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
74. SIR ~ISAAC NEWTON~ has described these experiments;
and has shewn how to improve them to a greater exactness by making
allowance for the resistance, which the air gives to the motion of the
balls[67]. But as this resistance is exceeding small, and the manner
of allowing for it is delivered by himself in very plain terms, I need
not enlarge upon it here. I shall rather speak to a discovery, which
he made by these experiments upon the elasticity of bodies. It has
been explained above[68], that when two bodies strike, if they be not
elastic, they remain contiguous after the stroke; but that if they
are elastic, they separate, and that the degree of their elasticity
determines the proportion between the celerity wherewith they separate,
and the celerity wherewith they meet. Now our author found, that the
degree of elasticity appeared in the same bodies always the same, with
whatever degree of force they struck; that is, the celerity wherewith
they separated, always bore the same proportion to the celerity
wherewith they met: so that the elastic power in all the bodies, he
made trial upon, exerted it self in one constant proportion to the
compressing force. Our author made trial with balls of wool bound up
very compact, and found the celerity with which they receded, to bear
about the proportion of 5 to 9 to the celerity wherewith they met; and
in steel he found nearly the same proportion; in cork the elasticity
was something less; but in glass much greater; for the celerity,
wherewith balls of that material separated after percussion, he found
to bear the proportion of 15 to 16 to the celerity wherewith they
met[69].
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