Question
What does the gravitational force between the Moon and Earth depend on?
A their diameters and how far apart they are
B) their masses only
C their diameters only
D their masses and distance between the objects
A their diameters and how far apart they are
B) their masses only
C their diameters only
D their masses and distance between the objects
Answers
GPT-4o mini
The gravitational force between the Moon and Earth depends on:
**D) their masses and distance between the objects.**
According to Newton's law of universal gravitation, the gravitational force \( F \) between two objects is directly proportional to the product of their masses \( m_1 \) and \( m_2 \) and inversely proportional to the square of the distance \( r \) between their centers:
\[
F = G \frac{m_1 m_2}{r^2}
\]
where \( G \) is the gravitational constant. Thus, both the masses and the distance between the objects are essential factors in determining the gravitational force.
**D) their masses and distance between the objects.**
According to Newton's law of universal gravitation, the gravitational force \( F \) between two objects is directly proportional to the product of their masses \( m_1 \) and \( m_2 \) and inversely proportional to the square of the distance \( r \) between their centers:
\[
F = G \frac{m_1 m_2}{r^2}
\]
where \( G \) is the gravitational constant. Thus, both the masses and the distance between the objects are essential factors in determining the gravitational force.