The two variables that affect the gravitational force between two objects are?

A Density and speed

B Velocity and distance

C Mass and speed

D Mass and distance

D Mass and distance

To determine which of the given options are the variables that affect the gravitational force between two objects, we can analyze each option:

A - Density is not a variable that affects gravitational force. Density is defined as mass divided by volume and is not directly involved in the gravitational force equation. Speed also does not directly affect gravitational force. Therefore, option A is incorrect.

B - Velocity is not a variable that affects gravitational force. Velocity is a measure of speed in a specific direction and is not directly involved in the gravitational force equation. Distance, on the other hand, does affect gravitational force. The force of gravity between two objects decreases with the square of the distance between them. Therefore, option B is incorrect.

C - Mass is a variable that affects gravitational force. According to Newton's law of universal gravitation, the force of gravity between two objects is directly proportional to the product of their masses. Speed, however, is not a variable that affects gravitational force. Therefore, option C is incorrect.

D - Mass is a variable that affects gravitational force. As stated before, the force of gravity between two objects is directly proportional to the product of their masses. Distance is also a variable that affects gravitational force. According to Newton's law of universal gravitation, the force of gravity between two objects decreases with the square of the distance between them. Therefore, option D is correct.

In conclusion, the two variables that affect the gravitational force between two objects are mass and distance, as stated in option D.

The two variables that affect the gravitational force between two objects are:

D Mass and distance