physics question

Question

A force F₁  of magnitude 7.00 units acts at the origin in a direction 32.0° above the positive x-axis. A second force F₂ of magnitude 5.00 units acts at the origin in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F₁ + F₂.

magnitude = ?

direction=? ° counterclockwise from the +x axis

Answer 1

F1 = <7 cos(32) , 7sin(32)> = <5.936,3.709>

F2 = <0,5>

F1 + F2 = <5.936, 8.709> = 10.540 <0.563, 0.826>

mag = 10.540 units

angle theta = arctan(0.826/0.563) = 55.722 degrees above (CCW) the +x axis.