attacked by wild boar$-$tigers. While fighting them off, you manage to slay one of them and collect it for sustenance. Your team returns to the entrance of the bunker only to find it is locked and no one is answering the door.

Your team takes refuge near a fantastic oil fire. It's getting cold and you are hungry. Willard suggests you cook the beast using an age old technique: boiling water in a dirt pit. You'd like to avoid the carcinogens associated with cooking the beast directly over the oil fire. Your team finds a pile of hard and soft rocks near the oil fire. To properly cook the beast, you need to achieve a cooking temperature of $370$K$.$ Design the pit.

Hard rock Soft rock

Density $(\backslash$times $103$kg$/$m$3$

$)2\mathrm{.}672\mathrm{.}2$

Specific Heat Capacity $(\backslash$times $103$J$/$kg$/$K

$)1\mathrm{.}01\mathrm{.}4$

Post$-$Solution Conceptual questions:

What changes would you make to this model in order to make it more accurate?

Describe the energy story for the problem, where does the energy transfer from one situation to another during the problem?