Two forces having magnitude A and A/2 are perpendicular to each other. The magnitude of their resultant is:

Engineering

Physics

Summation of Vectors

Question

$\frac{\sqrt{5} A}{4}$

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

$\frac{5 A}{2}$

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

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Net force $F = \sqrt{A^{2} + {(\frac{A}{2})}^{2}} = \sqrt{A^{2} + \frac{A^{2}}{4}} = A \sqrt{1 + \frac{1}{4}} = \frac{\sqrt{5}}{2} A$