Question

Resultant of two equal vectors acting at right angle to each other is 14.14 unit. The magnitude of each force is

• A. 5 unit
• B. 10 unit
• C. 20 unit
• D. 30 unit

Answer 1

Answer: (B)

10 unit

Answer 2

Let $F_1 = F_2 = x$ Here, resultant, R = 14.14 unit and $\theta$ = 90$^\circ$ $R^2 = F^2 + F^2 = 2F^2$ i.e. R =$\sqrt{2x^2}$ i.e. 14.14 = $\sqrt{2x^2}$ or $x = \frac{14.14}{\sqrt{2}} = \frac{14.14}{1.414}$ = 10 unit since $F_1 = F_2 =$ 10 unit.