Does deltaE = c^2*deltaM (E=m*c^2) always apply?



If deltaE = c^2*deltaM always apply, then the mass of a physical object must
always increase when energy is somehow added to it. IMHO, that's just the
result from SR (Special Relativity).

But I have some doubt, conserning this, I can admit. Mainly because there
are not really any experiments, which has shown these effects in practice.
Because it's very small effects, like for example from:

* Heating an object (and therefore adding energy to it)

* Charging a battery (and therefore adding energy to it)

In principle the mass should increase (shouldn't it?), because of the energy
added to the objects. But in practice, then unfortunately this can't be
measured. Because deltaM is extremely small.

I got interested in this problem, because I worked with momentum 4-vectors
for a non-elastic collision. If I do not add some mass to the objects
(m+deltaM) after the collision, then the conservation of 4-momentum simply
can't work. I assume, that the 4-momentum is actually always conserved,
because lost kinetic energy will become mass. -Like with E=m*c^2 in SR. But
is this correct?. Sometimes I think, that it looks a bit strange...

An example with 4-momentum and a non-elastic collision:
http://www.peterchristensen.eu/phys/TheDeltaMProblem.pdf

Does deltaE = c^2*deltaM always apply?

[ ] Yes
[ ] No

IMHO, I think that the answer is yes. But I would really like to se some
real experiments on how energy gives more mass.

PC

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