Hi! I'm having issues with this practice problem. Any advice on what I'm doing wrong would help!!!
A 2.5 kg particle is projected with an initial speed of 3.3m/s along a surface for which the coefficient of friction is 0.7. Find the distance it travels given that the particle moves up a 26 degree incline.
The Attempt at a Solution
-24.5Nsin26=-10.74 N = mgx
-24.5Ncos26=-22.02N = mgy
Fn= 22.02 N
Ff = Fnμ
Ff = 22.02N*0.7
Here I assumed KEf was 0 because the final velocity is 0, and I assumed PEi was 0 because the inital height is 0.
The forces applied that aren't in equilibrium are mgx, and Ff.
So instead of having 2 unknown variables, I made h equal to...
So.. I inserted that in the previous equation:
Factored out d...
And this answer is incorrect. I am unsure where I went wrong... Any thoughts? Thank you!!!
For an image of what my free body diagram looks like, I posted it below!!
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