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WAEC Further Mathematics 2008 Question 26

Question 26

Vectors

Two forces F1 = (10N, 020°) and F2 = (7N, 200°) act on a particle. Find the resultant force.

  1. A.(3N, 020°)
  2. B.(3N, 200°)
  3. C.(17N, 020°)
  4. D.(17N, 200°)
Show the answer and explanation

Answer: A ((3N, 020°))

Explanation

020° and 200° differ by 180°, so the forces act in opposite directions. The resultant is 10 − 7 = 3N in the direction of the larger force, 020°.