Neco 2022 Further Mathematics Question 50

Practice objective / multiple choice question 50 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 50 NECO • 2022 • FURTHER_MATHEMATICS • objective

Two masses are connected by a light inextensible string over a smooth frictionless pulley. Mass \(m_{1}=3\ \text{kg}\) hangs vertically, while mass \(m_{2}=5\ \text{kg}\) rests on a horizontal table with coefficient of kinetic friction \(\mu_{k}=0.2\). The system is released from rest. (i) Find the acceleration of the system and the tension in the string. (ii) Determine the speed of the masses after the hanging mass has descended \(2\ \text{m}\).

Answer Options

A. Acceleration \\(1.5 \\text{m s}^{-2}\\); tension \\(18.0 \\text{N}\\); speed after 2 m descent \\(\\sqrt{6.125} \\text{m s}^{-1}\\approx2.47 \\text{m s}^{-1}\\)
B. Acceleration \\(2.0 \\text{m s}^{-2}\\); tension \\(20.0 \\text{N}\\); speed after 2 m descent \\(\\sqrt{8} \\text{m s}^{-1}\\approx2.83 \\text{m s}^{-1}\\)
Correct Answer C. Acceleration \(2.45\ \text{m s}^{-2}\); tension \(22.05\ \text{N}\); speed after 2 m descent \(\sqrt{9.8}\ \text{m s}^{-1}\approx3.13\ \text{m s}^{-1}\)
D. Acceleration \\(3.0 \\text{m s}^{-2}\\); tension \\(24.0 \\text{N}\\); speed after 2 m descent \\(\\sqrt{12} \\text{m s}^{-1}\\approx3.46 \\text{m s}^{-1}\\)
Correct Answer
C
Correct Option:
Acceleration \(2.45\ \text{m s}^{-2}\); tension \(22.05\ \text{N}\); speed after 2 m descent \(\sqrt{9.8}\ \text{m s}^{-1}\approx3.13\ \text{m s}^{-1}\)

About This Question

This is Neco 2022 Further Mathematics Question 50. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Hard .

View More Neco 2022 Further Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support