Proof of gravitational potential energy.
Work done by gravity in bringing mass from infinity to a distance of $r$ between masses.
When we use the integration formula and arrive at the answer we get $-GMm/r$ taking lower limit as infinity and upper as $r$.
But this work should be positive as force and displacement are in same direction.
Please explain.
If my proof was wrong, then tell any other satisfying proof for GPE.
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