Moderate

Which of the following pair of forces can produce a resultant of 8N?

Correct answer: C. 3N & 6N

  • A. 2N & 5N
  • B. 20N & 2N
  • C. 3N & 6N
  • D. 4N & 1N

Explanation

The resultant of two vectors with magnitudes 3 N and 6 N can range from |6 N - 3 N| = 3 N to 6 N + 3 N = 9 N, so 8 N is possible. For 2 N and 5 N the maximum is 7 N, while the other pairs also cannot produce 8 N. The likely distractor is 2 N and 5 N, obtained by overlooking the maximum-resultant limit.

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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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