Gravitational Field Strength

Key points

  • Gravity operates via gravitational fields.
    • Every object with mass has its own gravitational field.
  • The gravitational field strength at a certain point is the gravitational force per unit mass experienced by a point mass at that certain point.
  • Gravitational field strength is equivalent to acceleration due to gravity.

Gravitational Field Strength is defined as the gravitational force per unit mass experienced by a point mass at a certain point. 

  • Every object with mass creates a gravitational field by bending space-time to carry out the attractive force of gravity.
  • Gravitational Field Strength is a vector quantity whose direction is given by the direction of the force that a point mass would experience at that certain point.
    • Direction in the example is toward the center of the earth, as its mass would attract a point mass within its gravitational field 
    • It is not uniform – it gets weaker as the distance increases.
      • Distance between the red lines increases.
    • Gravitational field strength is radial around a single point or spherical mass, like the Earth.

Formula Booklet

The formula booklet equation for the gravitational field strength is based on its definition.

  • The gravitational force per unit mass leads to the fraction F/m.
  • Substituting the equation for the force of gravity and cancelling leads to the second equation.
    • Only the mass of one object is needed – the one that is creating the observed force.

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