Inclined Plane Problem with Kinetic Friction

[physicsmaster11232]

Homework Statement

A horse pulls a 300kg sled at constant speed over level snow by a rope that is 35 degrees above the horizontal. The coefficient of friction is 0.10. Find the force the horse exerts on the rope.

Relevant Equations

F = nukFn
f=ma
mgsin Ѳ= fx
mgcos Ѳ=fy

I tried to find the force of friction using the the coefficient of kinetic friction with the equation F=nukmgcos Ѳ. Then I made the force of friction equal to the force of pull. I don't know what I'm doing wrong as I'm getting the wrong answer. I have attached a picture of my work.

 

[haruspex]

Your diagram is wrong. (And your title.)

over level snow by a rope that is 35 degrees above the horizontal.

What is at 35 degrees?

 

[gneill]

The picture of your work is not oriented properly.

 

[neilparker62]

Both the title of your question and your diagram indicate you are using the physics applicable to an inclined plane. But the question states "A horse pulls a 300kg sled at constant speed over level snow"