Question

What happens to the force between two objects if the distance between objects is 5 times increased

Answer 1

Answer:-

When distance bewteen two objects is increased 5 times, then the gravitational force is decreased by 25 times.

Explanation:-

By Newton's Universal Law of Gravitation, we know that:-

=> F = GMm/r² ----[1]

Where:-

• F is gravitational force

• G is Universal Gravitational Constant

• M is mass of the 1st object

• m is the mass of the 2nd object

• r is the distance between the objects

Now, when the distance between the objects is increased 5 times i.e. 5r, then the new gravitational force (F'), will be :-

=> F' = GMm/(5r)²

=> F' = GMm/25r² ---[2]

On dividing eq.2 by eq.1, we get :-

=> F'/F = [GMm/25r²]/[GMm/r²]

=> F'/F = 1/25

=> F' = F/25