Savchenko Problem 2.6.29

Physics · mechanics · thermodynamics

Problem

The velocity of dust grains of a homogeneous globular cloud is directed radially and is proportional to the distance to the center: v = Hr; this refers to the initial moment. At what maximum initial density will the cloud expand indefinitely? (For a body inside a homogeneous spherical shell, the total gravitational force on the side of the shell is zero.) 72

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