What Is the Coefficient of Kinetic Friction for a Snow Shovel on a Sidewalk?

[homevolend]

Homework Statement

A boy pushes a light snow shovel at a uniform velo across a sidewalk. If the handle of the shovel is inclined at 55deg to a horizontal and he pushes along the handle with a force of 100N.
What is the coefficient of kinetic friction.

Homework Equations

Ff=?
Ff=Facos(-)

Fk=(micro)KFn

The Attempt at a Solution

I first found the force of friction which is Ff=100cos55
Ff= 57N


So now that I have 55N for Ff I did Fnet found.
Fnet= Fa-Ff
Fnet=43N

Fk=Fn

so Fk=43

So use this formula of

Fk=(micro)kFn

43=(micro)k43

43/43=1

But I know the kinetic friction is not 1 so how do I find the answer?

 

[Andrew Mason]

Homework Statement

A boy pushes a light snow shovel at a uniform velo across a sidewalk. If the handle of the shovel is inclined at 55deg to a horizontal and he pushes along the handle with a force of 100N.
What is the coefficient of kinetic friction.

Assume that the only downward force is the force supplied by the boy.

What are the horizontal and vertical forces? Does the shovel accelerate? So what do these vertical and horizontal forces sum to?

Write out the equations for these forces and solve.

AM