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From Cecil's Mailbag by the Straight Dope Science Advisory Board
Dear Straight Dope:
I want to know why a person falling from a 6 story window is
killed, but a bug is dropped from a proportional height--say, 6
feet--gets up and walks away. Why isn't it dead? --METZ369
SDSTAFF Hawk replies:
Bugs have more air resistance. Next, we must consider the
surface area of the falling object. The surface area is the amount
of the exposed surface the object has, and, generally speaking, the
bigger an object is, the more surface are it has.
When an object falls, it displaces the air beneath it. Since
the air tends to resist displacement, it produces a force opposite
to that of gravity in the phenomenon known as "air resistance."
Note that the amount of air displaced is dependent on the size of
the object and not its mass, so the bigger the object, the more air
it displaces, the higher the air resistance. However, if an object
is large without a lot of mass or substance (e.g., a
sponge or Rush Limbaugh), we usually describe it as "light" (OK,
scratch the Limbaugh analogy).
So, when an object falls, it falls because of gravity but the
amount of force it has is determined by its mass. At the same
time, air resistance produces a force opposite to gravity but the
amount of that force is dependent on its surface area.
Now, let's get back to our test subjects. Our human test
subject is 2 meters tall, 0.6 meters wide, and 0.4 meters deep and
weighs 90.7 kilograms. He therefore has a surface area of 4.48
square meters. If we divide the mass by the surface area, we get
20.3 kilograms/square meter. On the other hand, our ant test
subject is 0.002 meters tall, 0.002 meters wide, and 0.006 meters
long and weighs 0.00002 kilograms. He therefore has a surface
area of 0.000056 square meters and a mass:surface area ratio of
0.36. From these rather crude figures (they're rather crude test
subjects, especially the human) we see that the human's
mass:surface area ratio is several times greater than that of the
ant. Hence, there is a significant disproportionality between the
two species when they hit the pavement.
Another contributing factor is biology. Humans and most other
animals have an internal skeleton. Insects and other arthropods
(like spiders, crabs, etc.) have an external skeleton (a.k.a.
"exoskeleton"). This no doubt contributes another measure of
safety to the poor hapless ants that got thrown off of a building
in the interest of science.
Straight Dope Science Advisory Board
Cecil's Mailbag is researched and written by members of the Straight Dope Science Advisory Board, Cecil's online auxiliary. Although the SDSAB does its best, these articles are edited by Ed Zotti, not Cecil, so accuracywise you'd better keep your fingers crossed.
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