Question

Is the equilibrant force that will keep the

Answer 1

Answer:

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

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

∴ 30 N - 20 N + $F_E$ = 0

10 N = -$F_E$

∴ $F_E$ = -10 N

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

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