Two forces, F? 1 and F? 2, act at a point, as shown in the picture. (Figure 1) F? 1 has a magnitude of 9.20 N and is directed at an angle of ? = 65.0 ? above the negative xaxis in the second quadrant. F? 2 has a magnitudeof 5.80 N and is directed at an angle of ? = 53.9 ? below the negative x axis in the third quadrant. A.What is the x component Fx of the resultant force?Express your answer in newtons. B. What is the y component Fy of the resultant force?Express your answer in newtons. C. What is the magnitude F of the resultant force?Express your answer in newtons. D. What is the angle ? 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. Express your answer in degrees.

Explanation:

Net Force

When a set of forces is applied to an object, the net force is the vector sum of all the individual forces:

We have two forces described in the question: F1 has a magnitude of 9.2 N and is directed at . The angle is positive since it's measured above the negative x-axis and clockwise, exactly as the problem requires the reference to be taken. F1 is expressed in vector form as:

F2 has a magnitude of 5.8 N and is directed at . Expressing F2 in vector form:

A. Let's compute the net or resultant force:

The x-component of the resultant force is

B. The y-component of the resultant force is

C. The magnitude of the resultant force is

D. The angle of the resultant force is computed by

Since the x-component of the resultant force is negative and the y-component is positive, the angle lies in the second quadrant and is positive according to the required positive reference