Representing Gravitational Fields (AQA A Level Physics)
Revision Note
Gravitational Field Lines
The direction of a gravitational field is represented by gravitational field lines
The gravitational field lines around a point mass are radially inwards
The gravitational field lines of a uniform field, where the field strength is the same at all points, is represented by equally spaced parallel lines
For example, the fields lines on the Earth’s surface
Gravitational field lines for a point mass and a uniform gravitational field
Radial fields are considered non-uniform fields
The gravitational field strength g is different depending on how far you are from the centre
Parallel field lines on the Earth’s surface are considered a uniform field
The gravitational field strength g is the same throughout
Point Mass Approximation
For a point outside a uniform sphere, the mass of the sphere may be considered to be a point mass at its centre
A uniform sphere is one where its mass is distributed evenly
The gravitational field lines around a uniform sphere are therefore identical to those around a point mass
An object can be regarded as point mass when:
A body covers a very large distance as compared to its size, so, to study its motion, its size or dimensions can be neglected
An example of this is field lines around planets
Gravitational field lines around a uniform sphere are identical to those on a point mass
Radial fields are considered non-uniform fields
So, the gravitational field strength g is different depending on how far an object is from the centre of mass of the sphere
Examiner Tips and Tricks
Always label the arrows on the field lines! Gravitational forces are attractive only. Remember:
For a radial field: it is towards the centre of the sphere or point charge
For a uniform field: towards the surface of the object e.g. Earth
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