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?

Question

Physics

Doofus

8 February, 08:05

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?

+2

Answers (1)

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Gardner · Answer 1

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