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Really, you need to be careful in every instance to be very clear.
How about defining power as rate of converting energy from one form
to another? This could be an internal conversion (burn chemical
energy of gasoline to get kinetic energy of motion of a car) or an
external transfer (in the form of work, heat, and/or mass transfer
from one object or system to another). I'm somewhat undecided about
whether a transfer of energy without a change in form should count
(eg. the cue ball hits the 8 ball elastically) but I suppose it could
so one doesn't have to worry too much about what one means by the
vague term "forms." Just consider any measurable change in a a system
to involve energy and hence power.