Question

Two equal forces, the magnitude of each of them is 6 N. , the magnitude of

their resultant is 6 N. , then the angle between them equals

Answer 1

The angle between both forces is equal to 120°.

Explanation:

Net Force

The net force between two or more forces is determined by adding their vector representation.

We have two forces of 6 N each but applied to an object at different angles. The resulting force should be of magnitude 6 N, as required by the question.

Please refer to the image where both forces F are applied at an angle θ with respect to the vertical. For the total force to have a magnitude of F, the vertical component of one of them must be F/2 as shown in the diagram.

The angle formed by this configuration must comply with the trigonometric ratios in the rectangle triangle.

`\displaystyle \cos\theta=(F/2)/(F)=(1)/(2)`

The angle is θ = 60° which makes the angle between both forces be equal to 120°.