If a number of balls are arranged in line as in Figure 168 or Figure
169, and the end ball is raised and then allowed to fall, or if _A_ is
pushed against _C_, the last ball _B_ will move outward alone, with a
force nearly equal to that originally possessed by _A_ and to a
distance nearly equal to that through which _A_ moved. But there will
be no _visible_ motion of the intervening balls. The force of the
moving ball _A_ is given to the second ball, and the second ball in
turn gives the motion to the third, and so on throughout the entire
number, until _B_ is reached. But _B_ has no ball to give its motion
to, hence _B_ itself moves outward, and moves with a force nearly
equal to that originally imparted by _A_ and to a distance nearly
equal to that through which _A_ fell. Motion at _A_ is transmitted to
_B_ without any perceptible motion of the balls lying between these
points. Similarly the particles of air set into motion by a sounding
body impart their motion to each other, the motion being transmitted
onward without any perceptible motion of the air itself. When this
motion reaches the ear, it sets the drum of the ear into vibration,
and these vibrations are in turn transmitted to the auditory nerves,
which interpret the motion as sound.
[Illustration: FIG. 169.--Elastic balls transmit motion.]
[Illustration: FIG. 170.--When a ball meets more than one ball, it
divides its motion.]
253. Why Sound dies away with Distance. Since the last ball _B_ is
driven outward with a force nearly equal to that possessed by _A_, it
would seem that the effect on the ear drum should be independent of
distance and that a sound should be heard as distinctly when remote as
when near. But we know from experience that this is not true, because
the more distant the source of sound, the fainter the impression; and
finally, if the distance between the source of sound and the hearer
becomes too great, the sound disappears entirely and nothing is heard.
The explanation of this well-known fact is found in a further study of
the elastic balls (Fig. 170). If _A_ hits two balls instead of one,
the energy possessed by _A_ is given in part to one ball, and in part
to the other, so that neither obtains the full amount. These balls,
having each received less than the original energy, have less to
transmit; each of these balls in turn meets with others, and hence the
motion becomes more and more distributed, and distant balls receive
less and less impetus. The energy finally given becomes too slight to
affect neighboring balls, and the system comes to rest. This is what
occurs in the atmosphere; a moving air particle meets not one but many
adjacent air particles, and each of these receives a portion of the
original energy and transmits a portion. When the original disturbance
becomes scattered over a large number of air particles, the energy
given to any one air particle becomes correspondingly small, and
finally the energy becomes so small that further particles are not
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