Finally, consider the gravitational force generated by a spherically symmetrical massive object. The magnitude and direction of

Question

Finally, consider the gravitational force generated by a spherically symmetrical massive object. The magnitude and direction of such a force are given by Newton's law of gravity:
FG = - Gm1m2r/r^2
where ds = dr r; G, m₁, and m2 are constants; and r > 0. Find 
U(rf)-U(ro) =-∫FG.ds
Express your answer in terms of G, m₁, m2, ro, and rf.

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