Question

In a star with mass M, assume that the density decreases from the centre to the surface as a function of radius r according to ? = ?c [1 - (r/R)^2] where ?c is a given constant and R is the radius of the star. (a) Write a relation for the total mass enclosed in a radius r1 of the star (b) Find the total mass M of the star (c) Find an expression for the central density in terms of R and M and average density ?a

          In a star with mass M, assume that the density decreases from the centre to the surface as a function of radius r according to 
? = ?c [1 - (r/R)^2]
where ?c is a given constant and R is the radius of the star.
(a) Write a relation for the total mass enclosed in a radius r1 of the star
(b) Find the total mass M of the star
(c) Find an expression for the central density in terms of R and M and average density ?a

In a star with mass M, assume that the density decreases from the centre to the surface as a function of radius r according to
? = ?c [1 - (r/R)^2]
where ?c is a given constant and R is the radius of the star.
(a) Write a relation for the total mass enclosed in a radius r1 of the star
(b) Find the total mass M of the star
(c) Find an expression for the central density in terms of R and M and average density ?a

Added by John M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Supreeta N

07/26/2023

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In a star with mass M, assume that the density decreases from the centre to the surface as a function of radius r according to p=p1- where pc is a given constant and R is the radius of the star. (b) Find the total mass Mof the star (c) Find an expression for the central density in terms of R and M and average density Pa