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Free-body diagram. The net force on the block is -umg. This equals
ma. Thus a = -ug which is a constant. Thus we can use the equation of
kinematics, v^2 = v0^2 + 2ax. But v = 0.
We insist there is a logically sound theorem
applicable to the block as a whole.
We can agree there is a problem
of what to *name* various items.
That's fine and I have no problems with your personal preferences.
"De gustibus non disputatum."