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2 June, 17:21

The gravitational force F exerted by the earth on an object having a mass of 100 kg is given by the equation

F =

4,000,000

d2

where d is the distance (in km) of the object from the center of the earth, and the force F is measured in newtons (N). For what distances will the gravitational force exerted by the earth on this object be between 0.0004 N and 0.01 N?

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Answers (1)
  1. 2 June, 17:25
    0
    F = 4,000,000 / d²

    For F = 0.0004 N,

    d = √ (4000000 / 0.0004)

    d = 100,000 km

    For F = 0.01 N,

    d = √ (4000000 / 0.01)

    d = 20,000 km

    The distance must be between 20,000 km and 100,000 km
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