The density of a sphere is giving by p(r)=C/r. The sphere has a radius of 5.0 m and a mass of 1.0*10^11kg. (a) Determine the constant C  (b) Obtain expressions for the gravitational field for the regions (1) r > 5.0m, and (2) r<5.0m.

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80. The density of a sphere is giving by p(r)=C/r. The sphere has a radius of 5.0 m and a mass of 1.0*10^11kg. (a) Determine the constant C  (b) Obtain expressions for the gravitational field for the regions (1) r > 5.0m, and (2) r<5.0m.

A small-diameter hole is drilled into the sphere of problem 80 (As described above) towards the center of the sphere to a depth of 2.0m below the sphere's surface. A small mass is dropping from the surface into the hole. Determine the speed of the small mass when it strikes the bottom of the hole.

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