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bazer43
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When Newton developed his law of universal gravitation, why would he use distance squared d², instead of 4/3πr³ as the field would expand in a sphere around the body?
bazer43 said:why would he use distance squared d², instead of 4/3πr³
Your observation in other words is that area A=##4\pi r^2## or ##4\pi d^2## following your reference, is used. Same amount of Force is distributed on sphere surface area of any ##r## or ##d##.bazer43 said:When Newton developed his law of universal gravitation, why would he use distance squared d², instead of 4/3πr³ as the field would expand in a sphere around the body?
"Any point source which spreads its influence equally in all directions without a limit to its range will obey the inverse square law."bazer43 said:When Newton developed his law of universal gravitation, why would he use distance squared d², instead of 4/3πr³ as the field would expand in a sphere around the body?
No one has dealt exactly with why the inverse cube law is not appropriate. The inverse square law is followed because there is nothing to decrease the effect of the attraction in the free space between the masses and the only reduction is because of the spreading out of the 'lines of gravitational force' over an increasing area as the distance increases.bazer43 said:When Newton developed his law of universal gravitation, why would he use distance squared d², instead of 4/3πr³ as the field would expand in a sphere around the body?
Newton used d² for gravitation law because it represents the inverse square relationship between the distance between two objects and the force of gravity between them. This means that as the distance between two objects decreases, the force of gravity increases by a factor of four.
Newton was inspired by the work of other scientists, such as Galileo and Kepler, who had already established the concept of gravity and its relationship to the distance between objects. He also conducted experiments and observations of falling objects to further develop his theory.
Yes, the use of d² in Newton's gravitation law is significant because it accurately describes the relationship between the distance and force of gravity between two objects. It also allows for precise calculations and predictions of the motion of objects in the universe.
Yes, Newton's use of d² in his gravitation law revolutionized the field of physics and had a significant impact on future scientific discoveries. It laid the foundation for our understanding of gravity and its role in the motion of objects in the universe.
There are alternative equations that can be used to describe the relationship between distance and force of gravity, such as the inverse cube law. However, Newton's use of d² has been proven to accurately describe the behavior of gravity and has remained the standard in physics for centuries.