Question

Find the change in the force of gravity between two planets when the distance between them becomes 10 times smaller. g

Answer 1

F' = F/16

So, the force of gravity has become 16 times less than initial value.

Step-by-step explanation:

The force of gravity between two planets, is given by the following formula:

F = Gm₁m₂/r² ----------- equation 1

where,

F = Force of gravity between two planets

G = Gravitational Constant

m₁ = Mass of one planet

m₂ = Mass of other plant

r = Distance between two planets

Now, if the distance between the planets (r) is 10 times smaller, then Force of gravity will become:

F' = Gm₁m₂/(4r)²

F' = (1/16) (Gm₁m₂/r²)

using equation 1:

F' = F/16

So, the force of gravity has become 16 times less than initial value.