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Working with energy dissipation mechanisms is difficult because the forces produced by the rubber bands is a function of stretch distance. In regards to our impact design, the force would vary over the time of impact. The easiest way to describe a varying force in the case of an impact is using the principle of impulse and momentum. The equation:
:<math>\int_{t1}^{t2} \sum F\,dt = mv_2 - mv_1</math>
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