How Does Newton's Shell Theorem Affect Gravitational Force on Earth?

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Newton's Shell Theorem states that a uniform spherical shell of mass exerts no net gravitational force on an object located inside it. This means that a person standing on Earth, which can be approximated as a sphere, experiences gravitational force only from the mass of the Earth that is beneath them. The gravitational force outside the shell behaves as if all the mass were concentrated at the center. The discussion highlights the need for the equation that describes gravitational force in this context. Understanding this theorem is crucial for comprehending gravitational interactions on Earth.
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hello all,
I was looking for the equation for the shell therom.
general expression for the magnitude of the gravitational force

but the one were the one sphear is inside the other, such as a person on the earth.
 
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adp5025 said:
hello all,
I was looking for the equation for the shell therom.
general expression for the magnitude of the gravitational force

but the one were the one sphear is inside the other, such as a person on the earth.
Have a look at http://www.kineticbooks.com/physics/trialpse/13_Gravity%20and%20Orbits/06/sp.html" .

AM
 
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