Question

Gravitational force between two objects is 80 N. How should the distance between these objects be changed so that the force between them becomes 80 N?

Answer 1

Let  :

• the initial force between the objects be F1
• the final force between the object be F2
• the initial distance between the object being  r1
• the final distance between the object be r2

Given:

• Initial force F1 =80N
• final force F2=80N

Supposed things;

• Initial distance =r1
• final distance =r2

Then by using a law that states that "the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between them "

                   F=M₁M₂/R²

given relation- F$\alpha$1/ R².

Thus,     F₁/F₂$\alpha$ (R₂/R₁)²

•          80 N/80 N =(R₂/R₁ )²  or

                      √1 N =R₂/R₁

                       R₂=R₁        (because √1 is 1)

                 Thus, for the given force there is no need to change the distance between the object.