Question
What is the formula to calculate the gravitational force between two objects of different masses?
Answers
Answered by
GPT-4o mini
The gravitational force between two objects with masses \( m_1 \) and \( m_2 \) can be calculated using Newton's Law of Universal Gravitation, which is given by the formula:
\[
F = G \frac{m_1 m_2}{r^2}
\]
where:
- \( F \) is the gravitational force between the two objects,
- \( G \) is the gravitational constant (\( G \approx 6.674 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \)),
- \( m_1 \) and \( m_2 \) are the masses of the two objects, and
- \( r \) is the distance between the centers of the two masses.
This formula shows that the gravitational force is directly proportional to the product of the masses of the two objects and inversely proportional to the square of the distance between their centers.
\[
F = G \frac{m_1 m_2}{r^2}
\]
where:
- \( F \) is the gravitational force between the two objects,
- \( G \) is the gravitational constant (\( G \approx 6.674 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \)),
- \( m_1 \) and \( m_2 \) are the masses of the two objects, and
- \( r \) is the distance between the centers of the two masses.
This formula shows that the gravitational force is directly proportional to the product of the masses of the two objects and inversely proportional to the square of the distance between their centers.
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