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PHYSICS CONNECTION

Sample stiffness and Young modulus describe different things

A wire’s force constant depends on its dimensions as well as its material. Young modulus separates the material behaviour from the sample’s length and cross-sectional area.

k = EA/L

Follow the reasoning

  1. Write Young modulus as stress divided by strain.
  2. Substitute stress = F/A and strain = x/L.
  3. Compare the resulting F/x with the force constant.
OFFICIAL OCR QUESTIONS

Try it in a past paper 1

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Specification outcomes (3)
  • 3.4.1(c) Define the force constant k of a spring or wire using F = kx.
  • 3.4.2(c) Define and use stress, strain and ultimate tensile strength.
  • 3.4.2(d)(i) Define Young modulus, E = stress / strain.
Official OCR AS specification ↗