Final answer:
The magnitude of the resultant force when two perpendicular forces of 3 N and 4 N act along different axes is found using the Pythagorean theorem, resulting in a magnitude of 5 N.
Step-by-step explanation:
The question involves finding the magnitude of a resultant force at a point where two forces are acting along different lines. When two forces are acting along the lines x=0 and y=0 respectively, if these forces are perpendicular to each other (as implied by the axes), their resultant can be found using the Pythagorean theorem. This is often the case in problems that involve vector addition.
For example, if the two forces (F1 and F2) have magnitudes of 3 N and 4 N and are perpendicular to each other, then the resultant force (FR) can be calculated as:
FR = √(F1² + F2²), which simplifies to
FR = √(3² + 4²) = √(9 + 16) = √25 = 5 N. Therefore, the resultant force has a magnitude of 5 N.