Two forces of same magnitude 'F' are at right angles to each other. Wh

1.	Two forces of same magnitude 'F' are at right angles to each other. What is the magnitude of the total force acting on the object?
Answer» ANSWER: $\sqrt{2}$ F Explanation: Heya friend , Here we go : For FINDING the resultant FORCE, we can use the formula - $F_{resultant}$ = $\sqrt{F_{1}^{2} + F_{2}^{2} + 2F_{1} F_{2} cos\alpha }$ (for simplicity, I have taken $\alpha$ ) where, $\alpha$ is the ANGLE between the 2 FORCES. and, $F_{1} = F_{2} = F$ and $\alpha$ = 90° So, $F_{resultant} = \sqrt{F^{2} + F^{2} + 2FFcos90}$ and, cos 90° = 0 Hence, $F_{resultant} =\sqrt{2F^{2} }$ = $\sqrt{2}$ F Thanks ! @Manav