Use the equation of hydrostatic equilibrium to estimate the pressure at the center of the Moon, Earth and Jupiter. (a) Take the simplest approach, approxi- mating the planet to consist of one slab of material with thickness R, the planetary radius. Assume the gravity gp(r) = 8p(R) and use the mean density p(r) = p.
Use the equation of hydrostatic equilibrium to estimate the pressure at the center of the Moon, Earth and Jupiter. (a) Take the simplest approach, approxi- mating the planet to consist of one slab of material with thickness R, the planetary radius. Assume the gravity gp(r) = 8p(R) and use the mean density p(r) = p.
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Transcribed Image Text:Use the equation of hydrostatic equilibrium
to estimate the pressure at the center of the
Moon, Earth and Jupiter.
3GM²
Pc=
(3.21)
(a) Take the simplest approach, approxi-
mating the planet to consist of one slab
of material with thickness R, the planetary
radius. Assume the gravity gp(r)
and use the mean density p(r) = p.
87 R
|
8p(R)
(b) Assume the density of each planet to be
constant throughout its interior and derive
an expression for the pressure in a planet's
interior as a function of distance r from
the center. (Hint: You should get equation
(3.21).)
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