Show that if you have a mass (M) distributed of on a spherical shell, that is, on
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Show that if you have a mass \(M\) distributed of on a spherical shell, that is, on a sphere of radius \(R\) hollow inside, and a point mass \(m\) at a distance \(h\) from the sphere, the gravitational potential energy is \(V=-G \frac{m M}{(R+h)}\). This again is equivalent to the fact that all the mass of the spherical shell can be considered to be concentrated in the center of the sphere.
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To show that the gravitational potential energy V between a point mass m at a distance h from a spherical shell of mass M and radius R is given by V f...View the full answer
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