Neco 2022 Further Mathematics Question 49

Practice objective / multiple choice question 49 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 49 NECO • 2022 • FURTHER_MATHEMATICS • objective

A uniform solid cylinder of mass \(4\ \text{kg}\) and radius \(0.20\ \text{m}\) rolls without slipping down a smooth incline that makes an angle of \(30^{\circ}\) with the horizontal and is \(5\ \text{m}\) long. At the bottom it encounters a horizontal rough surface with coefficient of kinetic friction \(\mu_{k}=0.15\). (i) Determine the speed of the cylinder at the bottom of the incline. (ii) Assuming the cylinder continues to move on the rough surface until it stops, find the distance it travels on that surface.

Answer Options

A. Speed \(\approx5.72\ \text{m s}^{-1}\); distance on rough surface \(\approx14.0\ \text{m}\)
B. Speed \(\approx5.20\ \text{m s}^{-1}\); distance on rough surface \(\approx14.3\ \text{m}\)
Correct Answer C. Speed \(\approx5.72\ \text{m s}^{-1}\); distance on rough surface \(\approx16.7\ \text{m}\)
D. Speed \(\approx6.10\ \text{m s}^{-1}\); distance on rough surface \(\approx18.5\ \text{m}\)
Correct Answer
C
Correct Option:
Speed \(\approx5.72\ \text{m s}^{-1}\); distance on rough surface \(\approx16.7\ \text{m}\)

About This Question

This is Neco 2022 Further Mathematics Question 49. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Hard .

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