The magnitude of the resultant of two forces is 2F. If the magnitude of each force is F. Than the angle between these forces is:
Correct answer: A. 0°
- A. 0°
- B. 90°
- C. 120°
- D. 180°
Explanation
Both vectors have the same magnitude, F, and the resultant is F+F = 2F. If two vectors have the same direction, then the resultant vector is the algebraic sum of the two vectors, as in this case. The vectors must therefore also have the same direction, making the angle between them 0°. The resultant is at it's greatest value when the angle between the vectors is 0°. Options B and C are incorrect, as in these cases their resultant would be a value less than 2F. Option D is incorrect as vectors are in opposite directions when angle between them is 180° so the resultant is the algebraic difference between the two, F-F = 0.
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About Addition of Vectors
Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.
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