how can I prove that as an object connected to rubber band gains more mass and the rubber band stretches, that more force is being applied to the rubber band? are there any equations for this?
This is only true in areas with gravity, and so you would equate the gravitational potential energy equation with the elastic potential equation.

mass x gravitational force x delta-height = force compression constant x distance of compression

And then take into account Newton's law that every action has an equal and opposite reaction.
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thanks for the quick reply and your answer

i should have remembered the third law..thanks though