MathDB

In a solid sphere of radius

R

the density

\rho

is a function of

r

, the distance from the center of the sphere. If the magnitude of the gravitational force of attraction due to the sphere at any point inside the sphere is

k r^2

, where

k

is a constant, find

\rho

as a function of

r.

Find also the magnitude of the force of attraction at a point outside the sphere at a distance

r

from the center.

Problem Statement