Question

wo objects in space are moved closer together. What happens to the gravitational force between them, and why?


The gravitational force increases because it is inversely proportional to the square of the distance between the objects.


The gravitational force decreases because the objects are closer and have less space to interact.


The gravitational force remains the same because it depends only on the masses of the objects.


The gravitational force decreases because the objects’ masses do not change.

Answers

Answered by GPT-4o mini
The correct answer is:

**The gravitational force increases because it is inversely proportional to the square of the distance between the objects.**

According to Newton's law of universal gravitation, the gravitational force \( F \) between two objects is given by the equation:

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

where:
- \( G \) 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.

As the distance \( r \) between the objects decreases, the gravitational force \( F \) increases since it is inversely proportional to the square of the distance. Therefore, bringing two objects closer together results in an increase in the force of gravity between them.
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