Classics of modern science : $b (Copernicus to Pasteur)
History
Classics of modern science : $b (Copernicus to Pasteur)
Science; Science -- History
In the case before us, therefore, we had first power in the form of
a falling mass of water, then in the form of a lifted hammer, and,
thirdly, in the form of the living force of the fallen hammer. We
should transform the third form into the second, if we, for example,
permitted the hammer to fall upon a highly elastic steel beam strong
enough to resist the shock. The hammer would rebound, and in the most
favourable case would reach a height equal to that from which it
fell, but would never rise higher. In this way its mass would ascend:
and at the moment when its highest point has been attained, it would
represent the same number of raised foot-pounds as before it fell,
never a greater number; that is to say, living force can generate the
same amount of work as that expended in its production. It is therefore
equivalent to this quantity of work.
Our clocks are driven by means of sinking weights, and our watches by
means of the tension of springs. A weight which lies on the ground, an
elastic spring which is without tension, can produce no effects; to
obtain such we must first raise the weight or impart tension to the
spring, which is accomplished when we wind up our clocks and watches.
The man who winds the clock or watch communicates to the weight or
to the spring a certain amount of power, and exactly so much as is
thus communicated is gradually given out again during the following
twenty-four hours, the original force being thus slowly consumed
to overcome the friction of the wheels and the resistance which the
pendulum encounters from the air. The wheel-work of the clock therefore
exhibits no working force which was not previously communicated to it,
but simply distributes the force given to it uniformly over a longer
time.
Into the chamber of an air-gun we squeeze, by means of a condensing
air-pump, a great quantity of air. When we afterwards open the cock of
a gun and admit the compressed air into the barrel, the ball is driven
out of the latter with a force similar to that exerted by ignited
powder. Now we may determine the work consumed in the pumping-in of the
air, and the living force which, upon firing, is communicated to the
ball, but we shall never find the latter greater than the former. The
compressed air has generated no working force, but simply gives to the
bullet that which has been previously communicated to it. And while we
have pumped for perhaps a quarter of an hour to charge the gun, the
force is expended in a few seconds when the bullet is discharged; but
because the action is compressed into so short a time, a much greater
velocity is imparted to the ball than would be possible to communicate
to it by the unaided effort of the arm in throwing it.
Public-domain text, read in full here on John Shaqi.
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