Question

two forces f1 and f2 are acting at right angles to each other. then their are resusltant is

Answer 1

Resultant = √A^2 + B^2

When the angle between two forces is 90° then resultant is the sum of the squares of both the forces and under root of it.

Answer 2

The resultant of two forces $F_{1}$ and $F_{2}$ acting at right angles to each other is $\sqrt{F_{1}^{2}+F_{2} ^{2} } }$

• Force is a vector quantity.
• Resultant of two vectors acting at an angle can be found by using parallelogram law of vectors.

                     $R = \sqrt{F_{1}^{2}+F_{2} ^{2} + 2F_{1}F_{2}cos\alpha } }$

• In the given problem, the forces are perpendicular to each other

                        $\alpha$ = 90

                      cos$\alpha$ = cos 90 = 0

• Therefore, the resultant of forces is

                      F = $\sqrt{F_{1}^{2}+F_{2} ^{2} } }$