To illustrate this, we may suppose that two men of equal activity and
strength are fighting together, each having his pile of stones with
which he is about to belabour his adversary. One man, however, has
secured for himself and his pile an elevated position on the top of a
house, while his enemy has to remain content with a position at the
bottom. Now, under these circumstances, you can at once tell which of
the two will gain the day--evidently the man on the top of the house,
and yet not on account of his own superior energy, but rather on
account of the energy which he derives from the elevated position of
his pile of stones. We thus see that there is a kind of energy derived
from position, as well as a kind derived from velocity, and we shall,
in future, call the former _energy of position_, and the latter _energy
of motion_.
_A Head of Water._
35. In order to vary our illustration, let us suppose there are two
mills, one with a large pond of water near it and at a high level,
while the other has also a pond, but at a lower level than itself. We
need hardly ask which of the two is likely to work--clearly the one
with the pond at a low level can derive from it no advantage whatever,
while the other may use the high level pond, or head of water, as
this is sometimes called, to drive its wheel, and do its work. There
is, thus, a great deal of work to be got out of water high up--real
substantial work, such as grinding corn or thrashing it, or turning
wood or sawing it. On the other hand, there is no work at all to be got
from a pond of water that is low down.
_A Cross-bow bent. A Watch wound up._
36. In both of the illustrations now given, we have used the force of
gravity as that force against which we are to do work, and in virtue
of which a stone high up, or a head of water, is in a position of
advantage, and has the power of doing work as it falls to a lower
level. But there are other forces besides gravity, and, with respect to
these, bodies may be in a position of advantage and be able to do work
just as truly as the stone, or the head of water, in the case before
mentioned.
Let us take, for instance, the force of elasticity, and consider what
happens in a cross-bow. When this is bent, the bolt is evidently in a
position of advantage with regard to the elastic force of the bow; and
when it is discharged, this energy of position of the bolt is converted
into energy of motion, just as, when a stone on the top of a house
is allowed to fall, its energy of position is converted into that of
actual motion.
In like manner a watch wound up is in a position of advantage with
respect to the elastic force of the mainspring, and as the wheels of
the watch move this is gradually converted into energy of motion.
_Advantage of Position._
37. It is, in fact, the fate of all kinds of energy of position to be
ultimately converted into energy of motion.
Public-domain text, read in full here on John Shaqi.
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