Question

Two equal forces $\overrightarrow{F}$ each act at right angles to each other.The third force which can neutralize their effect is:

• A. $\sqrt{2}F$, in the same plane of the two forces
• B. $\sqrt{2}F$, in the different plane of the two forces.
• C. $2F$, in the same plane of the two forces
• D. $2F$, in the different plane of the two forces.

Answer 1

Answer: (A)

$\sqrt{2}F$, in the same plane of the two forces

If the third force is the resultant , it can neutralize the effect of two forces.

The magnitude of the resultant $|\overrightarrow{R}|=\sqrt{F^2+F^2}=\sqrt{2}F$

As two forces are right angles to each other so the resultant must be in same plane of the two forces.