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Forces and Matter

Work done in stretching a spring

  • 3 things to know
  • Paper 6

Overview

Energy transferred = 0.5 × spring constant × extension² with calculations, the elastic potential store, investigating spring extension, spring constant and work done from a graph, and results tables, scales, lines of best fit, anomalies, hypotheses and safety.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation for the energy transferred in stretching a spring within its linear region.

Numbers

Calculate the energy transferred in stretching a spring of spring constant 200 N/m by 0.10 m.

Numbers

Calculate the energy transferred in stretching a spring of spring constant 40 N/m by 0.50 m.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation for the energy transferred in stretching a spring within its linear region.

    Model answer

    Energy transferred = 0.5 × spring constant × extension².

  2. 2

    Calculate the energy transferred in stretching a spring of spring constant 200 N/m by 0.10 m.

    Model answer

    Energy = 0.5 × 200 × 0.10² = 1.0 J.

  3. 3

    Calculate the energy transferred in stretching a spring of spring constant 40 N/m by 0.50 m.

    Model answer

    Energy = 0.5 × 40 × 0.50² = 5.0 J.

  4. 4

    Calculate the energy transferred in stretching a spring of spring constant 300 N/m by 0.020 m.

    Model answer

    Energy = 0.5 × 300 × 0.020² = 0.060 J.

  5. 5

    State the effect on the energy stored in a spring of doubling its extension within the linear region.

    Model answer

    The energy stored becomes four times as large.

  6. 6

    Name the energy store that is filled when work is done stretching a spring.

    Model answer

    The elastic potential energy store of the spring.

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