To evaluate statements about Newton's theory of universal gravitation, it's important to have specific statements to assess. However, I can summarize key aspects of Newton's theory and its implications, which you can use to verify any specific statements.
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Universal Attraction: Newton's theory states that every mass attracts every other mass in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
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Mathematical Formula: The gravitational force \( F \) between two objects is given by 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.
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Gravitational Force is Weak: Compared to other fundamental forces (like electromagnetic forces), gravitational force is relatively weak. However, it has an infinite range and always attracts masses.
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Influence on Orbits: Newton's theory explains the motion of celestial bodies, including the orbits of planets around the sun and the motion of moons around their planets.
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Gravity Doesn't Depend on Composition: The gravitational force depends only on mass and distance, not on the composition of the objects involved.
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Invariance of Gravitational Laws: The laws of gravitation apply uniformly across the universe and are the same regardless of the location.
If you provide specific statements, I can confirm their accuracy based on the principles of Newton's theory of universal gravitation.