Gce Model Questions Vol1 2018 Further Mathematics Question 7

Practice objective / multiple choice question 7 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 7 GCE_MODEL_QUESTIONS_VOL1 • 2018 • FURTHER_MATHEMATICS • objective

A block of mass \(1\ \text{kg}\) is attached to a spring of unknown constant \(k\) on a horizontal frictionless surface. It is pulled \(0.20\ \text{m}\) from its equilibrium position and released from rest. After \(0.50\ \text{s}\) the block is \(0.054\ \text{m}\) to the right of equilibrium and its speed is \(0.50\ \text{m s}^{-1}\). Determine the spring constant \(k\) (in \(\text{N m}^{-1}\)) and the maximum distance the block reaches from equilibrium.

Answer Options

A. k=6.72\ \text{N m}^{-1},\ \text{maximum distance}=0.25\ \text{m}
Correct Answer B. k=6.72\ \text{N m}^{-1},\ \text{maximum distance}=0.20\ \text{m}
C. k=7.30\ \text{N m}^{-1},\ \text{maximum distance}=0.22\ \text{m}
D. k=5.60\ \text{N m}^{-1},\ \text{maximum distance}=0.18\ \text{m}
Correct Answer
B
Correct Option:
k=6.72\ \text{N m}^{-1},\ \text{maximum distance}=0.20\ \text{m}

About This Question

This is Gce Model Questions Vol1 2018 Further Mathematics Question 7. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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