Which of the following statements about newton’s theory of universal gravitation is true

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To determine which statements about Newton's theory of universal gravitation are true, let's look at some key principles of the theory:

1. **Universal Attraction**: Every mass attracts every other mass in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

2. **Gravitational Force Formula**: The gravitational force \( F \) between two objects can be calculated using the formula \( F = G \frac{m_1 m_2}{r^2} \), where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the objects, and \( r \) is the distance between their centers.

3. **Inverse Square Law**: The gravitational force decreases with the square of the distance between two masses, meaning that if you double the distance, the gravitational force becomes one-fourth its original value.

4. **Applicability**: Newton's theory is applicable to a wide range of gravitational interactions in classical mechanics but is superseded by Einstein's theory of general relativity for describing gravity in extreme conditions, such as near black holes or at very high speeds.

If you provide specific statements regarding Newton's theory of universal gravitation, I can help identify which one(s) are true or false based on the principles mentioned above.