The density of a sphere is given by (r) = C/r. The sphere has a radius of

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The density of a sphere is given by ρ(r) = C/r. The sphere has a radius of 5 m and a mass of 1011 kg.  

(a) Determine the constant C.

(b) Obtain expressions for the gravitational field for (1) r > 5 m, and (2) r < 5 m.

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