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    gravitational self-energy of a uniform sphere

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    ** Please see the attached file for full problem statement **
    Please show all work.

    Show that the gravitational self-energy (energy of assembly piecewise from infinity) of a uniform sphere of mass M and radius R is:
    U= -3/5 GM^2/R

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    Solution Summary

    This solution shows how to calculate the gravitational self-energy of a uniform sphere in detail.