The Story of the HeavensBall, Robert S. (Robert Stawell)
History
The Story of the Heavens
Ball, Robert S. (Robert Stawell)
Astronomy
In the chapter on Gravitation it was pointed out that the intensity of
this force between two masses of moderate dimensions was extremely
minute, and the difficulty in weighing the earth arises from this cause.
The practical application of the process is encumbered by multitudinous
details, which it will be unnecessary for us to consider at present. The
principle of the process is simple enough. To give definiteness to our
description, let us conceive a large globe about two feet in diameter;
and as it is desirable for this globe to be as heavy as possible, let us
suppose it to be made of lead. A small globe brought near the large one
is attracted by the force of gravitation. The amount of this attraction
is extremely small, but, nevertheless, it can be measured by a refined
process which renders extremely small forces sensible. The intensity of
the attraction depends both on the masses of the globes and on their
distance apart, as well as on the force of gravitation. We can also
readily measure the attraction of the earth upon the small globe. This
is, in fact, nothing more nor less than the weight of the small globe in
the ordinary acceptation of the word. We can thus compare the
attraction exerted by the leaden globe with the attraction exerted by
the earth.
If the centre of the earth and the centre of the leaden globe were at
the same distance from the attracted body, then the intensity of their
attractions would give at once the ratio of their masses by simple
proportion. In this case, however, matters are not so simple: the leaden
ball is only distant by a few inches from the attracted ball, while the
centre of the earth's attraction is nearly 4,000 miles away at the
centre of the earth. Allowance has to be made for this difference, and
the attraction of the leaden sphere has to be reduced to what it would
be were it removed to a distance of 4,000 miles. This can fortunately be
effected by a simple calculation depending upon the general law that the
intensity of gravitation varies inversely as the square of the distance.
We can thus, partly by calculation and partly by experiment, compare the
intensity of the attraction of the leaden sphere with the attraction of
the earth. It is known that the attractions are proportional to the
masses, so that the comparative masses of the earth and of the leaden
sphere have been measured; and it has been ascertained that the earth is
about half as heavy as a globe of lead of equal size would be. We may
thus state finally that the mass of the earth is about five and a half
times as great as the mass of a globe of water equal to it in bulk.
Public-domain text, read in full here on John Shaqi.
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