Show that given is self energy of uniform sphere of mass m

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The internal gravitational potential energy of a system of masses is sometimes called the self energy of the system. (The reference configuration is taken to be one in which the particles are all a great distance from each other.) Show that the self energy of a uniform sphere of mass M and radius R is -3M2G/5R.

[Imagine that the sphere is built up by the addition of successive thin layers of matter brought in from infinity.]

Reference no: EM131383328

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