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WAEC Further Mathematics 2013 Question 28

Question 28

Statics

A particle is acted upon by two forces 6N and 3N inclined at an angle of 120° to each other. Find the magnitude of the resultant force.

  1. A.18√3 N
  2. B.27N
  3. C.24N
  4. D.3√3 N
Show the answer and explanation

Answer: D (3√3 N)

Explanation

R² = 6² + 3² + 2(6)(3) cos 120° = 45 − 18 = 27, so R = 3√3 N.