How Does Newton's Law of Gravitation Influence Modern Physics?

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The discussion centers on the definition and implications of "g," the acceleration due to gravity, in the context of Newton's Law of Gravitation. Participants clarify that "g" is derived from the formula g = GM/R^2, where G is the gravitational constant, M is the Earth's mass, and R is the radius of the Earth. The conversation emphasizes the importance of understanding the relationship between gravitational force and acceleration. There is a focus on the formalism of these concepts and how they relate to modern physics. Overall, the dialogue highlights the foundational role of Newton's law in explaining gravitational phenomena.
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Dirac.
 
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Well, what is the definition of "g"?
 
It is true that "g" has units of force per mass, but that is not what I asked you about.

What is the standard meaning of "g"?
Hint: It has a name all by itself..
 
No, it is called the "acceleration due to gravity".
Have you heard that expression before?
 
You never said what "g" was, only A!
In your problem, it should be interpreted as the acceleration at the Earth's surface.

So, letting M be the Earth's mass, we have that g=M/R^2
Is that enough of a hint?
 
I forgot it..
It should be g=GM/R^2
 
I think the ingredient's you need are f=GmM/r/r Newtons law of gravity and f=ma then you prove the rest simply by definition of small g=a at r=R. You do a few substitutions and you are there. You are probably having problems with the formalism of the process?
 
This has gone on for 6 responses now and I still wonder: What are you asking about Newton's law of gravity?
 
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