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.

 

[thomate1]

Hello! It seems like you are on the right track with your solution. However, there are a few things to consider before multiplying your result with Boltzmann's constant and plugging it into the formula for work.

Firstly, the formula F=\frac{k1}{x^{2}} that you have used is for the force between two point magnetic dipoles. It may not be applicable in this scenario where the magnets have a finite size and are not point dipoles. Additionally, the force between the two magnets may not be constant as the distance between them changes, so your integration may not be accurate.

Secondly, the table provided shows the relation between force and distance for different magnet strengths (kraft). You will need to know the specific strength of the magnets in order to determine the appropriate force to use in your calculation.

Overall, it is important to carefully consider the assumptions and limitations of the equations and data provided before attempting to solve the problem. It may also be helpful to consult with your instructor or a peer to ensure that your approach and solution are correct. Good luck!