Two objects are placed a certain distance from each other. The amount of gravitational force between the two objects depends on their masses and the distance between them. As the masses of the objects decrease, the force of gravity between them decreases . As the distance between the objects decreases, the force of gravity between them decreases .

1 answer

It seems there might be a small confusion in your statement regarding the relationship between distance and the gravitational force between two objects. Let me clarify:

The gravitational force between two objects can be described by Newton's law of universal gravitation, which states:

\[ F = G \frac{m_1 m_2}{r^2} \]

Where:

  • \( F \) is the gravitational force between the two objects,
  • \( G \) is the gravitational constant,
  • \( m_1 \) and \( m_2 \) are the masses of the objects,
  • \( r \) is the distance between the centers of the two objects.
  1. Masses of the Objects:

    • As the masses of the objects decrease, the gravitational force \( F \) between them also decreases. This is due to the direct relationship between mass and gravitational force; smaller masses result in a smaller gravitational force.
  2. Distance Between the Objects:

    • As the distance \( r \) between the objects decreases, the gravitational force \( F \) between them actually increases. This is because gravitational force is inversely proportional to the square of the distance; as the distance becomes smaller, the force becomes larger.

So, to correct your statement:

  • As the masses of the objects decrease, the gravitational force between them decreases.
  • As the distance between the objects decreases, the gravitational force between them increases.

If you have any more questions or need further clarification, feel free to ask!