the beautiful explanations in sciences?bypasses the experiments..

From: ashok (arjdombivli_at_indiatimes.com)
Date: 09/19/04 

Date: 18 Sep 2004 21:30:05 -0700

Hi all!

Arstotle's stated that two different bodies having different weight
dropped from the same height will do not reach the earth at the same
time but heavier body will reach first.
Probably Aristotle had experimented with taking a feather like body
which doesn't break the air resistance and another heavier body and
hence could had wrongly stated.

But I am more fascinated with the Galileo's explaination to "why any
two bodies dropped from the same height reach the earth at the same
time irrespective of their weight" .(I am putting it in my own words)
"suppost two canon balls having weight 6kg and 3kg (all figures are
mine)dropped from the same height then according the Aristotle their
velocity to reach the earth and hence the time will dependent of the
weight of the balls.The 6kg ball will take half of the time to 3kg
ball.
Suppose 3 kg ball take 30 seconds to reach the earth and hence the 6
kg ball will take 15 seconds.

Now suppost the two balls are tied together and dropped from the
previous height then what will happen.
The 3 kg weight will resist to reach the earth in less than 30 seconds
and the 6 kg will try to reach in 15 seconds .So the two balls'
assembly will reach in (30+15)/2 = 22.5 seconds.
but the assembly has an overall weight of 9 kg and hence it should
reach in 10 seconds(This is all if we take Aristotle's statement to be
correct.)
So the two answer shows a paradox and hence Aristotle's statement is
definitely wrong."

The most interesting part to me in above (of course refering to
Galileo's original explaination) explanaition is it hardly requires
any experiment.
since the mathematical and logical deductions are so intelligent and
complete in themselves that one can get convinced by merely reading
it.
It hardly requires any experiment.

Now I want to know , are their any such beatiful and intelligent
explanaitions in physics which totally eliminates the necessity of an
experiment for their proof?(i.e the explanaitions are complete in
themselves.?)

(I feel that Einstein's explanaition about "why light's speed is
absolute?" is totally a masterpiece of logical analysis. )

Thanking you,

Regards,
arj

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