Gce Model Questions Vol1 2023 Further Mathematics Question 35

Practice objective / multiple choice question 35 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 35 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

A block of mass \(5\ \text{kg}\) rests at the bottom of a rough inclined plane that makes an angle of \(30^{\circ}\) with the horizontal. The coefficient of kinetic friction between the block and the plane is \(0.2\). A constant horizontal force of \(40\ \text{N}\) pulls the block up the plane. The length of the incline is \(10\ \text{m}\). Assuming the block starts from rest, determine the speed of the block when it reaches the top of the incline. Give your answer in exact surd form and to two decimal places.

Answer Options

A. Exact: \sqrt{\dfrac{302\sqrt{3}-450}{5}} \;\text{m\/s}; Approx.: 2.80 \;\text{m\/s}
Correct Answer B. Exact: \sqrt{\dfrac{302\sqrt{3}-490}{5}} \;\text{m/s}; Approx.: 2.57 \;\text{m/s}
C. Exact: \sqrt{\dfrac{250\sqrt{3}-400}{5}} \;\text{m\/s}; Approx.: 2.10 \;\text{m\/s}
D. Exact: \sqrt{\dfrac{302\sqrt{3}+490}{5}} \;\text{m\/s}; Approx.: 5.12 \;\text{m\/s}
Correct Answer
B
Correct Option:
Exact: \sqrt{\dfrac{302\sqrt{3}-490}{5}} \;\text{m/s}; Approx.: 2.57 \;\text{m/s}

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 35. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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