# Resultant Force Formula

## Resultant Force Formula

Resultant Force Formula is defined as the total effective force acting on a body along a direction. Whether the object is at rest or moving at the same speed, the Resultant Force Formula must be zero. Here we see that all forces act in the same direction, so the Resultant Force Formula must be the same for all forces. When a force acts perpendicular to another force, the Resultant Force Formula can be determined using the Pythagorean theorem. For more information, check the Extramarks website.

### Resultant Force Formula

The resultant force is the total force acting on an object or objects along the direction of the object. If the object is stationary or moving at the same speed as the object, the resulting force will be zero. When two groups play tug-of-war, each group pulls the rope towards them and tries their best to win over the other group. What do you think will convince who? It’s a problem. To answer these questions, the viewer must find the net or Resultant Force Formula acting on the body. A Resultant Force Formula is a single force acting on an object that causes it to move. What is a resultant force? The total force acting on an object in all directions is called the “resultant force.” The Resultant Force Formula must also be zero when the object is at rest or moving at the same speed. All forces act in the same direction, so the Resultant Force Formula must be the same. The Pythagorean theorem can also calculate the Resultant Force Formula when one force acts perpendicular to another or when two forces act in opposite directions.

### Concept Of Resultant Force

“The difference in force on an object when a system of forces acts is called the resultant force.”

Forces applied to the same body part can be combined to achieve the same result. However, it is impossible to combine forces with different attack powers to have the same effect on the body. Systems of forces acting on rigid bodies are coupled by shifting the forces to the same point of action and calculating the associated torques. The resulting moment of force results from the addition of these forces and moments.

### The Formula For Resultant Force:

The resulting force formula is given by:

FR=F1+F2+F3

Where,

F1, F2, F3 are the forces acting on the body in the same direction. If F2 is perpendicular to F1, the resulting force expression is given by

FR = √(F21+F22)

Note that this is not just the sum of the force magnitudes. But the sum of forces taken as a vector is much more appropriate. This must be taken into account when summing, since vectors have both magnitude and direction.

So according to the above formula, if there is no force on the object, the resulting force will also be zero. On the other hand, if an object is subject to only one force, the Resultant Force Formula is equal to that force. So instead of computing the usual sum, we need to compute the vector sum of the forces. Extramarks is considered the best website for preparing the concepts of resultant force and their formulas. Students can visit the Extramarks website and learn the formulas.

### Solved Examples

Solved example

Q.1: Suppose three forces of 50N, 60N and 20N act simultaneously on an object. The direction of 20N is opposite the other two directions. Determine the resultant force. Resolution:

As stated in the issue:

F1=50N,

F2=60N

F3 = -20N

Force F3 is negative because it opposes the other two forces.

The resulting force can be calculated using the given formula.

FR=F1+F2+F3

France = 50 + 60 – 20

FR=90N

The resulting force is, therefore 90 N.

Example-2: Forces of 4 N and 9 N acting perpendicular to the body. Then determine the resulting force.

Resolution:

As stated in the issue:

F1=4N

F2 = 9N

Because these two are vertically oriented. The Resultant Force Formula is calculated as

= (√97)

= 9.84N

The resulting force is, therefore 9.84 N.