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TheSnacks
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Homework Statement
Figure 7-30 shows an overhead view of three horizontal forces acting on a cargo canister that was initially stationary but that now moves across a frictionless floor. The force magnitudes are F1 = 2.70 N, F2 = 5.31 N, and F3 = 9.69 N, and the indicated angles are θ2 = 50.8° and θ3 = 39.6°. What is the net work done on the canister by the three forces during the first 6.80 m of displacement?
Homework Equations
I didn't really use equations other than things that are obvious.
W = Fd
The Attempt at a Solution
I found the x components of F2 and F3 and got 3.35608 and 7.46627 respectively. Since they are opposite of each other, I found the difference which was 4.11019.
Then, since it seems as though F1 and the difference of F2 and F3 forms a 90 degree angle, I used Pythagorean theorem to find the overall force. That came out to be 4.91769.
I plugged it into W=Fd and got 33.4403.
I'm not sure where I went wrong. Any help would be appreciated.