Gce Model Questions Vol1 2018 Further Mathematics Question 30

Practice objective / multiple choice question 30 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 30 GCE_MODEL_QUESTIONS_VOL1 • 2018 • FURTHER_MATHEMATICS • objective

A block of mass \(5\text{ kg}\) starts from rest at the bottom of a rough inclined plane that makes an angle of \(30^{\circ}\) with the horizontal and has length \(10\text{ m}\). The coefficient of kinetic friction is \(\mu = 0.2\). A pulling force acting parallel to the plane varies with the distance \(x\) (in metres) from the bottom as \(F(x)=20+5x\) newtons. Using the work‑energy principle, calculate the speed of the block when it reaches the top of the incline. Give your answer to two decimal places.

Answer Options

A. 5.12 m\/s
Correct Answer B. 6.93 m/s
C. 7.30 m\/s
D. 8.45 m\/s
Correct Answer
B
Correct Option:
6.93 m/s

About This Question

This is Gce Model Questions Vol1 2018 Further Mathematics Question 30. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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