8. (10pts) A giant spring has a natural length of 8 feet. It takes 180 foot-pounds of work to stretch it from 10 feet to
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8. (10pts) A giant spring has a natural length of 8 feet. It takes 180 foot-pounds of work to stretch it from 10 feet to
8. (10pts) A giant spring has a natural length of 8 feet. It takes 180 foot-pounds of work to stretch it from 10 feet to 12 feet. (a) Find k, the force constant, for the spring. (b) Use integration to show how much work is done in stretching the spring from 9 feet to 11 feet? (c) Use integration to show how much work is done in compressing the spring from 8 feet to 5 feet?
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