An object has 3 forces applied to it. What is the Net force on the object?

Question

3 forces applied to the object:

100N at an angle of 0 degrees

150N at an angle of 180 degrees

100N at an angle of 90 degrees

 

What is the Net force on the object (magnitude and direction)?

graphically and/or algebraically 

Answer 1

F_x = (100 - 150) N = -50 N

F_y = 100 N

 

F = √(F_x² + F_y²) = √[(-50)² + 100²] N ≅ 111.8 N 

 

θ = arctan(F_y/F_x) = arctan(100/-50) ≅ 116.6° counterclockwise from the positive x-axis