Question

What happens to the gravitational force between two objects when the :

(a) mass of one object is doubled.(b) distance between the objects is tripled.(c) masses of both objects are doubled and the distance between them is tripled

Answer 1

We know,

F = Gm₁m₂/r²

Where, m­₁ and m₂ are the masses of the objects separated by a distance ‘r’.

When m₁ is doubled, m₂ is tripled and r remains same

F^/ = G(2m₁)(3m₂)/r²

=> F^/ = 6F

The gravitational force between the masses becomes six times of the original value.

Percentage change = (6F - F) * 100
500%

Regards