Neco 2017 Further Mathematics Question 47

Practice objective / multiple choice question 47 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 47 NECO • 2017 • FURTHER_MATHEMATICS • objective

A block of mass 8 kg rests on a rough inclined plane that makes an angle of 30\(^\circ\) with the horizontal. The coefficients of static and kinetic friction are 0.20 and 0.15 respectively. A horizontal force \(P\) is applied to the block (direction parallel to the horizontal) to push it up the plane. (i) Determine the minimum magnitude of \(P\) required to start moving the block up the plane. (ii) If the same force \(P\) is then maintained and the block moves 5 m along the plane, find its speed at the end, assuming it started from rest. Take \(g=9.8\ \text{m s}^{-2}\) and neglect air resistance.

Answer Options

A. P_{min}=73.2\\text{ N},\\ v=2.30\\text{ m s}^{-1}
B. P_{min}=68.9\\text{ N},\\ v=3.10\\text{ m s}^{-1}
Correct Answer C. P_{min}=68.9\text{ N},\ v=2.53\text{ m s}^{-1}
D. P_{min}=65.0\\text{ N},\\ v=2.80\\text{ m s}^{-1}
Correct Answer
C
Correct Option:
P_{min}=68.9\text{ N},\ v=2.53\text{ m s}^{-1}

About This Question

This is Neco 2017 Further Mathematics Question 47. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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