The Energy System of Matter: A Deduction from Terrestrial Energy PhenomenaWeir, James, active 1883-1912
Science
The Energy System of Matter: A Deduction from Terrestrial Energy Phenomena
Weir, James, active 1883-1912
Force and energy
Looking at the operation from another standpoint, it is clear that the
maximum height of the spherical gaseous envelope must also be dependent
on the resistance against which the upward movement of the gas is
carried out, that is, on the value of the gravitative attraction. The
expenditure of energy in the ascent varies directly as the opposing
force; if this force be increased the ultimate height must decrease, and
vice versa. Each particle might be regarded as moving in the ascent
against the action of an invisible spring, stretching it so that with
increase of altitude more and more of the energy of the particle is
transformed or stored in the spring in the extension. When the particle
descends to its original position, the operation is reversed; the
spring is now contracting, and yielding up the stored energy to the
particle in the contraction. The action of the spring would here be
merely that of an apparatus for the storage and return of energy. In the
case of the gaseous mass, we conceive the action of gravitation to be
exactly analogous to that of a spring offering an approximately constant
resistance to extension. (The value of gravity is assumed approximately
constant, and independent of the particle's displacement.) The energy
stored or transformed in the ascension against gravity is returned on
the descent in a precisely similar fashion. The operation is a
completely reversible one. The range of motion of the gaseous mass or
the ultimate height of the gaseous column will thus depend on the value
of the opposing attractive force controlling the motion or, in other
words, on the value of gravity. This value is of course defined by the
relative mass of the planet (§ 20).
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