32. But gravity is not the only force, and we might measure the energy
of a moving body by the extent to which it would bend a powerful
spring or resist the attraction of a powerful magnet, or, in fine,
we might make use of the force which best suits our purpose. If this
force be a constant one, we must measure the energy of the moving body
by the space which it is able to traverse against the action of the
force--just as, in the case of gravity, we measured the energy of the
body by the space through which it was able to raise itself against its
own weight.
33. We must, of course, bear in mind that if this force be more
powerful than gravity, a body moved a short distance against it will
represent the expenditure of as much energy as if it were moved a
greater distance against gravity. In fine, we must take account both of
the strength of the force and of the distance moved over by the body
against it before we can estimate in an accurate matter the work which
has been done.
FOOTNOTES:
[1] It is said that there are one or two instances where the microscope
has enlarged them into visibility.
[2] _See_ Dr. Angus Smith on Air and Rain.
CHAPTER II.
_MECHANICAL ENERGY AND ITS CHANGE INTO HEAT._
_Energy of Position. A Stone high up._
34. In the last chapter it was shown what is meant by energy, and how
it depends upon the velocity of a moving body; and now let us state
that this same energy or power of doing work may nevertheless be
possessed by a body absolutely at rest. It will be remembered (Art.
26) that in one case where a kilogramme was shot vertically upwards,
we supposed it to be caught at the summit of its flight and lodged on
the top of a house. Here, then, it rests without motion, but yet not
without the power of doing work, and hence not without energy. For we
know very well that if we let it fall it will strike the ground with
as much velocity, and, therefore, with as much energy, as it had when
it was originally projected upwards. Or we may, if we choose, make use
of its energy to assist us in driving in a pile, or utilize it in a
multitude of ways.
In its lofty position it is, therefore, not without energy, but this is
of a quiet nature, and not due in the least to motion. To what, then,
is it due? We reply--to the position which the kilogramme occupies at
the top of the house. For just as a body in motion is a very different
thing (as regards energy) from a body at rest, so is a body at the top
of a house a very different thing from a body at the bottom.
Public-domain text, read in full here on John Shaqi.
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