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

Apply Hooke’s law for elastic restoring force, FH = −kx, with sign and extension defined consistently.
Calculate force, extension or spring constant and interpret restoring direction from complete mark-scheme evidence.

[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