How much does the gravitational force between two objects change if the distance between the objects was to double?

A. Force decreases by a factor of 4

B. Force decreases by a factor of 2

C. Force increases by a factor of 4

D. Force increases by a factor of 2

Question

Physics

Magdalena Mathis

13 July, 20:14

How much does the gravitational force between two objects change if the distance between the objects was to double?

A. Force decreases by a factor of 4

B. Force decreases by a factor of 2

C. Force increases by a factor of 4

D. Force increases by a factor of 2

+4

Answers (1)

Know the Answer?

Cecelia Santana · Answer 1

A. Force decreases by a factor of 4

Explanation:

Gravitational force between two objects is:

F = Gm₁m₂ / r²

If r is doubled:

Gm₁m₂ / (2r) ²

Gm₁m₂ / (4r²)

F / 4

The force decreases by a factor of 4.

How much does the gravitational force between two objects change if the distance between the objects was to double?A. Force decreases by a factor of 4B. Force decreases by a factor of 2C. Force increases by a factor of 4D. Force increases by a factor of 2

How much does the gravitational force between two objects change if the distance between the objects was to double?

A. Force decreases by a factor of 4

B. Force decreases by a factor of 2

C. Force increases by a factor of 4

D. Force increases by a factor of 2