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Pastimes : Ask John Galt...
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To: Krowbar who wrote (2506)4/10/1997 3:34:00 PM
From: Ignacio Mosqueira   of 4006
 
Actually Del that question does not require a standard relativity
book at all. You can find it solved explicitly in
Halliday and Resnick Fundamentals of Physics (3rd edition page 965).
The explanation there is fairly good. The key is realizing that
when you ask for relative velocities that means that you are
switching frames and different frames measure space and time
differently. The formula that you need is

v = (v' + u)/(1 + uv'/c^2). Notice that when v' and u go
to c then v also goes to c instead of 2c which would be the
case with the usual formula v = v' + u which everybody
is accustomed to using. Just plug in the numbers.
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