Question

Find by means of vector diagram,the resultant of two forces of 7N and 3N acting at right angle to one another

Answer 1

The resultant of two forces of 7N and 3N acting at a right angle to one another is √58 N.

Explanation:

Let the magnitude of the force of 7N be denoted as “F₁” on the x-axis and the magnitude of the force of 3N be denoted as “F₂” on the y-axis.

We are given that the two forces make an angle of 90° to one another as shown in the figure attached below.

Also, in the figure, we can see that the resultant force is denoted as “F”.

Now,  

The magnitude of the resultant force can be calculated by using the Pythagoras theorem,  

 

∴ F = √[F₁² + F₂²]

⇒ F = √[7² + 3²]

⇒ F = √[49 + 9]

⇒ F = √[58] N