Gravity Q: Adding Mass to Increase G Force & Earth Radius

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SUMMARY

To increase Earth's gravitational acceleration from 9.8 m/s² to a rounded 10 m/s², significant mass must be added to the planet. Assuming Earth's density remains constant, calculations indicate that approximately 5.1 x 10^24 kg of mass would be required. This would necessitate an increase in Earth's radius to maintain the same density, resulting in a new radius of approximately 6,400 kilometers. The discussion also touches on potential sources for the additional mass, such as asteroid mining.

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  • Understanding of gravitational physics and formulas
  • Familiarity with Earth's density (5,515 kg/m³)
  • Basic knowledge of mass and radius relationships in physics
  • Awareness of asteroid mining concepts
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  • Research gravitational acceleration calculations in physics
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Gravity Question??

Jack is tired of having to use 9.8m/s2 all the time to do his calculations concerning gravity. He wants to use a nice round number 10 m/s2. How much mass would have to be added to the Earth to make this happen? What would the new radius of the Earth be? Assume that the density of the Earth will remain the same. Where could you get the mass needed?
 
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