Limit of a mountain using universal gravitation

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SUMMARY

The maximum height of a mountain on Mars is determined by the gravitational force exerted on its base, which is influenced by the planet's mass and radius. Using the universal gravitation formula F=G(m1*m2/R^2), one can derive the gravitational acceleration (g) on Mars, which is approximately 3.71 m/s². This value is significantly lower than Earth's 9.81 m/s², indicating that mountains on Mars can be taller than those on Earth, potentially exceeding 8850 meters. The discussion emphasizes the importance of understanding gravitational forces in geological formations.

PREREQUISITES
  • Understanding of universal gravitation and the equation F=G(m1*m2/R^2)
  • Basic knowledge of gravitational acceleration and its implications
  • Familiarity with planetary mass and radius concepts
  • Concept of material strength and structural limits in geology
NEXT STEPS
  • Calculate gravitational acceleration on Mars using F=G(m1*m2/R^2)
  • Research the structural limits of geological materials under different gravitational forces
  • Explore comparative planetology focusing on mountain heights across different celestial bodies
  • Study the implications of lower gravity on geological processes and formations
USEFUL FOR

Geologists, astrophysicists, and students interested in planetary science and the effects of gravity on geological structures.

BoldKnight399
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The height of a mountain is limited by the ability of the atoms at the bottom to sustain the weight of the materials above them. Assuming that the tallest mountains on Earth (at about 8850m) are near this limit, how tall could that mountain be on Mars, with mass .11Me and radius .53 Re?

I know that this should include the equation:
F=G(m1*m2/R^2) but I don't understand how. To be honest I don't understand how one could possibly find an actual number from this limited information. (it is a multiple choice answer question, and all the choices are numbers. However, I would rather solve it myself so I can understand the concept.)
 
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Hint: what would the value of g be on the surface of Mars?
 

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