Re: Androcles asks for Derivation of LT
From: Daryl McCullough (stevendaryl3016_at_yahoo.com)
Date: 02/16/05
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Date: 15 Feb 2005 19:00:23 -0800
Androcles says...
>Which frame is the one that has the time dilation, then?
>B or G?
Each frame measures the other frames' clocks as being time-dilated.
Let e_0 be the event at which Sally and Sam's clocks both read 0.
Let e_1 be the event at which Sam's clock reads 10 seconds.
Let e_2 be the event at which Sally's clock reads 10 seconds.
In frame B (the frame in which Sam is at rest), the time between
e_0 and e_1 is 10 seconds. The time between e_0 and e_2 is 12.5 seconds.
So Sam measures Sally's clock to be running slow (it takes 12.5 seconds
for Sally's clock to advance 10 seconds).
In frame G (the frame in which Sally is at rest), the time between
e_0 and e_1 is 12.5 seconds. The time between e_0 and e_2 is 10 seconds.
So Sally measures Sam's clock to be running slow.
-- Daryl McCullough Ithaca, NY
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