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Out Into Space

Graphs and diagrams of gravitational fields

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the areas under field– and force–distance graphs, finding force or field from a gradient, estimating an area under a curve, equipotential diagrams, and why potential stays below zero.

What you need to know

Answer each one before you reveal it.

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Key term

How is the gravitational force found from a graph of gravitational potential energy against distance?

Evaluation

How is field strength found from a graph of gravitational potential against distance?

Key term

Why must a change of potential be found as an area rather than by a single multiplication?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does the area under a graph of gravitational field strength against distance represent?

    Model answer

    It gives the change in gravitational potential between the two distances.

  2. 2

    What does the area under a graph of gravitational force against distance represent?

    Model answer

    It gives the change in gravitational potential energy between those two separations.

  3. 3

    How is the gravitational force found from a graph of gravitational potential energy against distance?

    Model answer

    The radial component of the force is the negative of the gradient of the tangent to the curve at that distance.

  4. 4

    How is field strength found from a graph of gravitational potential against distance?

    Model answer

    The radial component of the field strength is the negative of the gradient of the tangent to that curve.

  5. 5

    Describe the shape of a graph of gravitational field strength against distance from the centre of a planet, outside its surface.

    Model answer

    It falls as an inverse square from its surface value, dropping steeply at first and then approaching zero.

  6. 6

    Why must a change of potential be found as an area rather than by a single multiplication?

    Model answer

    The field strength varies over the interval, so the contributions of many narrow strips must be added instead of using one value throughout.

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