Program that simulates magnets and how they interact

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    Magnets Program
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s09
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Hi guys. I got a unique (non-homework) assignment. I'm trying to model the manner in which magnets interact with each other and the forces that they exert on each other when near one another. I would LOVE to do this in an application without investing the time and effort into a full-blown model. Is there such application?

Ideally, it's open-source, but a commercial app will do just fine.
 
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Just noticed that this should be better moved to the computing section. Could someone please move it there?