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WAEC Further Mathematics 2006 Question 39

Question 39

Statics

Two forces, each of magnitude 16 N, are inclined to each other at an angle of 60°. Calculate the magnitude of their resultant.

  1. A.16
  2. B.16√3
  3. C.18
  4. D.18√3
Show the answer and explanation

Answer: B (16√3)

Explanation

R² = 16² + 16² + 2(16)(16)cos 60° = 256 + 256 + 256 = 768, so R = √768 = 16√3 N.