Two forces of 5.0 N each are acting on a point mass. If the angle between the forces is 60°, then the net force acting on the point mass has magnitude close to :
8.6 N
4.3 N
5.0 N
6.7 N
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC NDA-1 – 2023
$|R| = \sqrt{25 + 25 + 2 \cdot 25 \cdot (1/2)} = \sqrt{50 + 25} = \sqrt{75}$.
$\sqrt{75} = \sqrt{25 \cdot 3} = 5\sqrt{3}$.
Using the approximation $\sqrt{3} \approx 1.732$, $|R| \approx 5 \times 1.732 = 8.66$.
The closest value among the options is 8.6 N.