Force A = 100 N to the right. So,the correct option is C.
Since the object is not accelerating, the net force acting on it must be zero. This means that the sum of all the forces acting on the object must be zero.
From the image, we can see that there are three forces acting on the object:
Force A, which is 25 N to the right
Force B, which is 75 N to the left
Force C, which is 50 N to the left
To find the net force, we simply add up the forces:
Net force = Force A + Force B + Force C
= 25 N - 75 N - 50 N
= -100 N
Since the net force is negative, it means that the object is accelerating to the left. However, we are told that the object is not accelerating, so this means that there must be another force acting on the object that we are not accounting for.
This fourth force must be equal in magnitude to the net force, but opposite in direction. This means that the fourth force must be 100 N to the right.
Therefore, the value of force A must be 100 N.
Force A = 100 N to the right