The gravitational field strength at the surface of a certain neutron star is 1.34*10^12 N/kg. What would be the theoretical maximum height of a cylindrical granite column which could support its own weight without crushing when exposed to a field of this magnitude? (density of granite

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You evidently left out part of the question with some important numbers. You are going to need the density (rho) and crushing strength of granite (sigmamax). You already have
g = 1.35*10^12 N/kg
Let the unknown max height be H.

(rho)*g*H = sigmamax

Solve for H
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