Neco 2018 Further Mathematics Question 44

Practice objective / multiple choice question 44 from the 2018 Neco Further Mathematics examination.

Neco 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 44 NECO • 2018 • FURTHER_MATHEMATICS • objective

A block of mass \(8\,\text{kg}\) rests on a horizontal rough surface. The coefficients of static and kinetic friction are \(\mu_{s}=0.5\) and \(\mu_{k}=0.3\) respectively. A horizontal force \(F\) is applied.\n\n(i) Determine the smallest magnitude of \(F\) (in newtons) that will start the block moving.\n\n(ii) After the block has moved \(5\,\text{m}\) under this constant force, the applied force is reduced to \(10\,\text{N}\) and kept constant until the block comes to rest. Find the total distance travelled from the start until the block stops.

Answer Options

A. F_{min}=35\,N, \; \text{total distance}=9.5\,m
B. F_{min}=39.2\,N, \; \text{total distance}=10\,m
C. F_{min}=45\,N, \; \text{total distance}=12\,m
Correct Answer D. F_{min}=40\,N, \; \text{total distance}=11.09\,m
Correct Answer
D
Correct Option:
F_{min}=40\,N, \; \text{total distance}=11.09\,m

About This Question

This is Neco 2018 Further Mathematics Question 44. It is one of the objective questions from the 2018 Neco Further Mathematics examination.

Difficulty level: Hard .

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