Question Detail
Question
Two forces each of 10 N act on a body, one towards the north and the other towards the east. The magnitude and the direction of the resultant force are
Correct Answer
Option D is the correct answer.
Detailed Explanation
The two forces are perpendicular (north and east). The magnitude of the resultant is √(10² + 10²) = √200 = 10√2 N. The direction is given by tanθ = (north component)/(east component) = 10/10 = 1, so θ = 45° north of east, which is 45°E.
Hint
For perpendicular vectors, resultant magnitude = √(F₁² + F₂²), direction from tanθ = F_y/F_x.