Quick Guass's Law of Gravitation Clarification

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SUMMARY

The forum discussion clarifies the application of Gauss's Law of Gravitation, specifically addressing the equation ∇g = C (1/r^2)∂/∂r(r^4). The term r^4 arises from the differentiation process in spherical coordinates, as explained in the provided Wikipedia link. Additionally, the symbol "∴" is defined as "therefore," indicating a conclusion in mathematical expressions. This discussion effectively resolves common misunderstandings related to these concepts.

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  • Understanding of Gauss's Law of Gravitation
  • Familiarity with vector calculus and divergence
  • Knowledge of spherical coordinates
  • Basic mathematical notation and symbols
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Homework Statement



The picture attached shows the answer to a sample problem... I don't understand the last step... how does ∇g = C (1/r^2)∂/∂r(r^4) ? where did the r^4 come from and what does the triple dot triangle: "∴" mean? I understand every step except for the last one... thanks

Homework Equations





The Attempt at a Solution

 

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bmb2009 said:

Homework Statement



The picture attached shows the answer to a sample problem... I don't understand the last step... how does ∇g = C (1/r^2)∂/∂r(r^4) ? where did the r^4 come from and what does the triple dot triangle: "∴" mean? I understand every step except for the last one... thanks

Homework Equations





The Attempt at a Solution


To answer your first question:

http://en.wikipedia.org/wiki/Divergence#Spherical_coordinates


To answer your second question, this symbol: ##\therefore## means, "therefore."
 
ahh thank you so much
 

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