The former may be compared to money in a bank, or capital, the latter
to money which we are in the act of spending; and just as, when we have
money in a bank, we can draw it out whenever we want it, so, in the
case of energy of position, we can make use of it whenever we please.
To see this more clearly, let us compare together a watermill driven by
a head of water, and a windmill driven by the wind. In the one case we
may turn on the water whenever it is most convenient for us, but in the
other we must wait until the wind happens to blow. The former has all
the independence of a rich man; the latter, all the obsequiousness of
a poor one. If we pursue the analogy a step further, we shall see that
the great capitalist, or the man who has acquired a lofty position, is
respected because he has the disposal of a great quantity of energy;
and that whether he be a nobleman or a sovereign, or a general in
command, he is powerful only from having something which enables him
to make use of the services of others. When the man of wealth pays a
labouring man to work for him, he is in truth converting so much of
his energy of position into actual energy, just as a miller lets out a
portion of his head of water in order to do some work by its means.
_Transmutations of Visible Energy.--A Kilogramme shot upwards._
38. We have thus endeavoured to show that there is an energy of repose
as well as a living energy, an energy of position as well as of motion;
and now let us trace the changes which take place in the energy of a
weight, shot vertically upwards, as it continues to rise. It starts
with a certain amount of energy of motion, but as it ascends, this is
by degrees changed into that of position, until, when it gets to the
top of its flight, its energy is entirely due to position.
To take an example, let us suppose that a kilogramme is projected
vertically upwards with the velocity of 19·6 metres in one second.
According to the formula of Art. 28, it contains 19·6 units of energy
due to its actual velocity.
If we examine it at the end of one second, we shall find that it has
risen 14·7 metres in height, and has now the velocity of 9·8. This
velocity we know (Art. 26) denotes an amount of actual energy equal
to 4·9, while the height reached corresponds to an energy of position
equal to 14·7. The kilogramme has, therefore, at this moment a total
energy of 19·6, of which 14·7 units are due to position, and 4·9 to
actual motion.
If we next examine it at the end of another second, we shall find that
it has just been brought to rest, so that its energy of motion is
_nil_; nevertheless, it has succeeded in raising itself 19·6 metres in
height, so that its energy of position is 19·6.
Public-domain text, read in full here on John Shaqi.
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