Question

examine the free body diagram shown above. what is the net force on the object depicted in this diagram? 400 n in the positive y - direction 770 n in the negative x - direction 70 n in the positive x - direction 230 n in the positive x - direction

Explanation:

Step1: Calculate net force in y - direction

Forces in y - direction: \(F_{y1}=200N\) (up, positive) and \(F_{y2} = 200N\) (down, negative). Net force \(F_y=F_{y1}-F_{y2}=200 - 200=0N\)

Step2: Calculate net force in x - direction

Forces in x - direction: \(F_{x1}=140N\) (right, positive), \(F_{x2}=80N\) (right, positive) and \(F_{x3}=150N\) (left, negative). Net force \(F_x=(140 + 80)-150=70N\) (positive x - direction)

Answer:

70 N in the positive x - direction (the third option)