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Gravitational Fields

Gravitational potential and potential energy

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on the definition of gravitational potential, why it is always negative, its value at infinity, equipotential surfaces, and the energy needed to escape.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What is the equation for gravitational potential in a radial field, is it a scalar or a vector, and what is its value at infinity?

Numbers

How is gravitational field strength related to gravitational potential, and what angle do equipotential surfaces make with field lines?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by the gravitational potential at a point?

    Model answer

    It is the work done per unit mass in bringing a small test mass from infinity to that point.

  2. 2

    State the equation for gravitational potential in a radial field and give its unit:

    Model answer

    V_grav = −Gm/r, measured in J kg⁻¹.

  3. 3

    Why is gravitational potential always negative?

    Model answer

    Potential is defined as zero at infinity and the field is attractive, so work is done by the field as a mass moves inwards, leaving the potential below zero.

  4. 4

    Is gravitational potential a scalar or a vector quantity?

    Model answer

    It is a scalar, so potentials from several masses are combined by simple addition.

  5. 5

    What is the value of gravitational potential at an infinite distance from a mass?

    Model answer

    It is zero, which is the reference point from which all other potentials are measured.

  6. 6

    How is gravitational field strength related to gravitational potential?

    Model answer

    Field strength is the negative of the potential gradient, g = −ΔV/Δr.

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