Two forces having magnitudes A and A/2 are perpendicular to each other. The magnitude of their resultant is:
Options

Question

Two forces having magnitudes A and A/2 are perpendicular to each other. The magnitude of their resultant is:

G1 Physics · Accepted Answer

The two forces are perpendicular. Therefore the resultant magnitude is R = √[A² + (A/2)²] = √[A² + A²/4] = A√(5/4) = (√5/2)A Hence option D follows.