Philosophy in Sport Made Science in Earnest: Being an Attempt to Illustrate the First Principles of Natural Philosophy by the Aid of Popular Toys and SportsParis, John Ayrton
Science
Philosophy in Sport Made Science in Earnest: Being an Attempt to Illustrate the First Principles of Natural Philosophy by the Aid of Popular Toys and Sports
Paris, John Ayrton
Science -- Juvenile literature
“You are perfectly right; and gravity may either act in occasioning the
one or the other; our experiment at the well this morning afforded you
an example of gravity producing a regularly accelerated motion. I did
not fully explain the fact at the time, because I was desirous of
avoiding too many new ideas at once; we must win our way slowly and
cautiously through the mazes of philosophy: I will, however, now
endeavour to give you as clear an explanation as the subject will
allow.--It is, I think, evident, that if, at the moment you dropped the
stone from your hand, the force of gravity could have been suspended,
it would have descended to the bottom of the well with a uniform
velocity; because there could have been nothing either to accelerate or
retard its motion. But this was not the case, for the power of gravity
was in constant operation; and, if you keep this fact in mind, you will
readily understand how the velocity became accelerated: for, suppose
the impulse given by gravity to the stone, during the first instant of
its descent, be equal to _one_, the next instant we shall find that an
additional impulse gives the stone an additional velocity equal to
_one_, so that the accumulated velocity is now equal to two; the
following instant, again, increases the velocity to _three_, and so on
till the stone reaches the bottom.”
Mr. Twaddleton observed, the fact might be shortly expressed by saying,
that “the effects of preceding impulses must be added to subsequent
velocities.”
Mr. Seymour then remarked that the same explanation would apply to
_retarded_ velocity. “If,” said he, “you throw a stone perpendicularly
upwards, the velocity will be as much _retarded_, as it was in the
other case _accelerated_, by gravity; the consequence of which is, that
it will be exactly the same length of time ascending that it was
descending.”
“I should have thought the very reverse,” cried Louisa, “and that it
would have fallen quicker than it rose.”
“You have forgotten to take into account the force with which the stone
is projected upwards, and which is destroyed by gravity before it
begins to descend.”
“Certainly,” answered Louisa; “but the force given to a stone in
throwing it upwards, cannot always be equal to the force of gravity in
bringing it down again; for the force of gravity is always the same,
while the force given to the stone is entirely optional. I may throw it
up gently or otherwise, as I please.”
Public-domain text, read in full here on John Shaqi.
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