Evolution; Knowledge, Theory of; Philosophy and religion
When the prong of a tuning-fork is pulled on one side by the finger, a
certain extra tension is produced among its cohering particles; which
resist any force that draws them out of their state of equilibrium. As
much force as the finger exerts in pulling the prong aside, so much
opposing force is brought into play among the cohering particles. Hence,
when the prong is liberated, it is urged back by a force equal to that
used in deflecting it. When, therefore, the prong reaches its original
position, the force impressed on it during its recoil, has generated in
it a corresponding amount of momentum—an amount of momentum nearly
equivalent, that is, to the force originally impressed (nearly, we must
say, because a certain portion has gone in communicating motion to the
air, and a certain other portion has been transformed into heat). This
momentum carries the prong beyond the position of rest, nearly as far as
it was originally drawn in the reverse direction; until at length, being
gradually used up in producing an opposing tension among the particles,
it is all lost. The opposing tension into which the expended momentum
has been transformed, then generates a second recoil; and so on
continually—the vibration eventually ceasing only because at each
movement a certain amount of force goes in creating atmospheric and
etherial undulations. Now it needs but to contemplate this repeated
action and reaction, to see that it is, like every action and reaction,
a consequence of the persistence of force. The force exerted by the
finger in bending the prong cannot disappear. Under what form then does
it exist? It exists under the form of that cohesive tension which it has
generated among the particles. This cohesive tension cannot cease
without an equivalent result. What is its equivalent result? The
momentum generated in the prong while being carried back to its position
of rest. This momentum too—what becomes of it? It must either continue
as momentum, or produce some correlative force of equal amount. It
cannot continue as momentum, since change of place is resisted by the
cohesion of the parts; and thus it gradually disappears by being
transformed into tension among these parts. This is re-transformed into
the equivalent momentum; and so on continuously. If instead of
motion that is directly antagonized by the cohesion of matter, we
consider motion through space, the same truth presents itself under
another form. Though here no opposing force seems at work, and therefore
no cause of rhythm is apparent, yet its own accumulated momentum must
eventually carry the moving body beyond the body attracting it; and so
must become a force at variance with that which generated it. From this
conflict, rhythm necessarily results as in the foregoing case. The force
embodied as momentum in a given direction, cannot be destroyed; and if
it eventually disappears, it re-appears in the reaction on the retarding
Public-domain text, read in full here on John Shaqi.
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