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Materials

Elastic potential energy, stress and strain

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on stress and strain with their formulae, units and calculations, elastic potential energy from force and extension or force constant, ultimate tensile strength, the elastic limit and the limit of proportionality.

What you need to know

Answer each one before you reveal it.

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Key term

Why does strain have no units, and what are ultimate tensile strength and the Young modulus?

Key term

What is the SI unit of stress?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define stress.

    Model answer

    Stress is the force applied per unit cross-sectional area

  2. 2

    State the formula for stress and identify each term.

    Model answer

    σ = F/A, where σ is stress, F is force, and A is cross-sectional area

  3. 3

    Calculate the stress when force = 625 N, cross-sectional area = 0.000956 m².

    Model answer

    Stress = 625 ÷ 0.000956 = 654000 Pa.

  4. 4

    State the formula for elastic potential energy stored in a spring obeying Hooke's law in terms of force constant and extension.

    Model answer

    E = ½kx², where E is elastic potential energy, k is the force constant, and x is extension

  5. 5

    Calculate the elastic potential energy when force = 63 N, extension = 0.39 m.

    Model answer

    Elastic potential energy = 0.5 × 63 × 0.39 = 12.3 J.

  6. 6

    Calculate the elastic potential energy when force constant = 320 N/m, extension = 0.44 m.

    Model answer

    Elastic potential energy = 0.5 × 320 × 0.44 × 0.44 = 31 J.

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