Question 45: Motion in 2D & Vectors

Question

Two forces having magnitude $$A$$ and $$\frac{A}{2}$$ are perpendicular to each other. The magnitude of their resultant is:

Accepted Answer

The resultant of two perpendicular vectors is given by the Pythagorean theorem.
If we have two vectors of magnitudes $A$ and $\frac{A}{2}$, the resultant $R$ is:
$R = \sqrt{A^{2} + \left(\frac{A}{2}\right)^{2}} = \sqrt{A^{2} + \frac{A^{2}}{4}} = \sqrt{\frac{5A^{2}}{4}} = \frac{\sqrt{5} A}{2}$.

Answer

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

Answer

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

Answer

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

Answer

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

Motion in 2D & Vectors

Two forces having magnitude $A and \frac{A}{2}$ are perpendicular to each other. The magnitude of their resultant is:

Choose the correct answer: