WAEC Further Mathematics 2025 Objective — Question 31

Question 31 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

Two forces F1 (8N, 060°) and F2 (8N, 330°) act on a particle. Calculate the magnitude of the force that will keep the particle in equilibrium.

• A. 6.00 N
• B. 7.07 N
• C. 10.00 N
• D. 11.31 NCorrect

Explanation

F1 and F2 act at 90° to each other (060° and 330°), so their resultant magnitude = √(8²+8²) = √128 ≈ 11.31N. The equilibrant has this same magnitude.

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