The highest mountain can exist on the earth.

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1. How can we calculate the bigest-highest mountain which can exist on the earth? There is a limit, because of the gravity and the shape of our planet, but how can we calculate it?

Thank you.
 
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What effects increase the height of mountains? What effects decrease the height of mountains? When the dominant second effect exactly counteracts the dominant first effect, you'll have a mountain of maximum height. What are your thoughts?
 
Thank you for your answers
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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