| MadSci Network: Astronomy |
Dear Nancy,
Look in a geometry or elementary analysis text or engineering manual
for the volume of a sphere.
V = 4/3* pi * r^3 where pi ~ 3.14 and r^3 = r times r times r,
the radius cubed and * means multiplication.
In your case, the radius = 500 m. Grab that scientific calculator and
type in
(4/3)*3.14*(500^3) = and you've got the number of cubic meters of volume of
the original planet-buster.
Now calculate the volume of a 1 meter diameter asteroid fragment with
the same formula. Let's see: If the diameter is 1 then the radius = 0.5, so
(4/3)*3.14*(0.5^3) = the number of cubic meters in each fragment.
Divide the volume of the original asteroid by the volume of a
fragment and QED (which is Latin for quod erat demonstrandum), or "it has been
solved"!
Run your calculations and email your results to me at
alrai@ix.netcom.com for verification. This is participatory science!
Yours truly,
Jim Foerch
James C. Veen Observatory
Try the links in the MadSci Library for more information on Astronomy.