Science for the School and Family, Part I. Natural PhilosophyHooker, Worthington
Science
Science for the School and Family, Part I. Natural Philosophy
Hooker, Worthington
Physics; Science
205. =Communication of Motion in Elastic Bodies.=--Momentum is
transferred from one body to another very differently in elastic
from what it is in non-elastic bodies. As you saw in § 201, when
one non-elastic body strikes upon another the momentum is divided
between them, and both move on together. Now if _a_ and _b_, Fig.
133, were elastic bodies, as ivory balls, and _b_ should be let
fall against _a_, it would give all its momentum to _a_. Therefore
_b_ would stop, and _a_ would move on to the same height from
which _b_ came. The reason is, that the velocity lost by _b_ and
received by _a_ is just double what it would be if the balls were
non-elastic. For the same reason, if _a_ and _b_, being elastic,
meet each other from equal heights on the arc, they will both
rebound, and return to the same heights from which they came. But
if non-elastic they simply destroy each other's momentum and stop.
The effect produced in the former case is just twice as great as
in the latter, as you may see by reckoning on the arc. For the
same reason, too, if you have a row of elastic balls, as in Fig.
134, and let _a_ fall from the point _i_ upon _b_, it will stop
there; and communicating all its momentum to _b_, this momentum
will pass from _b_ to _c_, and so on through all the row of balls
to _e_, the last one, which will fly off to the point _h_, at the
same height with _i_, the point from which _a_ fell. If _b_ be held
still, and _a_ be let fall upon it, _a_ will rebound to the height
from which it fell, for then the compressed elastic spring (§ 39)
of each ball, as _b_ is immovable, communicates all the motion to
_a_. It is for this reason that an elastic ball, on being thrown
against any thing fixed, rebounds. If what it is thrown against be
perfectly elastic it rebounds with a force equal to that with which
it is thrown.
[Illustration: Fig. 135.]
206. =Reflection of Motion.=--If an elastic body be thrown
perpendicularly upon a surface it rebounds in the same path in
which it is thrown. But if it hit the surface obliquely it is
thrown off or reflected in a different direction. Thus a ball
thrown from _b_ upon _c_, Fig. 135 (p. 158), will return in the
line drawn to _b_. But if it be thrown from _d_ it will be
reflected in the line _c a_. Now the angle _d c b_, called the
angle of incidence, is always equal to _b c a_, the angle of
reflection. The same, you will find in other parts of this book, is
true of sound and light and heat.
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