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What are the scientific reasons 4 why a rubber band travels further if u stretch it back more b4 releasing it?

When flicking a rubber band off a ruler how does the distance it’s pulled back affect the distance it travels when released?

Blain Rinehart is exactly right, a couple of things with that are,

the amount of force u pull it back with=the force of the kinetic energy of the rubber band (ignoring air resistance)
this is due to the conservation of energy law

also the potential energy to amount pulled back ratio would represent an exponential graph, so the further u pull the rubber band back, the less distance is needed to double the potential energy of the rubber band if that makes sence
e.g. if u pull it back from 1 to 4 cm the potential energy may go from 5N to 10N (figures made up i think they should technically be in joules too) but it may only take 1 more cm to go from 10N to 20N of potential energy

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