WAEC Further Mathematics 2023 Objective — Question 22

Question 22 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

A particle of mass 40 kg is kept on a smooth plane inclined at an angle of 30 deg to the horizontal by a force up the plane. Find, correct to one decimal place, the magnitude of the normal reaction of the plane on the particle. [Take g=10 ms^-2].

A. 146.0 N
B. 200.6 N
C. 346.4 NCorrect
D. 400.3 N

Explanation

Normal reaction N = mg cos(theta) = 40(10)cos30 = 400 x 0.866 = 346.4N (see diagram).

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