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  1. Glossary
  2. /Physics
  3. /Hooke's Law

What is Hooke's Law?

In short

Hooke's law says that the extension of a spring or a wire is proportional to the force stretching it, as long as the elastic limit is not passed: F=kxF = kxF=kx.

In simple words

The spring constant kkk is in N/m\text{N/m}N/m and tells you how stiff the spring is. The graph of force against extension is a straight line through the origin until the limit of proportionality. Beyond the elastic limit the spring does not return to its original length. Hooke's law for a spring is the same idea as the proportional region of a stress-strain curve.

Example

A spring with k=200 N/mk = 200\ \text{N/m}k=200 N/m is pulled by a force of 10 N10\ \text{N}10 N. Its extension is x=10 N200 N/m=0.050 mx = \dfrac{10\ \text{N}}{200\ \text{N/m}} = 0.050\ \text{m}x=200 N/m10 N​=0.050 m, or 5.0 cm5.0\ \text{cm}5.0 cm.

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Related terms

  • Stress and Strain
  • Archimedes' Principle

← All glossary terms

Learn it in

  1. Stress, Strain and Hooke's LawClass 11 to 12
  2. Shear Modulus, Bulk Modulus and Poisson's RatioClass 11 to 12
  3. Elastic Energy and ApplicationsClass 11 to 12
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Practise

  1. A lift and its passengers have a mass of 1000 kg…Hard
  2. A rock flows under a stress of about 2.2 × 10⁸ Pa, and its density is 2900 kg/m³…
Medium
  • A steel beam rests on supports 2.5 m apart…Medium
  • A crane lifts at most 8 tonnes (8000 kg)…Medium
  • All problems on this topic →

    Quick questions

    1. A copper wire and a steel wire of the same length carry the same load and stretch by the…Hard
    2. A wire of radius r breaks under a load F. What load breaks a wire of the same metal with…Medium
    3. A brass rod 0.80 m long, with a cross-section of 3.0 cm², is squeezed end to end in a…Medium

    More Physics terms

    1. Acceleration
    2. Acceleration Due to Gravity (g)
    3. Adiabatic Process
    4. Amplitude
    5. Angle of Incidence
    6. Angle of Reflection
    All Physics terms →

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