The constant relation, between the acting force and the change of
momentum it produces in a body, has led to the adoption of a convenient
C.G.S. unit of force called the _dyne_. _The dyne is that force which
can impart to a mass of one gram a change of velocity at the rate of one
centimeter per second every second._ This definition assumes that the
body acted upon is free to move without hindrance of any kind, so that
the acting force has to overcome only the _inertia_ of the body.
_However_, the _law_ applies in every case of application of force, so
that each force produces its full effect independently of other forces
that may be acting at the same time upon the body.
=80. Newton's Third Law.=--This law has been experienced by everyone who
has jumped from a rowboat near the shore. The muscular action that
pushes the body forward from the boat also pushes the boat backward,
often with awkward results. The law is stated: _To every action, there
is always an opposite and equal reaction, or the mutual actions of any
two bodies are always equal and opposite in direction_. Many
illustrations of this law are in every one's mind: a stretched rope
pulls with the same force in one direction as it does in the opposite
direction. If a bat hits a ball, the ball hits the bat with an equal and
opposite force. The third law is therefore sometimes called the law of
_reaction_. When a weight is hung upon a spring balance the action of
the weight pulls down the spring until it has stretched sufficiently
(Hooke's Law) to produce an elastic _reaction_ that equals and hence
supports the weight. When a man stands at the center of a plank
supported at its ends, the action of the man's weight bends the plank
until the elastic force developed in the plank equals the weight
applied. Further, when a train or a wagon is on a bridge the bridge
yields until it has developed an elastic reaction equal to the weight
applied. If a person stands in the center of a room, the floor beams
yield until the third law is satisfied. In fact, whenever a force acts,
a contrary equal force always acts.
=81. Stress and Strain.=--A pair of forces that constitute an action and
a reaction is called a _stress_. The two forces are two parts of one
_stress_. If the two forces act away from each other, as in the breaking
of a string, the stress is called a _tension_, but if they act toward
each other as in crushing anything, the stress is called a _pressure_.
In order for a body to exert force it must meet with resistance. The
force exerted is never greater than the resistance encountered. Thus one
can exert but little force upon a feather floating in the air or upon
other light objects. A fast moving shot exerts no force unless it
encounters some resistance.
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