Final answer:
Increasing the temperature of two objects will keep the gravitational force between them unchanged because temperature does not affect gravitational interactions. It is the masses and the distance between objects that influence gravitational force, according to the inverse square law.
Step-by-step explanation:
The gravitational force between two objects will remain unchanged if the temperature of the objects is increased. This is because gravitational force is not affected by temperature changes. According to the law of universal gravitation, the gravitational force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them (inverse square law). Therefore, changes in mass or distance will affect the force, but temperature changes will not. Specifically, increasing the distance between the objects will decrease the force, while decreasing the distance will increase it. Changing the mass of either object will also change the gravitational force proportional to the product of their masses.