Neco 2017 Further Mathematics Question 48

Practice objective / multiple choice question 48 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 48 NECO • 2017 • FURTHER_MATHEMATICS • objective

A particle of mass 0.5 kg is attached to a light inextensible string of length 1.2 m and whirled in a vertical circle. At the top of the circle the tension in the string is 2 N. (i) Determine the speed of the particle at the bottom of the circle. (ii) Assuming the same speed at the top, find the minimum length of the string required for the particle to complete the circle without the string going slack. Take \(g=9.8\ \text{m s}^{-2}\).

Answer Options

A. v_{bottom}=7.0\\text{ m s}^{-1},\\ L_{min}=1.40\\text{ m}
B. v_{bottom}=7.5\\text{ m s}^{-1},\\ L_{min}=1.55\\text{ m}
Correct Answer C. v_{bottom}=8.0\text{ m s}^{-1},\ L_{min}=1.69\text{ m}
D. v_{bottom}=8.5\\text{ m s}^{-1},\\ L_{min}=1.80\\text{ m}
Correct Answer
C
Correct Option:
v_{bottom}=8.0\text{ m s}^{-1},\ L_{min}=1.69\text{ m}

About This Question

This is Neco 2017 Further Mathematics Question 48. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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