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
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