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What is the spring constant of the bow how much work does

Speedy Sue is going to an archery range. At the range she pulls the bowstring back by exerting 0.350m by exerting a fore that will increase from nothing to 250 N uniformly. What is the spring constant of the bow? How much work does Sue do in pulling the arrow back? What is the speed of the arrow as it leaves the bow?

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