EDIT: This was written in response to #3 BEFORE I noticed #4. As usual,
@Dukedog was FASTER. He found my response even before I did. Drat. Those Duke dudes ARE smart.
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@A_Dragon_Riding_King , here is my cursory attempt at a simple, Sophist explanation, which tails off with something of a practical demonstration.
E = m(c^2)
Therefore m = E / (c^2).
Therefore, when we expend energy to compress or expand a spring (from its equilibrium position), we increase its stored energy content, and its mass increases equivalently (albeit infinitesimally), since, as the equation shows, mass and energy are equivalent, linked by a (rather large) conversion factor (namely, c^2), where c is, of course, the speed of light measured in whatever sensible units we care to use. (That choice of units will influence the sort of energy units that result from the calculation, of course).
But let's take this a bit farther.
When we are stressed -- when life is pushing and pulling at us -- what happens?
The stress causes us to eat more. We begin hunting for pie. Perhaps the Halloween candy finds its way, at least in part, into our own bellies and not into the gift bowl.
And ... our mass increases.
See? Sophists have an answer for everything. Even when the answer is likely to be quite incorrect. Like this post.