Two objects have a gravitational force of attraction to each other, equal to 10 Newtons. What is their gravitational force if the distance between them is halved?
I have the answer, however I do not know how to get to it. Please explain.

The gravitational force when the distance between them is halved is 40 NHow to determine the gravitational force?Newton's law of universal gravity states as follow:F = GM₁M₂ / r²Where F is the force of attraction K is the electrical constant M₁ and M₂ are the masses of the objects r is the distance apart Finding a relationship between force and distance, the following were obtained:F = GM₁M₂ / r²Cross multiply Fr² = GM₁M₂GM₁M₂ = constant F₁r₁² = F₂r₂²Now, we can obtain the new gravitational force of as illustrated below:Initial gravitational force (F₁) = 10Initial distance (r₁) = rNew distance (r₂) = 1/2r = 0.5rNew gravitational force (F₂) =? F₁r₁² = F₂r₂²10 × r² = F₂ × (0.5r)²10r² = F₂ × 0.25r²Divide both side by 0.25r²F₂ = 10r² / 0.25r²F₂ = 10 / 0.25F₂ = 40 NThus, the gravitaional force is 40 NLearn more about force of attraction:https://brainly.com/question/2900681#SPJ1