Suppose, we leave two magnets in space close to each other with no other force acting on them apart from the attractive force between them. One is stronger than the other but, they have the same mass. Would they meet at the middle or closer to the stronger?
It’s important to clarify that although both magnets have the same mass we have to assume that a percentage of the material of the weaker one is not magnetizable, otherwise we could assume that the stronger magnet would induce a field in the weaker one making the strength of both fields similar.
Best Answer
If you consider the two magnets together as a system, there is no external force acting on it. Since there is no external force acting on it, the centre of mass of the system remains unchanged. As a result, no matter how the magnets move, they will do so in such a fashion as to keep the centre of mass constant. From this, it should be easy to see that the two magnets will meet at their centre of mass. If the magnets have the same mass, they will meet at the middle If one of the magnets is much more massive than the other, the centre of mass will be shifted towards that magnet, and so they will meet closer to the "heavier" magnet.
Note: This is independent of the strength of the magnets.