121. Let us begin our list of transmutations with the energy of
visible motion. This is changed into _energy of position_ when a stone
is projected upwards above the earth, or, to take a case precisely
similar, when a planet or a comet goes from perihelion, or its position
nearest the sun, to aphelion, or its position furthest from the sun.
We thus see why a heavenly body should move fastest at perihelion, and
slowest at aphelion. If, however, a planet were to move round the sun
in an orbit exactly circular, its velocity would be the same at all the
various points of this orbit, because there would be no change in its
distance from the centre of attraction, and therefore no transmutation
of energy.
122. We have already (Arts. 108, 109) said that the energy in an
oscillating or vibrating body is alternately that of actual motion, and
that of position. In this respect, therefore, a pendulum is similar to
a comet or heavenly body with an elliptical orbit. Nevertheless the
change of energy is generally more complete in a pendulum or vibrating
body than it is in a heavenly body; for in a pendulum, when at its
lowest point, the energy is entirely that of actual motion, while at
its upper point it is entirely that of position. Now, in a heavenly
body we have only a lessening, but not an entire destruction, of the
velocity, as the body passes from perihelion to aphelion--that is to
say, we have only a partial conversion of the one kind of energy into
the other.
123. Let us next consider the change of actual visible energy into
_absorbed heat_. This takes place in all cases of friction, percussion,
and resistance. In friction, for instance, we have the conversion of
work or energy into heat, which is here produced through the rubbing
of surfaces against each other; and Davy has shown that two pieces of
ice, both colder than the freezing point, may be melted by friction.
In percussion, again, we have the energy of the blow converted into
heat; while, in the case of a meteor or cannon ball passing through the
air with great velocity, we have the loss of energy of the meteor or
cannon ball through its contact with the air, and at the same time the
production of heat on account of this resistance.
The resistance need not be atmospheric, for we may set the cannon ball
to pierce through wooden planks or through sand, and there will equally
be a production of heat on account of the resistance offered by the
wooden planks or by the sand to the motion of the ball. We may even
generalize still further, and assert that whenever the visible momentum
of a body is transferred to a larger mass, there is at the same time
the conversion of visible energy into heat.
124. A little explanation will be required to make this point clear.
Public-domain text, read in full here on John Shaqi.
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