Goal of Problem
Set #8: This assignment is meant to help
you understand:
- the relationships between thermal
energy, heat, and temperature,
- the physics of combustion,
- the mechanisms of heat transfer:
conduction, convection, and radiation,
- the black body spectrum,
- how the rates of heat transfer depend
on temperatures.
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You are taking a semester off from UVa
to get some practical experience in your chosen field of study: literary
criticism of 11th Century Italian palimpsests. Somehow, you have had
trouble finding a good internship in that area and have had to settle
for a slightly less related job: Artic Mountain Rescue. Well, at least
you get to eat lots of Italian food. Actually, it's just Pizza, but
it's a start.
The present story begins on a bitter
cold afternoon when a small commercial airliner develops engine trouble
and has to ditch in a remote wilderness area near your base camp. You
and your crew set out across the frozen landscape and reach the crumpled
plane shortly before sunset. The ambient temperature at the rescue site
is -30 °C. None of the passengers is seriously injured, but all are
extremely cold and, with no hope of evacuating them until morning, your
priority for the night is to keep everyone warm. No, there is no Saint
Bernard dog there with a keg of whisky hanging from its neck so you'll
have to do this work yourself. Besides, this is a thermal physics problem
set, not one of applied chemistry. |
1. You find two logs on the ground,
one about twice as heavy as the other. Compare (A) the thermal
energy contents and (B) the temperatures of these two logs.
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2. If you touch these two logs together,
which way will heat flow between them? Explain.
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3. While you were gathering logs
for a fire, your colleagues were trying to keep the airplane passengers
from losing heat to their surroundings. Why was it important to (A)
keep the passengers from touching their surroundings, (B) block
airflow around the passengers, and (C) minimize the area of
passenger-skin that faced the surroundings, even at a distance?
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4. You strike a match and hold its
flame to a pile of log shavings. They soon begin to burn and ignite
the nearby logs. The surface temperature of each log surges upward
from -30 °C to roughly 1500 °C. Each log's thermal energy has increased.
(A) Where did this thermal energy come from? (B) What physics
purpose did the burning match serve?
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5. With the fire blazing in front
of them, the passengers begin to feel warm. Of course, no one wants
to actually touch the hot coals or hover directly over the fire in
the smoke, so they settle for sitting around the fire at a reasonable
distance. What is conveying heat from the fire to the passengers?
Explain.
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6. As they face the fire, the passengers'
backs remain cold. Because you and your crew had to travel light,
you have only thin, shiny aluminized plastic sheets to give to the
passengers to keep them warm. Each passenger drapes one of these shiny
sheets over his or her back. Amazingly enough, this thin covering
helps them feel significantly warmer. Why is this thin shiny layer
so effective at keeping a passenger warm?
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7. While you stir the fire, a glowing
coal falls into the dirt and soon stops burning. You pick it up and
notice that it is jet black. How could a jet black object have appeared
bright yellow while it was burning?
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8. You step away from the campfire
and into the woods. Despite the darkness, you can tell whether you
are standing under a tree or under the open sky. You don't even have
to look for stars. You just feel colder whenever you have no tree
above you. Why?
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