Question

Two forces of 4N and 3N are acting perpendicular to each other on a body . What is the resultant force acting on the body?

Answer 1

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That's the answer!

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Answer 2

Answer: The resultant force acting on the body is 5N.

Explanation:

Resultant between two vectors can be calculated by,

• $Resultant = \sqrt{A^{2} +B^{2}+ 2.A.Bcos\alpha }$      where $\alpha$ is angle between two        vectors A and B.

• Here,$A = 4 , B= 3 ,\alpha = 90$   as forces are perpendicular to each other.

• $Resultant = \sqrt{4^{2} +3^{2}+ 2.3.cos90 }$

                $= \sqrt{16+9+0}$                          (cos90 = 0)

              $=\sqrt{25}$

             $= 5$

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