Consider a sphere of mass M and radius R. Calculate the gravitational potential energy of the...

 

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Consider a sphere of mass M and radius R. Calculate the gravitational potential energy of the sphere assuming (a) a density which is independent of the distance from the centre, and (b) a density which increases towards the centre according to p(r) = pc(1 r/R). In both cases, (a) and (b), write down the average internal pressure needed for hydrostatic equilibrium, and determine how the pressure within the sphere depends on the distance from the centre. Consider a sphere of mass M and radius R. Calculate the gravitational potential energy of the sphere assuming (a) a density which is independent of the distance from the centre, and (b) a density which increases towards the centre according to p(r) = pc(1 r/R). In both cases, (a) and (b), write down the average internal pressure needed for hydrostatic equilibrium, and determine how the pressure within the sphere depends on the distance from the centre.

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a Gravitational Potential Energy for a Sphere with Constant Density The gravitational potential energy of a sphere with constant density can be calcul... View the full answer