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You objected:3.) Therefore, an observer travelling with this CM is viewing the world
from a non-inertial frame.
No, he's viewing the world from an inertial frame. Maybe it would beeasier
if you explain to me why you think his frame is non-inertial.
You replied:He will see objects accelerate with no forces
acting on them;
All sorts of weird things will happen because the Lorentz forceequations
give conflicting results, in this situation. That's my point.
You asked:he will of course see objects at rest relative to him NOT
accelerate even though there is a net force on them
If they are at rest in an accelerating frame, there must be a net force onFrom where?
You replied:(as there must be on him).
The observers are assumed not to interact with the particles.He must be experiencing a net force from something (probably not the
You articulated:He cannot apply Newton's laws to his observations without adding
corrections which take into account his own acceleration.
As I said, he's inertial according to himself.I haven't a clue as to what this means!
is4.) I think that by your phrase "then the center of mass is inertial"
you are asserting something other than the (false)statement that an
observer travelling with the CM is at rest in an inertial frame. What
You repied:it that you really mean?
By definition, if two particles start out with equal and opposite (orzero)
velocities, as in this case, and the net forces on the particles sum tozero
(which they do in the CM frame), then the velocity of the center of massof
the particles is constant (or zero). That means that the reference frameof
the center of mass (CM frame) is inertial from the point of view of anThe accelerations sum to zero in the CM frame; the forces do not. In fact
observer at rest in the CM frame.
Imagine two identical pool balls travelling with equal and oppositetwo
velocities (CM frame view). They collide elastically then move away from
each other with equal and opposite velocities. The center of mass of the
balls is stationary throughout the interaction, therefore it's inertial.If
there was a very short observer standing at the center of mass, he wouldsay
that he is inertial, too.CM
Now just insert pool balls=electrons and you've got the situation in the