My current concept about potential energy is that 'If work is done on a body when it is at a point (taken as zero P.E), it covers some distance. Afterward, when it is allowed to move freely it does the same work. So, I get my work back as if I stored it in that body. But if the body doesn't come back to my assigned value of zero or in other words starts to move away from it then potential energy would be negative'. Refer to the following fig.:
According to my understanding, if the object is taken from point A to B then it had positive P.E.
But if it started to move towards O than it's P.E would be negative. Correct me if I am wrong.
Now here's the Question:
Absolute Gravitational P.E is defined as 'Work done by Gravitational force for moving a body from a certain position to infinity'
Ok, agreed. So it's obvious that if Earth's center (O) is taken as zero P.E then Absolute P.E would be negative.
Now my book says:
Here U is absolute P.E. r is the distance from the center of Earth.
Or in other words, if Workdone is -50 and -5, which one would be greater?