Question

Il the distance between Zwo bodies is doubled
then the force between them.​

Answer 1

Answer:

The gravitational force between two objects is inversely proportional to the square of distance between them. So, if the distance between two objects is doubled, then the gravitational force becomes 2×21. That is, 1/4.

Answer 2

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Given:

Distance between 2 bodies has been doubled.

To find:

New force between them

Concept:

Gravitational force is a non-contact medium independent force between 2 masses. As per Newton's Law of Gravitation , we can say that :

Force is

• directly proportional to product of masses
• indirectly proportional to square of distance of separation.

Calculation:

Let initial force be F

F = {G (m1)(m2)}/R²

Now , distance of separation is doubled , so new distance = 2R

Let me force be F2 .

F2 = {G (m1)(m2)}/(2R)²

=> F2 = ¼ [ G (m1)(m2)/R²]

=> F2 = F/4

So force becomes ¼th pf previous force magnitude.