Question
The gravitational force between two objects is inversely
proportional to
proportional to
Answers
GPT-4o mini
The gravitational force between two objects is inversely proportional to the square of the distance between them. This relationship is described by Newton's law of universal gravitation, which states:
\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
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 two objects,
- \( r \) is the distance between the centers of the two objects.
Thus, if the distance \( r \) increases, the gravitational force \( F \) decreases, following an inverse square relationship.
\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
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 two objects,
- \( r \) is the distance between the centers of the two objects.
Thus, if the distance \( r \) increases, the gravitational force \( F \) decreases, following an inverse square relationship.