Question

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?

Answer 1

The gravitational force : 3.125 N

Further explanation

Given

F₁ = 50 N

Required

F₂

Solution

Newton's Gravity Law:

`\rm F=G.(m_1.m_2)/(r^2)`

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