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

LEt's first find all the forces in the x-axis (independently)

F1x = 7cos32 =~ 5.9 units

F2x = 0

Now let's see y-axis;

F1y = 7sin32 =~ 3.7 units

F2y = 5 units

F1 + F2 = 5.9(X) + 8.7(Y)

|F1 + F2|² = 5.9² + 8.7²

Magnitude =~ 0.5 units

Tan(a) vector with the horizontal ==> tan -1 (8.7/5.9) = Angle with the horizontal (direction) ~ 55.8 from the horizontal