The facts, the sovereign judges and criteria, show in this case that
the new mechanics corresponds to reality; the earlier mechanics does
not, at least in its traditional form. Here is something, therefore,
which enables us to see at once the profound truth (scientific truth
being what is verifiable), the beauty, of the doctrine of Einstein:
something which shows us, superbly, how a scientific, a physical,
theory differs from an arbitrary and more or less consistent
philosophical system.
Experience, the supreme judge, decides in favour of the Einsteinian
mechanics against the older mechanics. We shall see further examples;
and we shall not find a single case in which the verdict is the other
way.
* * * * *
Let us turn now to a different matter. The new law of composition
of velocities and the resistance of a velocity-limit equal to that
of light may be expressed in a different language from that we have
hitherto used. Up to this we have spoken only of velocities and
movements. Let us see how these things look when we at the same time
examine the particular qualities of the moving objects, of bodies, of
matter.
Everybody knows that the characteristic feature of matter is what we
call inertia. If matter is at rest, a force is needed to set it in
motion. If it is in motion, it needs a force to stop it. It needs
one to accelerate the movement and one to alter the direction. This
resistance which matter offers to the forces which tend to modify its
condition of rest or movement is what we call _inertia_. But
different bodies may offer a different degree of resistance to these
forces. If a force is applied to an object, it will give it a certain
acceleration. But the same force applied to another object will, as a
rule, give it a different acceleration. A race-horse making a supreme
effort will get along much more quickly under a small jockey than under
a man of fifteen stone. A draught-horse will run more quickly if the
cart it draws is empty than if it is full of goods. You can start a
perambulator with a push that would be useless in the case of a heavy
truck.
When a locomotive with a few coaches suddenly starts, the velocity
imparted to the train during the first second is what we call its
acceleration. If the same locomotive starts, in the same conditions,
with a much longer train, we see that the acceleration is less. Hence
the idea, introduced into science by Newton, of the _mass_ of
bodies, which is the measure of their inertia.
If in our example the locomotive produces in the second case an
acceleration only half as great, we express this by saying that the
mass of the second train is double that of the first. If we find that
the acceleration produced by the locomotive is the same for three
trucks loaded with wheat as for a single truck loaded with metal, we
see that the two trains are equal in mass.
Public-domain text, read in full here on John Shaqi.
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