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Point Mass Approximation (CIE A Level Physics)

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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 Planet

Point mass sphere field lines, downloadable AS & A Level Physics revision notes

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 you are from the centre of mass of the sphere

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Leander

Author: Leander

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.