Final answer:
The force of gravity between the objects would be nine-fourths or 2.25 times the original force.
Step-by-step explanation:
The force of gravity between two objects can be calculated using the equation F = G * ((m1 * m2) / r^2), where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the objects.
If the mass of one of the objects is tripled and the distance between them is doubled, the force of gravity between them would be:
F' = G * (((3 * m) * m) / (2r)^2) = G * (9 * (m * m) / (4 * r^2)) = (9/4) * (G * ((m * m) / r^2)) = (9/4) * F.
Therefore, the force of gravity between the objects would be nine-fourths or 2.25 times the original force.