Question

Two forces of magnitude A and $\frac{A}{2}$ act perpendicular to each other. The magnitude of the resultant force is equal to:

• A. $\frac{A}{2}$
• B. $\frac{\sqrt{5A}}{{2}}$
• C. $\frac{3A}{2}$
• D. $\frac{5A}{2}$

Answer 1

Answer: (B)

$\frac{\sqrt{5A}}{{2}}$

Answer 2

The correct option is (B): $\frac{\sqrt{5A}}{{2}}$
Anet = $\sqrt{A^2+\frac{A^2}{4}}$
Anet = $\frac{\sqrt{4A^2+A^2}}{{4}}$
Anet = $\frac{\sqrt{5A^2}}{{4}}$