2) A very rough estimate for a star is given by the density profile: p1) = P. (1-) where p, is the central density, r is a radius, and R is the star's total radius. c) For this simple density profile, show that the central pressure is: 57 P. =Gp R? 36 where G is the gravitational constant, and R is the total radius.

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2) A very rough estimate for a star is given by the density profile:
p1) = P. (1-)
where p, is the central density, r is a radius, and R is the star's total radius.
c) For this simple density profile, show that the central pressure is:
57
P. =Gp R?
36
where G is the gravitational constant, and R is the total radius.
Transcribed Image Text:2) A very rough estimate for a star is given by the density profile: p1) = P. (1-) where p, is the central density, r is a radius, and R is the star's total radius. c) For this simple density profile, show that the central pressure is: 57 P. =Gp R? 36 where G is the gravitational constant, and R is the total radius.
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