1. In Part 1, did the force of friction on the shoe depend on the weight of the shoe? If the two are related, why are they? What is the slope of the line on the graph of force of friction vs. weight, and what does that number represent? Explain using your data.
Answer
The equation for the force due to friction is F=uN=umg
from this equation we can see that u is the coefficient of friction and N is the normal force
The normal force is the weight of the object so N=mg
We can see the relationship from this equation
The more the force the more the friction since the force is higher the downward force is more thus the object .So the friction on the shoe does depend on the weight.
On our graph with force of friction vs weight the slope is basically the value on the y divided by the x axis values
Which in this case is the force of friction divided by the weight
From our values if we divide the force of friction by the weight we get the coefficient of friction
So the slope of the graph represents the coefficient of friction.