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----- Original Message -----
From: "John Mallinckrodt" <ajm@csupomona.edu>
The same cannot be said for "relativistic mass increase," which has
no observational basis. What we observe is that objects moving at
high speed have more momentum than that predicted by Newtonian
mechanics. There are two possible responses to this fact: 1) let the
mass of an object increase with velocity or 2) alter the dependence
of momentum on mass and velocity.
In either case the correction is exceedingly simple and noticeable
only at high velocities. The first response, however, leaves one
with myriad difficult if not unresolvable questions: How does one
actually measure the mass of a rapidly moving object? Where does
the extra "stuff" come from? What about gravitational effects?
The second response sidesteps all of those problems. Why on
Earth would anyone not choose it?
John Mallinckrodt
Cal Poly Pomona
But who chooses it when momentum is introduced?
I can't think of any text that I've seen that doesn't define
momentum as mv.
This is what the intro student (indeed myself) comes to special
relativity with. The magnetic field example (again I must say that
I've calculated and set the fields for
bending high speed protons using 'relativistic mass' and been quite
successful in getting the beam to the target) presents us with a
measured velocity but a momentum that has increased non-linearly
with that velocity.
Again, I'm not saying that we should teach relativistic mass to
physics majors, but really, how are our gen-ed students, with the
hard won idea that momentum is mass x velocity (actually work to
convince them that they instinctually have a great feel for this)
supposed to deal with the observations. I'm quite willing to use
some 'weasel' words--the result is as though the mass has
increased--but that is, in my mind, the quickest and easiest way to
present the effect of very high velocities in light of the
student's knowledge, background, and the level of detail (or lack
thereof) that is possible within the framework of the course and
the students.