Finding F1

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

There are two forces on the 2.80 kg box in the overhead view of the figure but only one is shown. For F1 = 10.9 N, a = 10.2 m/s2, and θ = 34.9°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)

I’m not sure if this link will work, but here’s the picture:

2. Relevant equations


3. The attempt at a solution

Ok so I’ve been stuck on this one for a while. I started out finding the sum of the forces:
∑F=(2.8kg)(10.2m/s2)=28.56 N

Then I tried solving for F2:

Then I found the x and y components of the acceleration:

Could you multiply ax and ay by the mass and get the F1x and F1y?
I’m so confused, could someone please help guide me through this problem?

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