Thermodynamics, Statistical Physics, and Quantum Mechanics

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2 km; i.e., However,therewill be no forceacting on the

Earth. Thesystem (Earth + surroundingair) is no longer symmetric (see

FigureS.4.3a). Thesymmetricsystem would be the onewith no air on

the opposite side of theEarth(seeFigureS.4.3b).Therefore, there will be

a force between this additional air, which can be treated as a “negative”

mass, and theEarth(seeFigure S.4.3c):

where and are the mass and radius of theEarth,respectively, and

G is the gravitationalconstant. So, the Archimedesforce is completely

canceled by thegravitational forcefrom theair. Perhapsthat is why the

Baron shelved his idea.

4.4 Railway Tanker (Moscow Phys-Tech)

The new equilibriumpressure of the gaswill be thesamethroughout the
tanker,whereas thetemperatureacross itslength will vary: higher at the

THERMODYNAMICS AND STATISTICAL PHYSICS

to find theforce

where we approximate theacceleration due togravity as constant up to