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

AI Thread Summary
The discussion centers on calculating the mechanical work done when separating two opposite pole magnets, with one magnet held still while the other is moved from 2 cm to 7 cm. The relevant force equation is F = k1/x², where k is a constant, and the work done is calculated using W = Fs. Integration is necessary due to the non-constant nature of the force, leading to the expression -1/x_B + 1/x_A. There is a suggestion to convert distances from centimeters to meters, and clarification that Boltzmann's constant is not applicable in this context. The final solution requires multiplying the integrated result by the appropriate constant for work calculation.
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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!
 
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It looks right. But convert of distance from cm to m. I don't think Boltzmann's constant appears in the magnetic force.
 
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