Solved Examples on Resultant Force

Example 1: When three forces, such as 50 N, 90 N, and 40 N, are operating on an object at the same time and the 40 N force is opposite the other two forces, what is the F_R?

Solution:

Given,

• F₁ = 50 N
• F₂ = 90 N
• F₃ = -40 N

We know that the resultant force formula is,

F_R = F₁ + F₂ + F₃

F_R = 50 + 90 – 40

F_R = 100 N

Now the, resultant force acting on the object is, 100 N

Example 2: If perpendicular forces of 7 N and 13 N act on an item. Then calculate the force as a result.

Solution:

Given,

• F₁ = 7 N
• F₂ = 13 N

We know that resultant force formula between perpendicular forces is,

F_R = √(F₁² + F₂²)

F_R = √(7² +13²)

F_R = √218

F_R = 14.76 N

Example 3: If the resultant force F_R acting on an object is 95 N and the force acting on the object are 100 N, 30 N, 20 N and x N, then find the value of 

Solution:

Given,

• F_R = 95 N
• F₁ = 100 N
• F₂ = 30 N
• F₃ = 20 N
• F₄ = x N

We know that the resultant formula is,

F_R = F₁ + F₂ + F₃ + F₄

95 = 100 + 30 + 20 + x

x = (F₄) = -55 N

The force applied on the object is -55 N here, the – sign signifies that this force is opposite in direction to all opposite force.

Resultant Force is the total force acting on the body. It is defined as the sum of all forces acting on a body and it is the vector sum of all the forces acting on a body. The resultant force is measured in Newton which is the SI unit of force. If the resultant force acting on a body is zero then either it is in uniform motion or it is at rest.

The resultant force acting on an object can be visualized by the example, suppose a box is resting on a table and the force of 10 N is applied to it in the North direction and a force of 8 N is applied to it in the south direction then the resultant force acting on the body is in 2 N (10 N – 8 N). 

In this article, we will learn about, force, the resultant force, and the resultant force formula, its example, and others in detail. Now before learning about the resultant let’s learn about What is Force?