Question

If two forces of equal magnitudes act simultaneously on a body in the east and the north directions then

• A. The body will displace in the north direction
• B. The body will displace in the east direction
• C. The body will displace in the north-east direction
• D. The body will remain at the rest.

Answer 1

The correct option is C The body will displace in the north-east direction

Let the force acting on the body in North and East direction be $\overrightarrow{F_1}$ and $\overrightarrow{F_2}$

$\therefore$ Resultant force on the body $\overrightarrow{F_R}=\overrightarrow{F_1}+\overrightarrow{F_2}$ (In North-East direction)

$\therefore$ The resultant acceleration of the body is in north-east direction. Hence it gets displaced in north-east direction.