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Gauss law and gravitation

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A planet of density rho (spherical core radius R1) with thick spherical cloud of dust (density rho2 and radius R2) is discovered. what is teh force on a particle of mass m placed within the cloud?

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The solution shows how to apply Gauss law to gravitational fields.

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Like the electrostatic force, the gravitational force obeys an inverse square law.
Thus, Gauss' law is applicable to gravitational fields as well.

Gauss' law states that the flux through a closed surface (a surface that encloses a volume) is proportional to the field source (in an electrostatic field, the source is the charge; in a gravitational field, the source is the mass).

Therefore we can ...

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