A grain of cosmic dust in the solar system is subject to both the sun gravitational attraction and the force due to the radiation pressure. Assuming the particle is spherical and able to absorb all the radia- tion; calculate the minimum value ao of the radius below which the particle would be pushed out of the solar system. Numeric values 3.96 1026 W, are: mass of the sun M 2-1030 kg, power solar P density of the grain p= 2.7 103 kg/m³.
A grain of cosmic dust in the solar system is subject to both the sun gravitational attraction and the force due to the radiation pressure. Assuming the particle is spherical and able to absorb all the radia- tion; calculate the minimum value ao of the radius below which the particle would be pushed out of the solar system. Numeric values 3.96 1026 W, are: mass of the sun M 2-1030 kg, power solar P density of the grain p= 2.7 103 kg/m³.
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If possible i'd like a detailed solution for this question, with the name of equations used to solve and a bit of an explanation, thank you!
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