# Work-Energy: Determining x- and y-components of wind force

**1. The problem statement, all variables and given/known data**

**2. Relevant equations**

Constant acceleration equations: Δx = v,xi *t + 0.5*(a,x)*t^2

Δy = v,yi *t + 0.5*(a,y)*t^2

K = 0.5*m*v^2

U = mgh

W,nonconservative forces = ∫ ∑ F dx

Conservation of Energy: K1 + U1 = K2 + U2

∑F = ma

**3. The attempt at a solution** (Note that in my notation, I denoted a subscript with a comma preceding it)

F,w = wind force

F,wx and F,wy are constant

∑F,x = -F,wx = m*a,x

∑F,x = -F,wx – mg = m*a,y

Δx = v,xi *t + 0.5*(a,x)*t^2 –> x,f = d1*cos(θ)

v,xi = v,a *cos(θ,1) = 27.8 m/s = 83.6*v,xi

Solve for a,x –> a,x = -0.199 m/s^2

-F,wx = m*a,x (Solve for F,wx)

Δy = v,yi *t + 0.5*(a,y)*t^2 (Solve for y,f)

Now I am stuck! Any help would be greatly appreciated…thank you in advance! 🙂

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