Q. If two forces of $5\ N$ each are acting along $X$ and $Y$ axes, then the magnitude and direction of resultant is
A) $5\sqrt{2},\ \pi/3$
B) $5\sqrt{2},\ \pi/4$
C) $- 5\sqrt{2},\ \pi/3$
D) $- 5\sqrt{2},\ \pi/4$
Explanation
(b) $\left| \overrightarrow{F} \right| = \sqrt{5^{2} + 5^{2}} = 5\sqrt{2}\ N$
And $\tan\theta = \frac{5}{5} = 1$
$\Rightarrow \theta = \pi/4$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.