Question

Forces $F_{1}$ and $F_{2}$ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be

• A. $F_{1} + F_{2}$
• B. $F_{1} - F_{2}$
• C. $\sqrt{F_{1}^{2} + F_{2}^{2}}$
• D. $F_{1}^{2} + F_{2}^{2}$

Answer 1

Answer: (C)

$\sqrt{F_{1}^{2} + F_{2}^{2}}$

Answer 2

$F = \sqrt{F_{1}^{2} + F_{2}^{2} + 2F_{1}F_{2}\cos 90{^\circ}} = \sqrt{F_{1}^{2} + F_{2}^{2}}$