Question

What force will counterbalance two forces 4.0 N and 5.0 N acting perpendicular to each other?​

Answer 1

The force that will balance the two forces is 6.4 N

Data obtained from the question

• Force 1 (F₁) = 4 N

• Force 2 (F₂) = 5 N

• Resultant force (F)

The resultant force, F can be obtained as follow:

F = √(F₁² + F₂²)

F = √(4² + 5²)

F = √(16 + 25)

F = √41

F = 6.4 N

Thus, the force that will balance the two forces is 6.4 N

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Answer 2

The force that will counterbalance two forces 4.0 N and 5.0 N acting perpendicular to each other is a force of 6.4 N acting in an opposite direction to the resultant of the two forces.

Equilibrant of forces

• The equilibrant of two or more forces is that single force which will have the same effect as the resultant of two or more forces but which is acting in a direction opposite to that of the resultant force.

The Resultant of the two forces 4.0 N and %.0 N acting perpendicular to each other is calculated using the formula:

R² = A² + B²

where A and B are the two forces acting perpendicular to each other.

R² = 4² + 5²

R² = 41

R = 6.4 N

Therefore, the force that will counterbalance two forces 4.0 N and 5.0 N acting perpendicular to each other is a force of 6.4 N acting in an opposite direction to the resultant of the two forces.

Learn more about resultant and equilibrant forces at: https://brainly.com/question/8045102