Deriving mass of Earth from definition of gravity

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SUMMARY

The discussion centers on deriving the mass of the Earth using the gravitational equation a = GM(earth)/r². Participants confirm that this problem can be solved by substituting known values into the equation, indicating that a straightforward application of the formula is sufficient. The consensus is that while calculus could be considered, the problem is primarily a plug-and-chug exercise. No advanced techniques are necessary for this derivation.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with the equation a = GM(earth)/r²
  • Basic algebra skills for solving equations
  • Knowledge of gravitational acceleration values
NEXT STEPS
  • Review the derivation of gravitational force using Newton's Law of Universal Gravitation
  • Explore the concept of gravitational acceleration and its implications
  • Learn about the constants involved in gravitational calculations, such as G (gravitational constant)
  • Investigate the historical context of gravitational theory and its evolution
USEFUL FOR

Students in physics or astronomy, educators teaching gravitational concepts, and anyone interested in understanding the fundamental principles of gravity and mass derivation.

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Homework Statement


Using the definition of gravity, derive the mass of the Earth


Homework Equations


I am unsure if this is simply a plug n chug problem and I am over thinking it or there is some way to use calculus to derive the mass from the gravity equation.


The Attempt at a Solution



I am looking at the equation a=GM(earth)/r^2
I know I can simply find these values in my textbook, but I don't see why it would be that simple of a problem. So I just feel like there must be something I am missing.
 
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I don't think you're missing anything. Plug-n-chug away!
 
phyzguy said:
I don't think you're missing anything. Plug-n-chug away!

awesome thank you :D
 

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