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Out Into Space

Gravitational force and the radial field

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

Overview

Recall questions on F = −GMm/r² and its minus sign, the gravitational constant G, the inverse square law, treating planets as point masses, satellite and sphere force calculations, doubling separation, why everyday attraction is unnoticeable, Newton's third law pairs, radial field lines, a larger planet's surface force, and gravity against the strong nuclear force.

What you need to know

Answer each one before you reveal it.

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Key term

What equation gives the gravitational force between two point masses?

Key term

Why does the radial component of the gravitational force carry a minus sign?

Key term

State the value and unit of the universal gravitational constant.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What equation gives the gravitational force between two point masses?

    Model answer

    The radial component of the force is F = −GMm/r², where r is the separation of their centres.

  2. 2

    Why does the radial component of the gravitational force carry a minus sign?

    Model answer

    The force is attractive, so it acts in the opposite direction to increasing r.

  3. 3

    State the value and unit of the universal gravitational constant.

    Model answer

    G is 6.67 × 10⁻¹¹ N m² kg⁻².

  4. 4

    What does it mean to call gravitation an inverse square law?

    Model answer

    The magnitude of the force falls in proportion to 1/r², so tripling the separation reduces the force to a ninth.

  5. 5

    How is a spherical planet treated when the force on an object outside it is calculated?

    Model answer

    Its whole mass is modelled as a point mass concentrated at its centre.

  6. 6

    A 1500 kg satellite orbits 4.2 × 10⁷ m from the centre of an Earth of mass 5.97 × 10²⁴ kg. What gravitational force acts on it?

    Model answer

    F = GMm/r² = 6.67 × 10⁻¹¹ × 5.97 × 10²⁴ × 1500 / (4.2 × 10⁷)² = 3.4 × 10² N.

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The two charges .
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There are 2π rad in a full circle.
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