A force is applied to an ideal spring (initially in its equilibrium position) and does 1.9 JJ of work stretching it 2.2 cmcm . How much work is required to stretch the spring by 6.5 cmcm from its equilibrium position?

W=16.58J

Explanation:

initial information we have

work:

stretched distance:

from this, we can find the value of the constant of the spring k, with the equation for work in a spring:

substituting known values:

and clearing for k:

and now we want to know how much work is done when we stretch the spring a distance of 6.5cm from equilibrium, so now x is:

and using the same formula for work, with the value of k that we just found:

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