Question

Resultant of two equal forces is 1.414newton.if they are perpendicular to each other than what will the magnitude

Answer 1

LET the two equal forces be F N each

acting at right angle

We know resultant of two forces is given by

$\sqrt{F^{2}+ F^{2} + 2F^{2}cos90} \\ \\ = \sqrt{2F^{2}+ 0 } = F\sqrt{2} \\ \\ AsF\sqrt{2} = 1.414 \\ \\ F = \frac{1.414}{\sqrt{2}}\\ \\ so F = 1 N$ [/tex]