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WAEC Further Mathematics 2025 Question 34

Question 34

Statics

A body initially at rest is acted upon by forces F1 = (6N, 030°), F2 = (8N, 180°) and F3 = (10N, 090°). Find, correct to one decimal place, the magnitude of the resultant force.

  1. A.15.2 N
  2. B.13.8 N
  3. C.13.3 N
  4. D.12.5 N
Show the answer and explanation

Answer: C (13.3 N)

Explanation

East components: 6 sin 30° + 10 = 13; north components: 6 cos 30° − 8 = −2.80. Resultant = √(13² + 2.80²) = √176.9 ≈ 13.3 N.