In a certain region of space gravitational field is given by `I = - (k//r)`. Taking the reference point to be at `r = r_(0)`, with gravitational potential `V = V_(0)`, find the gravitational potential at distance `r`.

Explanation

`V_(r)-V_(r_(0))=-int_(r_(0))^(r) vecE.dvecr`
`-int_(r_(0))^(r) E.dr`
`=-int_(r_(0))^(r) -k/r dr`
`=K|log_(e)r|_(r_(0))^(r)`
`V-V_(0)=K(log_(e)r-log_(e) r_(0))`
`V=V_(0)+Klog_(e)(r/(r_(0)))`