3. If the gravitational force between 2 objects is 50 N, what is the gravitational force when the distance between the two is increased to four times the distance?

The gravitational  force : 3.125 N

Given

F₁ = 50 N

Required

F₂

Solution

Newton's Gravity Law:  

with F = gravitational force,  

G = gravitational constant,  

m1, m2 = mass of object,  

r = distance between two objects.  

The value of m and G are the same , so :

F₁ ≈ 1/r₁²

The distance between the two is increased to four times:

r₂ = 4r₁

F₂ = 1/(4r₁)²

F₂ = 1/16r₁²

F₂ = F₁ x 1/16

F₂ = 50 : 16

F₂ = 3.125 N

a. are