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In the spirit of a Carnot diagram (a circle with arrows) a
simple machine has only two arrows: work in and work out.
The number of joules going in is slightly smaller than the
number of joules coming out. No joules would be lost in
an ideal machine (negligible mass and friction). This is
not very different from what we have in calorimetry,
except that here joules represent "heat" and the amount of
work done is negligible. Thus "conservation of heat" and
"conservation of work" before the conservation of energy.
A simple machine used to compress a spring corresponds to
a calorimetric setup in which "latent heat" is accumulated,
perhaps in a solar house for subsequent release. Thus energy
(mechanical or thermal) can be said to be "work done on a
system" or "heat supplied to it".
Such generalization may surface naturally in a Socratic
postlab dialog. Should we immediately say NO, NO, NO?
Why did you mention the spring in the first place? I know
nothing about heated springs and I am sorry I started to make
bad guesses. The only connection between heat and energy I
know about is that 4.18 J of work raises the temperature by
nearly the same amount as 1.00 calorie of heat. "Work is not
lost, it exists in the form of heat". That is just another way of
saying what was quoted above.
We'll work on that problem some more after we clear up
your initial false premise.
.. energy (mechanical or thermal) can be said to be
"work done on a system" or "heat supplied to it".
Sorry for bringing the initial sentence back again; I really
want to know what is wrong with it it. Can it be explained
in my language or should I just accept your criticism and
wait till I know more physics? Perhaps you are right,
students should not try to act as scientists; critical thinking
at my level should be strongly discouraged. Learn what
others found first and try to be creative later.