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Electrostatic and Gravitational Fields of Force

Gravitational potential and potential energy

  • 3 things to know
  • A2 Unit 4 Section A

Overview

Recall questions on Gravitational potential and potential energy.

What you need to know

Answer each one before you reveal it.

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Key term

Give the equation for the gravitational potential due to a point mass and define every symbol.

Key term

State the unit of gravitational potential.

Key term

Is gravitational potential a scalar or a vector?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the gravitational potential at a point.

    Model answer

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

  2. 2

    Give the equation for the gravitational potential due to a point mass and define every symbol.

    Model answer

    V_g = −GM/r, where V_g is the potential in J kg⁻¹, G the gravitational constant, M the mass in kilograms and r the distance from its centre in metres.

  3. 3

    State the unit of gravitational potential.

    Model answer

    The joule per kilogram, J kg⁻¹.

  4. 4

    Is gravitational potential a scalar or a vector?

    Model answer

    A scalar, so potentials from several masses are added as ordinary numbers.

  5. 5

    Give the equation for the gravitational potential energy of two point masses.

    Model answer

    PE = −GM₁M₂/r, where M₁ and M₂ are the two masses in kilograms and r their separation in metres.

  6. 6

    Give the equation for the change in gravitational potential energy of a mass moved in a field.

    Model answer

    The change is mΔV_g, where m is the mass moved in kilograms and ΔV_g the change in gravitational potential in J kg⁻¹.

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