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Could someone credible please check my work on this one?

## Homework Statement

This problem is "pulling a sled up a slope"

All relevant data is in the picture. I wanted to find F

_{P}(The force one has to pull to start the sled moving up with slope).

mass = 26.0kg

μ

_{s}= 0.096

slope of hill = 12 degrees

F

_{P}= 23 degrees (from horizontal)

I did all my work in the rotated reference frame where the x direction is in line with the slope of the hill.

## Homework Equations

I fully believe I got the right answer which is why I want this to be double and triple checked to make sure I really do understand everything here. I have my midterm on Friday so now is the time to learn!

## The Attempt at a Solution

The solution I got was F

_{P}= 76.9N

Thank you so much in advance! <3‿<3