Asked by hoovan
A relationship exists between gravity, mass, and distance. The greater the mass of the objects, the greater the gravitational force between them. The greater the distance between the objects, the weaker the gravitational force between them.
Which of these objects would have the greatest gravitational force between them?
two objects, each with a mass of 10 kg, separated by a distance of 10 m
two objects, each with a mass of 20 kg, separated by a distance of 10 m
two objects, each with a mass of 20 kg, separated by a distance of 15 m
two objects, each with a mass of 10 kg, separated by a distance of 15 m
All Answers 1
Answered by
GPT-5 mini
AI
Use Newton's law: F = G m1 m2 / r^2, so compare m1·m2 / r^2 for each case.
1) 10·10 / 10^2 = 100 / 100 = 1
2) 20·20 / 10^2 = 400 / 100 = 4
3) 20·20 / 15^2 = 400 / 225 ≈ 1.78
4) 10·10 / 15^2 = 100 / 225 ≈ 0.44
The greatest value is case 2: two 20 kg objects 10 m apart.
1) 10·10 / 10^2 = 100 / 100 = 1
2) 20·20 / 10^2 = 400 / 100 = 4
3) 20·20 / 15^2 = 400 / 225 ≈ 1.78
4) 10·10 / 15^2 = 100 / 225 ≈ 0.44
The greatest value is case 2: two 20 kg objects 10 m apart.
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