15. We may even extend the law to cases in which we do not perceive
the recoil or reaction at all. Thus, if I drop a stone from the
top of a precipice to the earth, the motion seems all to be in one
direction, while at the same time it is in truth the result of a mutual
attraction between the earth and the stone. Does not the earth move
also? We cannot see it move, but we are entitled to assert that it
does in reality move upwards to meet the stone, although quite to an
imperceptible extent, and that the law of action and reaction holds
here as truly as in a rifle, the only difference being that in the
one case the two objects are rushing together, while in the other
they are rushing apart. Inasmuch, however, as the mass of the earth
is very great compared with that of the stone, it follows that its
velocity must be extremely small, in order that the mass of the earth,
multiplied into its velocity upwards, shall equal the mass of the
stone, multiplied into its velocity downwards.
16. We have thus, in spite of our ignorance of the ultimate atoms and
molecules of matter, arrived at a general law which regulates the
action of internal forces. We see that these forces are always mutually
exerted, and that if A attracts or repels B, B in its turn attracts or
repels A. We have here, in fact, a very good instance of that kind of
generalization, which we may arrive at, even in spite of our ignorance
of individuals.
But having now arrived at this law of action and reaction, do we know
all that it is desirable to know? have we got a complete understanding
of what takes place in all such cases--for instance, in that of the
rifle which is just discharged? Let us consider this point a little
further.
_The Rifle further considered._
Public-domain text, read in full here on John Shaqi.
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