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Gravitational Fields

Newton's law of universal gravitation

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on the law in words and as an equation, what r measures for two spheres, why the force is always attractive, and how it changes with mass and separation.

What you need to know

Answer each one before you reveal it.

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Numbers

What is Newton's law of universal gravitation, what does r measure for two spheres, and why is the force always attractive?

Numbers

What provides the centripetal force on a satellite, and how does the gravitational force between two masses change if one mass and the separation are both doubled, or if the separation is tripled?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is Newton's law of universal gravitation stated in words?

    Model answer

    The attractive force between two point masses is proportional to the product of their masses and inversely proportional to the square of the distance between them.

  2. 2

    State Newton's law of universal gravitation as an equation:

    Model answer

    F = Gm₁m₂/r², where r is the separation of the two point masses.

  3. 3

    In the equation for universal gravitation, what exactly does r measure for two spherical bodies?

    Model answer

    It is the distance between their centres, not the gap between their surfaces.

  4. 4

    Why is the gravitational force between two bodies always attractive?

    Model answer

    There is only one kind of mass and mass is always positive, so the force can never be repulsive.

  5. 5

    An apple falls towards the Earth. How does the force the apple exerts on the Earth compare with the force the Earth exerts on the apple?

    Model answer

    The two forces are equal in magnitude and opposite in direction, as required by Newton's third law; the Earth's acceleration is negligible because its mass is so much greater.

  6. 6

    The separation between two masses is tripled. By what factor does the gravitational force change?

    Model answer

    The force falls to one ninth of its original value.

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