The resultant of a 6N force and an 8N force acting at right angles to each other is of the magnitude:
Correct answer: C. 10N
- A. 14 N
- B. 2N
- C. 10N
- D. 48 N
Explanation
When two forces are acting at right angles to each other, the resultant can be calculated by using the Pythagorean Theorem.One of the forces represents the base (B) of a right-angled triangle, and the other force represents the perpendicular (P). The result of the forces is the hypotenuse (H).Acc to Pythagoras' theroem, H2= P2+ B2H2= 6X6 + 8X8H2= 36+64H2=100Taking sq root, H=10N which is the resultant.
This question appeared on the ETEA MDCAT 2006 paper, which you can sit online with every answer explained.
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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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