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Out Into Space

Gravitational field strength

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

Overview

Recall questions on the defining equation and unit, inverse-square variation around a planet, adding fields from two bodies and where they cancel, apparent weightlessness in orbit, and field-line spacing.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Evaluation

What is the field strength at a distance r from a point mass M?

Numbers

Calculate the gravitational field strength at the surface of an Earth of mass 5.97 × 10²⁴ kg and radius 6.37 × 10⁶ m.

Evaluation

What is the field strength 6.37 × 10⁶ m above the surface of the Earth?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define gravitational field strength.

    Model answer

    It is the gravitational force per unit mass acting on a small test mass placed at that point.

  2. 2

    State the defining equation and unit of gravitational field strength.

    Model answer

    It is g = F/m, measured in N kg⁻¹.

  3. 3

    What is the field strength at a distance r from a point mass M?

    Model answer

    The radial component is g = −GM/r².

  4. 4

    Is gravitational field strength a scalar or a vector, and in which direction does it act?

    Model answer

    It is a vector, directed towards the mass producing the field.

  5. 5

    Calculate the gravitational field strength at the surface of an Earth of mass 5.97 × 10²⁴ kg and radius 6.37 × 10⁶ m.

    Model answer

    g = GM/r² = 3.98 × 10¹⁴ / 4.06 × 10¹³ = 9.81 N kg⁻¹.

  6. 6

    What is the field strength 6.37 × 10⁶ m above the surface of the Earth?

    Model answer

    The distance from the centre has doubled, so the field strength is a quarter of 9.81, that is 2.45 N kg⁻¹.

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