The maximum height h of a mountain depends on the density of the rock the mountain is made out of ?ρ , the acceleration due to gravity g on the planet where the mountain is located, and the stress ?σ required to break the rock.  The SI units of stress are N/m2.  The maximum mountain height can be written as  ℎ=???????h=kρxgyσz , where k is some unitless constant.  What must be the value of y

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The maximum height h of a mountain depends on the density of the rock the mountain is made out of ?ρ , the acceleration due to gravity g on the planet where the mountain is located, and the stress ?σ required to break the rock.  The SI units of stress are N/m2.  The maximum mountain height can be written as 

ℎ=???????h=kρxgyσz ,

where k is some unitless constant.  What must be the value of y?

 
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