▾ Part B Suppose that the mirror described in Part A is initially at rest a distance R away from the sun. What is the critical value of area density for the mirror at which the radiation pressure exactly cancels out the gravitational attraction from the sun? Express your answer numerically, to two significant figures, in units of kilograms per meter squared. ▸ View Available Hint(s) mass/area= 15. ΑΣΦΑ ? kg/m²

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Chapter1: Units, Trigonometry. And Vectors
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A solar sail allows a spacecraft to use radiation
pressure for propulsion, similar to the way wind
propels a sailboat. The sails of such spacecraft aro
made out of enormous reflecting panels. The area
of the panels is maximized to catch the largest
number of incident photons, thus maximizing the
momentum transfer from the incident radiation.
If such a spacecraft were to be simply pushed away
from a star by the incident photons, the force of the
radiation pressure would have to be be greater than
the gravitational attraction from the star emitting the
photons. The critical parameter is the area density
(mass per unit area) of the sail.
Consider a perfectly reflecting mirror oriented so that solar radiation of intensity I is incident upon, and perpendicular to
the reflective surface of the mirror. If the mirror has surface area A, what is Frat, the magnitude of the average force due
to the radiation pressure of the sunlight on the mirror?
Express your answer in terms of the intensity 7, the mirror's surface area A, and the speed of light c
▸ View Available Hint(s)
Find=
21A
Previous Answers
Correct
To solve the second part of this problem you will need to know the following:
the mass of the sun. M
2.0 x 100 kg.
the intensity of sunlight as a function of the distance, R, from the sun,
Tum (R) 12x10 W
10
and
the gravitational constant G=6.67 x 10-11m²/(kg)
Transcribed Image Text:A solar sail allows a spacecraft to use radiation pressure for propulsion, similar to the way wind propels a sailboat. The sails of such spacecraft aro made out of enormous reflecting panels. The area of the panels is maximized to catch the largest number of incident photons, thus maximizing the momentum transfer from the incident radiation. If such a spacecraft were to be simply pushed away from a star by the incident photons, the force of the radiation pressure would have to be be greater than the gravitational attraction from the star emitting the photons. The critical parameter is the area density (mass per unit area) of the sail. Consider a perfectly reflecting mirror oriented so that solar radiation of intensity I is incident upon, and perpendicular to the reflective surface of the mirror. If the mirror has surface area A, what is Frat, the magnitude of the average force due to the radiation pressure of the sunlight on the mirror? Express your answer in terms of the intensity 7, the mirror's surface area A, and the speed of light c ▸ View Available Hint(s) Find= 21A Previous Answers Correct To solve the second part of this problem you will need to know the following: the mass of the sun. M 2.0 x 100 kg. the intensity of sunlight as a function of the distance, R, from the sun, Tum (R) 12x10 W 10 and the gravitational constant G=6.67 x 10-11m²/(kg)
▾ Part B
Suppose that the mirror described in Part A is initially at rest a distance R away from the sun. What is the critical value of
area density for the mirror at which the radiation pressure exactly cancels out the gravitational attraction from the sun?
Express your answer numerically, to two significant figures, in units of kilograms per meter squared.
▸ View Available Hint(s)
mass/area=
Submit
—| ΑΣΦ
?
kg/m²
Transcribed Image Text:▾ Part B Suppose that the mirror described in Part A is initially at rest a distance R away from the sun. What is the critical value of area density for the mirror at which the radiation pressure exactly cancels out the gravitational attraction from the sun? Express your answer numerically, to two significant figures, in units of kilograms per meter squared. ▸ View Available Hint(s) mass/area= Submit —| ΑΣΦ ? kg/m²
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