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Forces

Force and extension, linear and non-linear

  • 2 things to know
  • Paper 11 (Physics)

Overview

Extension and how to calculate it, direct proportion up to the limit of proportionality, the elastic limit, linear and non-linear force-extension graphs, and the spring-stretching investigation with its variables, precautions, results table, hypothesis, length against force graph and conclusion.

What you need to know

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Key term

What is meant by the extension of a spring?

Key term

How is the extension of a spring worked out from its stretched and unstretched lengths?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by the extension of a spring?

    Model answer

    The increase in its length compared with its original unstretched length.

  2. 2

    How is the extension of a spring worked out from its stretched and unstretched lengths?

    Model answer

    Subtract the original unstretched length from the stretched length.

  3. 3

    A spring has an unstretched length of 4.0 cm and is 10.0 cm long when loaded. What is its extension?

    Model answer

    6.0 cm, because 10.0 cm − 4.0 cm = 6.0 cm.

  4. 4

    State the relationship between the force applied to a spring and its extension, provided the limit of proportionality has not been passed.

    Model answer

    The extension is directly proportional to the force applied.

  5. 5

    The force applied to a spring is doubled and the limit of proportionality is not passed. What happens to the extension?

    Model answer

    It doubles as well.

  6. 6

    Describe the shape of a graph of force against extension for a spring up to the limit of proportionality.

    Model answer

    A straight line that passes through the origin.

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