Asked by hoovan

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. With m1 = m2 = m this becomes F ∝ m^2 / r^2.

Compute the relative values:
- 10 kg, 10 m: 100 / 100 = 1
- 20 kg, 10 m: 400 / 100 = 4
- 20 kg, 15 m: 400 / 225 ≈ 1.78
- 10 kg, 15 m: 100 / 225 ≈ 0.44

The greatest force is for the two 20 kg objects separated by 10 m (second option).