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## Homework Statement

I found this statement from my book :

For points outside a uniform sphere of mass M, the gravitational fields is the same as that of a point mass M at the center of the sphere.

My question : what is the meaning of it?

## Homework Equations

[tex]g=G\frac{M}{r^2}[/tex]

## The Attempt at a Solution

I don't think it will be the same.

At the center of the sphere, r = 0 and g will be infinite ??

And for point outside a uniform sphere, for a certain value of r, the point will have certain value of g, so how can they be the same?

Thanks