Motion is sometimes distinguished into _absolute_ and _relative_. What
“relative motion” means is easily explained. If a man walk upon the
deck of a ship from stem to stern, he has a relative motion which is
measured by the space upon the deck over which he walks in a given
time. But while he is thus walking from stem to stern, the ship and
its contents, including himself, are impelled through the deep in
the opposite direction. If it so happen that the motion of the man,
from stem to stern, be exactly equal to the motion of the ship in the
contrary way, the man will be, relatively to the surface of the sea
and that of the earth, at rest. Thus, relatively to the ship, he is in
motion, while, relatively to the surface of the earth, he is at rest.
But still this is not absolute rest. The surface itself is moving by
the diurnal rotation of the earth upon its axis, as well as by the
annual motion in its orbit round the sun. These motions, and others to
which the earth is subject, must be all compounded by the theorem of
the parallelogram of forces before we can obtain the _absolute state_
of the body with respect to motion or rest.
CHAP. VI.
ATTRACTION.
(92.) Whatever produces, or tends to produce, a change in the state
of a particle or mass of matter with respect to motion or rest, is a
force. Rest, or uniform rectilinear motion, are therefore the only
states in which any body can exist which is not subject to the present
action of some force. We are not, however, entitled to conclude, that
because a body is observed in one or other of these states, it is
therefore uninfluenced by any forces. It may be under the immediate
action of forces which neutralise each other: thus two forces may be
acting upon it which are equal, and in opposite directions. In such
a case, its state of rest, or of uniform rectilinear motion, will be
undisturbed. The state of uniform rectilinear motion declares more with
respect to the body than the state of rest; for the former betrays the
action of a force upon the body at some antecedent period; this action
having been suspended, while its effect continues to be observed in the
motion which it has produced.
(93.) When the state of a body is changed from rest to uniform
rectilinear motion, the action of the force is only momentary, in which
case it is called an _impulse_. If a body in uniform rectilinear motion
receive an impulse in the direction in which it is moving, the effect
will be, that it will continue to move uniformly in the same direction,
but its velocity will be increased by the amount of speed which the
impulse would have given it had it been previously quiescent. Thus, if
the previous motion be at the rate of ten feet in a second, and the
impulse be such as would move it from a state of rest at five feet in
a second, the velocity, after the impulse, will be fifteen feet in a
second.
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