Given that a certain spring has a natural length of 9 meters, and that it takes...

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Given that a certain spring has a natural length of 9 meters, and that it takes 12 Joules to stretch the spring to 16 meters: (a) Find the spring constant k. Give the the exact answer. Note: Joules represents a unit for work, not force. k = (b) Set up the integral for the work required to stretch the spring from 16 meters to 17 meters. Do not evaluate. W = I W = (c) Evaluate the integral for the work required. Give the exact answer. dx Joules Given that a certain spring has a natural length of 9 meters, and that it takes 12 Joules to stretch the spring to 16 meters: (a) Find the spring constant k. Give the the exact answer. Note: Joules represents a unit for work, not force. k = (b) Set up the integral for the work required to stretch the spring from 16 meters to 17 meters. Do not evaluate. W = I W = (c) Evaluate the integral for the work required. Give the exact answer. dx Joules

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a To find the spring constant k we can use Hookes Law which states that the force exerted by a sprin... View the full answer