Does size or mass of a shoe affect its coefficient of friction?

[sbayla31]

Homework Statement

For a shoe, does its size or mass affect its coefficient of friction? Explain their effects.

Homework Equations

F_f=muF_n

The Attempt at a Solution

I'm thinking the mass does (because you need the mass to find the normal force) and the size doesn't because it isn't involved in the calculation... but doesn't the mass increase when the size of the shoe increases?

 

[fss]

I think you are misinterpreting the question a bit. Why would the mass or size of an object affect its coefficient of friction? All else equal, does a 1-kilogram block of steel have a different coefficient of friction than a 1-gram block of steel?