Physics 9702 · AS & A Level · Stress and strain

Stress and strain — practice question

A wire is made from a $3.0\,\text{m}$ section of metal X connected to a $1.0\,\text{m}$ section of metal Y, and its cross-sectional area is constant throughout. When a load is suspended from the wire, metal X increases in length by $1.5\,\text{mm}$ and metal Y increases in length by $1.0\,\text{mm}$. Next, the same load is suspended from a second wire with the same cross-sectional area, but this one contains $1.0\,\text{m}$ of metal X and $3.0\,\text{m}$ of metal Y. What is the overall extension of this second wire?

  • A$2.5\,\text{mm}$
  • B$3.5\,\text{mm}$
  • C$4.8\,\text{mm}$
  • D$5.0\,\text{mm}$

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