Neco 2024 Further Mathematics Question 19

Practice objective / multiple choice question 19 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 19 NECO • 2024 • FURTHER_MATHEMATICS • objective

A 5 kg block rests on a plane inclined at \(30^{\circ}\) to the horizontal. The coefficient of kinetic friction between the block and the plane is \(\mu_{k}=0.20\). The block is attached by a light inextensible string over a frictionless pulley to a 3 kg hanging mass. Determine (i) the magnitude of the acceleration of the system and (ii) the tension in the string. State the direction of motion of each mass.

Answer Options

A. a = 0.30 m\/s^2 (block up the incline, hanging mass down); T ≈ 25.0 N
B. a = 0.45 m\/s^2 (block down the incline, hanging mass up); T ≈ 28.1 N
C. a = 0.60 m\/s^2 (block down the incline, hanging mass up); T ≈ 31.5 N
Correct Answer D. a = 0.45 m/s^2 (block up the incline, hanging mass down); T ≈ 28.1 N
Correct Answer
D
Correct Option:
a = 0.45 m/s^2 (block up the incline, hanging mass down); T ≈ 28.1 N

About This Question

This is Neco 2024 Further Mathematics Question 19. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Hard .

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