Does Magnetic Permeability Affect Magnet Lifting Power?

[SMD1990]

Does a material's magnetic permeability affect how much of said material a magnet can lift?

For example, say a magnet can lift 1 unit of weight of a material with a permeability of 2. If another material has a permeability of 4, could the same magnet instead lift 2 units of weight of this other material?

Or, does magnetic permeability only relate to the creation of electromagnets?

 

[Meir Achuz]

The force exerted by a magnet is proportional to (mu-1)/(mu+1) if mu is a constant
(independent of B).

 

[gsal]

I don't think that permeability is necessarily related to weight.

Having said that, it is true that of two materials of same density, a magnet would lift more weight of the one with higher permeability.

In other words, permeability is a measure of the friendliness of a material to magnetic lines...the ability to channel more and more magnetic lines through itself...and hence, the magnetic force between itself and a magnet would be proportional to the amount of linked magnetic lines.