Suppose somebody put a coke can in the cup holder. The can is a perfect cylinder with radius R and height H. There is a very small airpocket since the can isn't completly full with a pressure, [tex]P_o[/tex]. The car accelerates horizonatlly with a value of A. The soda has a density of [tex]\rho[/tex]. What is the total pressure half way down the coke can?(adsbygoogle = window.adsbygoogle || []).push({});

Here is my attempt:

[tex]\SigmaF_x = mA = P_x*h*2R[/tex]

[tex]\SigmaF_y = 0 = P_o + \rho*g*/frac{H}{2} - P_y[/tex]

[tex]P=\sqrt{P_x^2 + P_y^2}[/tex]

Somethings seems wrong. Does anyone know a better way to do it? Or why this method is wrong?

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# Homework Help: Coke In a Car: Pressure Problem

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