Is the equilibrant force that will keep the Two forces are acting on an object as shown below.
object in equilibrium

The equilibrant force that will keep the object in equilibrium is;

A. 10 N to the left

Explanation:

The forces acting on the object are;

A 20 Newton force acting to pull the object horizontally to the left

A 30 Newton force acting to pull the object horizontally to the right

For equilibrium, we have;

The sum of forces acting on the object, ∑F = 0

Let '' represent the equilibrant force, with a convention of right = positive, we have;

At equilibrium, ∑F = 30 N - 20 N + = 0

∴ 30 N - 20 N + = 0

10 N = -

∴ = -10 N

With the convention that a force acting to the right = Positive, we have the equilibrant force, = -10 N which is negative, is acting towards the left;

∴  The equilibrant force that will keep the object in equilibrium, = 10 N acting to the left.