Neco 2018 Further Mathematics Question 40
Practice objective / multiple choice question 40 from the 2018 Neco Further Mathematics examination.
A car of mass \(1500\ \text{kg}\) negotiates a horizontal circular curve of radius \(80\ \text{m}\) that is banked at an angle of \(15^{\circ}\) to the horizontal. The coefficient of static friction between the tyres and the road is \(\mu\).\n(i) Derive expressions for the minimum speed \(v_{\min}\) and the maximum speed \(v_{\max}\) at which the car can safely travel around the curve without slipping, in terms of \(\mu\).\n(ii) If the car travels at \(20\ \text{m/s}\), find the smallest value of \(\mu\) that will allow this speed.
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About This Question
This is Neco 2018 Further Mathematics Question 40. It is one of the objective questions from the 2018 Neco Further Mathematics examination.
Difficulty level: Hard .
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