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Ludwik has now qualified c (as I suggested) and a further answer is
appropriate.
The transfer of energy that occurs is, in the equilibrium thermodynamic
limit (where the system evolves sufficienly slowly that it is never far
from a state of thermodynamic equilibrium), classified as work.
You have now qualified c to be the heat capacity per unit mass at
zero constant pressure. I take it m is the mass of your sliding cube,
and dT is the temperature increase resulting from the process. Then
m*c*dT is equal to the change in the internal energy of the block in
this process. Note that I say it is equal to the change, not that it
*is* the change. The equality arises because of a concept called the
mechanical equivalent of heat. This change in internal energy is the
same as would have been achieved through heating the block through
the came temperature difference at zero pressure *or* doing an equal
amount of work W = m*c*dT on it. In the latter case the change in
the internal energy would be equal to W.