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Re: Special Relativity ?



Hi Ken,
In your inelastic collision, the final (rest) mass of the combination is
larger than the sum of the masses of the colliding particles. In
relativistic collisions, the momentum - energy four vector must be
conserved. This requires that the mass change in inelastic collisions,
to keep the total energy constant. I think Feynmans' lecture text gives
a good treatment of this.

-Bob

Bob Sciamanda
Physics, Edinboro Univ of PA (ret)
trebor@velocity.net
http://www.velocity.net/~trebor
-----Original Message-----
From: Ken Fox <kfox@STEGA.SMOKY.ORG>
To: PHYS-L@LISTS.NAU.EDU <PHYS-L@LISTS.NAU.EDU>
Date: Tuesday, November 24, 1998 5:32 PM
Subject: Special Relativity ?


This is a question of momentum as seen from two reference frames S and
S'.
S' is moving at 0.5c rel to S. S observes two bodies approaching each
other so that he measures the speed of each to be 0.5c one parallel to
the motion of S', the other directly opposed. One rest mass is twice the
other. The two hit
and somehow stick together. ( Is that conceivable in this thought
experiment?)

Using expressions for relativistic momentum p = gamma m v we came up
with
a reasonable answer for the velocity of the combined mass. Of course S'
is
supposed to agree that momentum is conserved. New values but
conservation
none the less. Using the velocity transformantion equations and momentum
equations, I am unable to show that as a fact.

As you can tell I am a novice but a fascinated one and one who believes
he
is making progress in understanding. But I am baffled. Any guidance
would
be wonderful.

Thanks!

Ken Fox
Smoky Hill High School
16100 Smoky Hill Rd
Aurora,CO 80015
303-693-1700(w)
303-850-7537(H)
kfox@stega.smoky.org