I've noticed an amazing phenomenon while playing around with magnets, pulling them apart requires tremendous force(like with neodymium magnets). However, slidning them apart requires a lesser(greatly) amount of force. Why is that?
If I pull the magnets a part($+F_y$) the attraction force is quite high. While sliding them apart($\pm F_x$) it's less, only at the edge I'd feel a significant force but still less than the direct pull.
Also, when a magnet is attracted to a large ferromagnetic surface(like a fridge, or a iron table), I can virtually move the magnet around easily anywhere around the ferromagnet, the only force here is the frictional force due to the attraction:
This is making me think that it's easier to move a magnetic field, around another magnetic field. Imagine a path made of a magnetic field I can bring another magnetic field(assuming it's attracted to the object creating the path) and I can move it around, the only force of opposition is friction possibly. Like the magnet on the iron table, the ferromagnet creates it's own magnetic field to attract the magnet(two $B$ fields added up) and I can slide the magnet easily around.
Or, make a large electromagnet and bring a smaller magnet and we can slide it on the surface of the electromagnet easily, what explains this? The magnetic energy in the field?