Astronomers on a planet orbiting 1.500 AU from a star measure the irradiance at the top of their atmosphere as 1700 W/m². Assume that the irradiance includes all types of radiation produced by the star and that it is emitted isotropically (same in all directions) by the star so that the inverse square law of irradiance can be applied. The current mass of the star is know to be twice the mass of our Sun and that 0.100% of its curren mass will be available for hydrogen fusion to helium in the core of the star. What is the current rate of mass conversion in kg/s occurring in the core of the star? Given: 1 AU = 1.495978707 x 101 meters, M = 1.989 x 1030 kg, c= 2.9979 x 10º m/s If the star continues to "burn" mass at this same rate, how long will it be in Earth years until the star runs out of hydrogen fuel in it's core?

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Astronomers on a planet orbiting 1.500 AU from a star measure the irradiance at the top of their atmosphere
as 1700 W/m?. Assume that the irradiance includes all types of radiation produced by the star and that it is
emitted isotropically (same in all directions) by the star so that the inverse square law of irradiance can be
applied. The current mass of the star is know to be twice the mass of our Sun and that 0.100% of its current
mass will be available for hydrogen fusion to helium in the core of the star. What is the current rate of mass
conversion in kg/s occurring in the core of the star?
Given: 1 AU = 1.495978707 x 10"1 meters, M = 1.989 x 103° kg, c= 2.9979 x 10° m/s
aun
If the star continues to "burn" mass at this same rate, how long
will it be in Earth years until the star runs out of hydrogen fuel in it's core?
Transcribed Image Text:Astronomers on a planet orbiting 1.500 AU from a star measure the irradiance at the top of their atmosphere as 1700 W/m?. Assume that the irradiance includes all types of radiation produced by the star and that it is emitted isotropically (same in all directions) by the star so that the inverse square law of irradiance can be applied. The current mass of the star is know to be twice the mass of our Sun and that 0.100% of its current mass will be available for hydrogen fusion to helium in the core of the star. What is the current rate of mass conversion in kg/s occurring in the core of the star? Given: 1 AU = 1.495978707 x 10"1 meters, M = 1.989 x 103° kg, c= 2.9979 x 10° m/s aun If the star continues to "burn" mass at this same rate, how long will it be in Earth years until the star runs out of hydrogen fuel in it's core?
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