Forces and Hills: Calculating Force of 1967 Corvette on a 17.5° incline

[moondawg]

Homework Statement

Certain streets in San Francisco mane an angle of 17.5 degrees with the horizontal. What force is required to keep a loaded 1967 Corvette of mass 1390kg from rolling down such a street?

Homework Equations

fcosx
fsinx

The Attempt at a Solution

I drew my free body diagran and then broke it into components, Fx and Fy. I got the force to be 4096.2N. I feel like I am missing a step. Can someone please check my work!

 

[Dale]

That seems right to me.

 

[cjl]

I get 4.1 kN as well. Looks like you did the problem correctly.