But the distance which the water will travel during this second will be
the difference between the distance which it would have ascended if
there had been no gravity forcing it down, and the distance which it
would have descended if there had been no momentum driving it up; and,
at the end of the second, the rate of its motion upwards, or its
velocity, will be proportionally slower. Thus, at the end of the first
second, the water has spent a certain portion of its momentum in
overcoming its gravity. And as there is nothing to make good the loss,
it would, if left to itself, travel more slowly, or over a less
distance, in the second second than it tended to do in the first. But
though the momentum of the water is diminished, its gravity, weight, or
tendency to fall downwards, for a given distance in a second, remains
exactly what it was, and operates in the course of the second second to
exactly the same extent as in the first. Hence, at the end of the second
second, the distance through which the water travels upwards is still
smaller, and its velocity is still more diminished. It is obvious that,
however great the disproportion between momentum and gravity to start
with, gravity must gain the day in the long run under these
circumstances. The store of momentum will be used up; and, after a
momentary rest, the water, reduced to the condition of a body without
support, will begin to be carried downwards by the unopposed action of
gravity.
The case is similar to that of a boy sculling a boat, the bows of which
are suddenly seized and the boat thrust violently backwards by a strong
man. The boat will go stern-foremost rapidly, at first, but every stroke
of the boy’s oar at the stern will retard its backward motion; until, at
length, the stock of momentum conferred upon it by the man’s thrust will
be completely exhausted in working against the boy, and the boat, after
a momentary rest, will resume its onward course. The distance to which
the boat will be propelled backwards will evidently depend upon the
amount of muscular power which the man, as it were, suddenly capitalizes
in the boat, and which the boat then slowly pays out.
We call people who possess much muscular or other power energetic; and
we estimate their =energy= by the obstacles they overcome, or, in other
words, by the =work= they do. In the present illustration the man’s
energy would be measured by the distance to which the boat was propelled
before it stopped.
It is easy to transfer this conception of energy, as the power of doing
work, to inanimate things; and thus when a body in motion overcomes any
kind of obstacles in its way, parting with its momentum and more or less
coming to rest in the process, we say that it has =energy= and that it
does =work=.
Public-domain text, read in full here on John Shaqi.
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