Question

Two forces, $vec{F}_1$ and $vec{F}_2$, act at a point, as shown in the picture. (Figure 1) $vec{F}_1$ has a magnitude of 9.80 N and is directed at an angle of $alpha = 65.0^circ$ above the negative x-axis in the second quadrant. $vec{F}_2$ has a magnitude of 7.00 N and is directed at an angle of $eta = 52.6^circ$ below the negative x-axis in the third quadrant. What is the x-component $F_x$ of the resultant force? What is the y-component $F_y$ of the resultant force? What is the magnitude $F$ of the resultant force? What is the angle $gamma$ that the resultant force forms with the negative x-axis? In this problem, assume that positive angles are measured clockwise from the negative x-axis.

          Two forces, $vec{F}_1$ and $vec{F}_2$, act at a point, as shown in the picture. (Figure 1) $vec{F}_1$ has a magnitude of 9.80 N and is directed at an angle of $alpha = 65.0^circ$ above the negative x-axis in the second quadrant. $vec{F}_2$ has a magnitude of 7.00 N and is directed at an angle of $eta = 52.6^circ$ below the negative x-axis in the third quadrant.
What is the x-component $F_x$ of the resultant force?
What is the y-component $F_y$ of the resultant force?
What is the magnitude $F$ of the resultant force?
What is the angle $gamma$ that the resultant force forms with the negative x-axis? In this problem, assume that positive angles are measured clockwise from the negative x-axis.

Added by Vicente B.

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