the free body diagram below represents the forces acting on an object. in which direction must this object…

the free body diagram below represents the forces acting on an object. in which direction must this object be accelerating? 30 n 11 n 16 n 25 n 10 n 12 n southwest southeast northwest northeast

the free body diagram below represents the forces acting on an object. in which direction must this object be accelerating? 30 n 11 n 16 n 25 n 10 n 12 n southwest southeast northwest northeast

Answer

Answer:

D. Northeast

Explanation:

Step1: Calculate net - force in x - direction

Net force in x - direction $F_x=25-(11 + 16)=25 - 27=- 2$ N (negative means left - ward).

Step2: Calculate net - force in y - direction

Net force in y - direction $F_y=30-(10 + 12)=30 - 22 = 8$ N (positive means upward).

Step3: Determine the direction

The net force has a component to the left in the x - direction and upward in the y - direction. So, the resultant force (and thus the acceleration direction according to Newton's second law $F = ma$) is in the northeast direction.