A View of Sir Isaac Newton's PhilosophyPemberton, Henry
Science
A View of Sir Isaac Newton's Philosophy
Pemberton, Henry
Newton, Isaac, 1642-1727. Principia
16. IN the first case, if the parts of the fluid be wholly disingaged
from one another, so that each particle is at liberty to move all ways
without any impediment, it is shewn, that if a globe move in such
a fluid, and the globe and particles of the fluid are endued with
perfect elasticity; so that as the globe impinges upon the particles
of it, they shall bound off and separate themselves from the globe,
with the same velocity, with which the globe strikes upon them; then
the resistance, which the globe moving with any known velocity suffers,
is to be thus determined. From the velocity of the globe, the time,
wherein it would move over two third parts of its own diameter with
that velocity, will be known. And such proportion as the density of the
fluid bears to the density of the globe, the same the resistance given
to the globe will bear to the force, which acting, like the power of
gravity, on the globe without intermission during the space of time now
mentioned, would generate in the globe the same degree of motion, as
that wherewith it moves in the fluid[122]. But if neither the globe nor
the particles of the fluid be elastic, so that the particles, when the
globe strikes against them, do not rebound from it, then the resistance
will be but half so much[123]. Again, if the particles of the fluid and
the globe are imperfectly elastic, so that the particles will spring
from the globe with part only of that velocity wherewith the globe
impinges upon them; then the resistance will be a mean between the two
preceding cases, approaching nearer to the first or second, according
as the elasticity is more or less[124].
17. THE elasticity, which is here ascribed to the particles of the
fluid, is not that power of repelling one another, when out of
contact, by which, as has before been mentioned, the whole fluid may be
rendred elastic; but such an elasticity only, as many solid bodies have
of recovering their figure, whenever any forcible change is made in it,
by the impulse of another body or otherwise. Which elasticity has been
explained above at large[125].
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