Question

Determine the mass of planet Earth using the standard value of atmospheric pressure. Use Newton's Second...

Determine the mass of planet Earth using the standard value of atmospheric pressure. Use Newton's Second Law in your favor to get your result. Do not place units. (Patm = 101325 Pa, RTarth = 6.37 x 106 m, g = 9.8 m / s2, Sphere = 4πr2) * Write your result as follows: ex. 6.37e106 *

Homework Answers

Answer #1

Consider a unit area on the surface of the Earth.

The atmospheric pressure is

we know,

this force must be exactly equal to gravitational force.

where m is the mass of that air column

also using Newton's second law,

mow, putting values,

So, the mass of the Earth is 5.96e24

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