Lord Kelvin: An account of his scientific life and workGray, Andrew
Science
Lord Kelvin: An account of his scientific life and work
Gray, Andrew
Kelvin, William Thomson, Baron, 1824-1907
because it persistently refuses to turn sweet unless the sugar is put
into it?"
This innate power of resisting is merely the _materiæ vis insita_ of
Newton's "Definitio III," given in the Principia, and the statement to
which Maxwell objects is only a free translation of that definition.
Moreover, when a body is drawn or pushed by other bodies, it reacts on
those bodies with an equal force, and this reaction is just as real as
the action: its existence is due to the inertia of the body. The
definition, from one point of view, is only a statement of the fact that
the acceleration produced in a body in certain circumstances depends
upon the body itself, as well as on the other bodies concerned, but from
another it may be regarded as accounting for the reaction. The mass or
inertia of the body is only such a number that, for different bodies in
the same circumstances as to the action of other bodies in giving them
acceleration, the product of the mass and the acceleration is the same
for all. It is, however, a very important property of the body, for it
is one factor of the quantum of kinetic energy which the body
contributes to the energy of the system, in consequence of its motion
relatively to the chosen axes of reference, which are taken as at rest.
The relativity of motion is not emphasised so greatly in the _Natural
Philosophy_ as in some more modern treatises, but it is not overlooked;
and whatever may be the view taken as to the importance of dwelling on
such considerations in a treatise on dynamics, there can be no doubt
that the return to Newton was on the whole a salutary change of the
manner of teaching the subject.
The treatment of force in the first and second laws of motion is frankly
causal. Force is there the cause of rate of change of momentum; and this
view Professor Tait in his own writings has always combated, it must be
admitted, in a very cogent manner. According to him, force is merely
rate of change of momentum. Hence the forces in equations of motion are
only expressions, the values of which as rates of change of momentum,
are to be made explicit by the solution of such equations in terms of
known quantities. And there does not seem to be any logical escape from
this conclusion, though, except as a way of speaking, the reference to
cause disappears.
Public-domain text, read in full here on John Shaqi.
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