Independently of the obstructions to the continuation of motion arising
from friction, there is another impediment to which all motions on the
surface of the earth are liable--the resistance of the air. How much
this may affect the continuation of motion appears by many familiar
effects. On a calm day carry an open umbrella with its concave side
presented in the direction in which you are moving, and a powerful
resistance will be opposed to your progress, which will increase with
every increase of the speed with which you move.
(43.) We are not, however, without direct experience to prove, that
motions when unresisted will for ever continue. In the heavens we find
an apparatus, which furnishes a sublime verification of this principle.
There, removed from all casual obstructions and resistances, the vast
bodies of the universe roll on in their appointed paths with unerring
regularity, preserving without diminution all that motion which they
received at their creation from the hand which launched them into
space. This alone, unsupported by other reasons, would be sufficient
to establish the quality of inertia; but viewed in connection with the
other circumstances previously mentioned, no doubt can remain that this
is an universal law of nature.
(44.) It has been proved, that inability to change the _quantity_ of
motion is a consequence of _inertia_. The inability to change the
_direction_ of motion is another consequence of this quality. The same
cause which increases or diminishes motion, would also give motion
to a body at rest; and therefore we infer that the same inability
which prevents a body from moving itself, will also prevent it from
increasing or diminishing any motion which it has received. In the
same manner we can show, that any cause which changes the direction of
motion would also give motion to a body at rest; and therefore if a
body change the direction of its own motion, the same body might move
itself from a state of rest; and therefore the power of changing the
direction of any motion which it may have received is inconsistent with
the quality of inertia.
(45.) If a body, moving from A, _fig. 3._ to B, receive at
B a blow in the direction C B E, it will immediately
change its direction to that of another line B D. The cause which
produces this change of direction would have put the body in motion in
the direction B E, had it been quiescent at B when it sustained
the blow.
(46.) Again, suppose G H to be a hard plane surface; and let the
body be supposed to be perfectly inelastic. When it strikes the surface
at B, it will commence to move along it in the direction B H. This
change of direction is produced by the resistance of the surface. If
the body, instead of meeting the surface in the direction A B, had
moved in the direction E B, perpendicular to it, all motion would
have been destroyed, and the body reduced to a state of rest.
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