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My question concerns magnetic acceleration due to repulsion. My sketch below shows two Neodymium magnets that I am working with, Magnet A and Magnet B. Thir orientation is fixed so that they cannot twist, and they are confined to travel only in the direction of the arrows. My questions are:

  1. If Magnet A is at rest and Magnet B is moved towards it from left to right in the direction of the arrow, how could I determine how fast Magnet A would accelerate away from B?

  2. I suspect that the speed at which Magnet B is traveling would affect the acceleration of Magnet A. So, would it be possible to determine how this speed would influence the acceleration of Magnet A

If it is not possible to provide answers in this forum, I would be very grateful if someone could provide information (books, videos etc) on where I could get help.

Thanks very much.

enter image description here

user136789
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  • The magnetic fields of finite-sized magnets are complicated close to the magnets. I recommend thinking about two point magnetic dipoles, which have relatively simple fields and simple forces. This simplification should still capture what would happen in the finite case. – Ghoster Mar 22 '24 at 17:37
  • I would recommend starting a search with Wikipedia. Their page on Force between magnets should have everything. If not, please edit the question to capture what you think is missing from that page to solve your particular problem. – Cort Ammon Mar 22 '24 at 17:38
  • (For future reference, I found that link by taking your question title, adding "wikipedia" to it, and thus googling for "Magnetic Acceleration due to Repulsion wikipedia".) – Cort Ammon Mar 22 '24 at 17:41
  • I suspect that the speed at which Magnet B is traveling would affect the acceleration of Magnet A. Why? I think the magnets would have to be moving at a significant fraction of the speed of light for this to be significant. – Ghoster Mar 22 '24 at 17:43

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