how, and by how much, does the gravitational force between two objects change if?

Question

a)the distance between them triples?
b)the distance between them drops in half?
c)the mass of the bigger object is doubled?
d)the mass of the smaller object is doubled?
(This question is about Newton's law of gravity withour asking do full-fledged calculations with the complete formula. For each of these questions,just focus on what would happen if you changed the one given thing.)

Answer 1

The force of gravity between two objects is F = G*m1*m2/r^2, where r=distance between them.

Since the force is inversely proportional to the distance between them, tripling the distance decreases the force to 1/9 of the original value. This is demonstrated by the following process: r =3* r0; F0 = G*m1*m2/r0^2 F = G*m1*m2/r^2 = G*m1*m2/(3*r0)^2 = G*m1*m2/(9*r0^2) = (1/9)* G*m1*m2/r0^2 = (1/9)*F0

You should be able to do the rest by following the above example.

Answer 2

certain, it might decrease. Gravitational stress is proportional to the made from the extremely some the products. it really is modeled by skill of this equation: Fg=G*m1*m2/r^2, the area Fg is the gravitational stress, r is the hollow between the products, G is the gravitational consistent, m1 is the mass of merchandise a million and m2 is the mass of merchandise 2

Answer 3

The force is directly proportional to the product of their masses, and inversely proportional to the square of the distance between them; double the distance, one quarter of the force; triple one of the masses, three times the force, and so on. Hope that helps enough!