13.1 Gravitational Fields

Definition: Gravitational Field

  • Force per unit mass

Gravitational Field as a Field of Force

  • A Gravitational Field is an example of a Field of Force.
  • It is a region of space where a mass experiences a force.

Representing Gravitational Fields

Gravitational Field Lines

  • A gravitational field can be represented by using Gravitational Field Lines.
  • A Gravitational Field Line is an arrow showing the direction of gravitational force acting on a test mass.

Strength of a Gravitational Field

  • The strength of a magnetic field is represented by the density of gravitational field lines (number of field lines per unit area).
  • The closer the field lines, the higher the density and the stronger the field.

Relative strength comparison
Relative strength comparison

Types of Gravitational Fields

Radial Field

  • Field lines point towards the centre of a point mass or uniform sphere.

Gravitational field around the Earth
Gravitational field around the Earth

Spacing of Field Lines

As the distance from the centre of the point mass increases, the separation of the field lines increases, and line density decreases, indicating that the strength of the gravitational field decreases.

Uniform Field

  • Field lines are parallel to each other and equally spaced

Gravitational field near the Earth's surface
Gravitational field near the Earth's surface

Spacing of Field Lines

Since separation of field lines is constant, the gravitational field strength remains constant.


Next Note: 13.2 Gravitational Force between Point Masses