If a spring has a constant of #9 (kg)/s^2#, how much work will it take to extend the spring by #22 cm #?
The work done in extending the spring a distance, e, is given by the area under the force-extension graph for the spring. This equals:
for a spring that obeys Hooke's law.
The relationship between force and extension is given by
If you substitute the above into the first equation you arrive at: