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Formula of Resultant Force
If one force is acting perpendicular to another, the resultant force is determined by using the Pythagorean theorem. The Resultant force formula is given by,

                            FR = F1 + F2 + F3

Where

F1, F2, F3 are the three forces acting in the same direction on an object.

Solved Example of Resultant Force
Example 1

Determine the FR when three forces such as 80 N, 100 N, and 30 N are acting on an object simultaneously and 30 N force is opposite to the other two forces.

Solution:

Given:

F1 = 80 N

F2 = 100 N

F3 = -30 N

F3 is a negative value because it is acting opposite to the other two force

The formula for resultant force is

FR = F1+F2+F3

FR = 80 + 100 – 30

FR = 150 N