Earth's Gravitational Force On Me

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Discussion Overview

The discussion revolves around calculating the gravitational force between a person and the Earth, using the gravitational force formula. It includes aspects of mathematical reasoning and conceptual clarification regarding the application of the formula and unit conversions.

Discussion Character

  • Mathematical reasoning
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant calculates the gravitational force to be approximately 8.3514...x10^8 N using the formula F=G ( (m1xm2)/r^2) with given values for mass and distance.
  • Another participant suggests that the calculated force seems too high and proposes that the correct force should be around 834 N, indicating a potential order of magnitude error.
  • A third participant questions whether the first participant converted the distance to meters for the calculation, implying this could be a source of error.
  • Another participant confirms the importance of unit conversion, noting the significant difference in magnitude when using kilometers versus meters.
  • The original poster humorously acknowledges a misunderstanding, suggesting they mistakenly treated themselves as a celestial body in the calculation.

Areas of Agreement / Disagreement

Participants express disagreement regarding the initial calculation of gravitational force, with multiple viewpoints on the correct approach and potential errors in unit conversion. The discussion remains unresolved regarding the accurate calculation.

Contextual Notes

Limitations include the need for proper unit conversion and the assumptions made in applying the gravitational force formula. The discussion does not resolve the mathematical steps leading to the initial error.

Zack Davis
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I am working on a problem to sate my own curiosity. :) My mass is approximately 85.1 Kg. The Earth's mass is approximately (5.972x10^24 kg) and the distance between our center of masses is roughly the same as the Earth's radius of (6371 km) so I was wondering; what would the Earth's gravitational force be between the two of us. My answer is 8.3514...x10^8 N
(Using the formula:
F=G ( (m1xm2)/r^2) )
Am I correct? Thank you!
 
Last edited:
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Oh my, no. One kilogram is equal to about 9.8 Newtons here on Earth, so you should be getting about 834 Newtons, or 8.34x102. It looks like you've made some sort of order of magnitude error, but I can't be sure.
 
Hi Zack Davis. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Your answer is a little greater than expected. I was thinking more like 85.1x9.81 N

Did you convert distance to metres for that formula?
 
Last edited by a moderator:
NascentOxygen said:
Did you convert distance to metres for that formula?

I bet that's it. 6,000 Km squared is 3.6x107, but 6,000,000 meters squared is 3.6x1013, a difference of 6 orders of magnitude, which is how far off his final value is.
 
I found the problem, I was acting as though I am a celestial body! Haha. Thank you all for the help!
 

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