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A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a length of 15 cm.

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A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a length of 15 cm. How much work is done in stretching the spring from 15 cm to 22 cm? Show all steps required to solve the problem. Find k : spring constant by Hook's Law, set up an integral to find the work. Do calculations, and find the resulting work

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