Suppose a long spring is attached to a wall. A force of 50 newtons is necessary to hold the spring stretched to a length of 6 meters and a force of 100 newtons is necessary to hold the spring stretched to a length of 8 meters. (a) Find the natural length of this spring and its Hooke's constant in (b) Find the amount of work necessary to stretch this spring from 6 meters long to 8 meters long.

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