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For small deformations, how does the size of the deformation relate to the applied force, according to Hooke's law?
AThe deformation is inversely proportional to the applied force
BThe deformation is proportional to the applied force
CThe deformation is proportional to the square of the applied force
DThe deformation does not depend on the applied force at all
Answer & Solution
Correct answer: B. The deformation is proportional to the applied force
1. The source names this proportionality Hooke's law.
2. For small deformations, Hooke's law is obeyed, meaning deformation size is proportional to applied force.
3. Doubling the applied force doubles the deformation, rather than halving it or quadrupling it.
4. Since the two quantities are linked by a constant of proportionality, the deformation cannot be independent of the force.
_Source: OpenStax College Physics (CC BY 4.0), Ch 5 "Further Applications of Newton's Laws: Friction, Drag, and Elasticity", section 5.3 Elasticity: Stress and Strain_
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