The magnitude of the resultant of two forces is F. The magnitude of each force id F. The angle between the forces must be:
Correct answer: C. 120°
- A. 20°
- B. 60°
- C. 120°
- D. 45°
Explanation
If we know the magnitude of two forces and the angle between them, we can find the magnitude of the resultant force by applying the following formula:R=√A2+B2+2ABcosθ Given that the two forces are of equal magnitude =F and the resultant of these forces =F F=√F2+F2+2F2cosθF2=2F2(1+cosθ)cosθ=−1/2θ=120∘Final answer:120∘
This question appeared on the ETEA MDCAT 2006 paper, which you can sit online with every answer explained.
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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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