The work is the same as the energy you put into it to compress it (work-energy theorem) This is given by
[tex]W= \frac{1}{2}k x^{2} [/tex]
We must put compression in meters, x=0.01m, and then
[tex]W= \frac{1}{2}167 \frac{N}{m} (0.01)^{2} = 0.00835J[/tex]
