IB Physics HL A 2 9 Hookes Law Restoring Force Questions

Practise IB Physics HL A.2.9 by applying Hooke’s law to spring extension, compression and maximum displacement.

Exam points

Determine the spring constant from a mass, extension and the restoring-force relationship.
Calculate the maximum elastic restoring force from F = kx, including an oscillation amplitude or maximum displacement.

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Study A.2.9—Hooke’s law restoring force conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 2]

An object attached to a spring oscillates with simple harmonic motion in a horizontal plane. The graph shows how the kinetic energy of the object varies with the displacement x.

Figure for Question IB Physics HL A 2 9 Hookes Law Restoring Force Questions question 1 — IB Physics HL

The mass of the object is 0.15 kg .

Calculate the maximum force exerted on the object by the spring.

ALTERNATIVE 1
$\begin{aligned} & a_{\max }=8.6^{2} \times 0.060 \text { OR }\left(\frac{2 \pi}{0.73}\right)^{2} \times 0.060<=4.44 \mathrm{~m} \mathrm{~s}^{-2}> & F_{\max }=0.15 \times 4.44=0.67<\mathrm{N} \gg \end{aligned}$

ALTERNATIVE 2
$\begin{aligned} & k=8.6^{2} \times 0.15 \text { OR }\left(\frac{2 \pi}{0.73}\right)^{2} \times 0.15<=11.1 \mathrm{~N} \mathrm{~m}^{-1}> & F_{\max }=11.1 \times 0.060=0.67<\mathrm{N}> & \end{aligned}$

MP1 find a or k MP2 F=m a / F=k x

Award [2] for BCA

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IB Physics HL A 2 9 Hookes Law Restoring Force Questions question 1