How Much Work is Done When Separating Two Opposite Pole Magnets?

[Wingeer]

Hello!

Homework Statement

This is a problem with magnetism and mechanical work.
Two magnets are facing each other with opposite poles, where the space between them is called x. The left magnet is beeing hold still, and the right magnet moved. The space between them increases from 2 to 7 cm. Estimate how much mechanical work this movement performs.

We do also have a table:

http://dump.no/files/b1c64a658d37/Table.jpg

Basically what's standing there is: "This table shows the relation between F and x"
Avstand=distance and kraft=force. (Norwegian)

Link to the picture if it doesn't show up in the thread:
http://dump.no/files/b1c64a658d37/Table.jpg

Homework Equations

$$W=Fs$$

$$F=\frac{k1}{x^{2}}$$ Where k=Boltzmann's constant

The Attempt at a Solution

My attempt on this problem implies integration, because the force is not constant. I integrated $$F=\frac{k1}{x^{2}}$$ and got $$-\frac{1}{{x_B }} + \frac{1}{{x_A }}$$, where $$x_B$$=2 and $$x_A$$=7. I then get $$-\frac{5}{{14}}$$. Am I supposed to multiply this with boltzmann's constant? And then put the result I found in the formula for work?


In advance, thanks for your help!

 

[rl.bhat]

It looks right. But convert of distance from cm to m. I don't think Boltzmann's constant appears in the magnetic force.