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Weight is equivalent to the force due to gravity. To determine weight, you must know both the mass of the object and the acceleration due to gravity in the place that the object resides.

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Weight = m * ag

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where:

  • m = the mass of the object
  • ag = the acceleration due to gravity (-9.8 m/s2 on Earth at sea level)

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If you know both the mass of the object and the mass and size of the planet the object is being weighed on, then you can calculate the force due to gravity (weight) as:

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Weight = G * mo * mp / r2

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where:

  • G is the gravitational constant of the universe (6.67 * 10-11 m3kg-1s-2)
  • mo is the mass of the object being weighed
  • mp is the mass of the planet
  • r is distance from the center of the planet to the center of the object
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Q: What must be known to determine the weight of an object?
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