If the distance between two objects is increased to four times the original distance, how will that increase change the force of attraction between the objects?

Question

Aditya Barron

Mathematics

30 October, 11:29

If the distance between two objects is increased to four times the original distance, how will that increase change the force of attraction between the objects?

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Answers (1)

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Ismael · Answer 1

The formula for gravitational force F is equal to the gravitational constant multiplied by the respective masses of both objects, all over the square of the distance between the two. In mathematical form:

Let:

G = gravitational constant

M = mass of one object

m = mass of the other object

d = distance between the two objects

F = gravitational force

F = (G * M * m) / d^2

As seen in the formula, the gravitational force or force of attraction is inversely proportional to the square of the distance. If we were to increase the distance by 4 times as much, this would reduce the force of attraction by 16 times.