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We want to design a spacecraft that saves fuel by using radiation pressure on a

ID: 1441877 • Letter: W

Question

We want to design a spacecraft that saves fuel by using radiation pressure on a 6.25m^2 mirrored surface to propel it away from the sun. The distance between Earth and the sun is 1.49e11 m. The distance between Jupiter and the sun is 7.8e11 m.
a) When the spacecraft is just outside Earth's atmosphere, a sensor reads that the electric field of the sun's waves has an rms value of 720 N/C. What is the intensity of the sunlight there?
b) What is the intensity of sunlight when the spacecraft reaches Jupiter? (Assume the sun emits light isotopically and that you can draw imaginary spheres around the sun with their radius at Earth or Jupiter)
PLEASE ANSWER A AND B, AS IT GOES WITH THE SAME QUESTION. ALSO BE CLEAR IN YOUR WORK AND SHOW ALL STEPS!!! I will give you thumbs up if you do this :) We want to design a spacecraft that saves fuel by using radiation pressure on a 6.25m^2 mirrored surface to propel it away from the sun. The distance between Earth and the sun is 1.49e11 m. The distance between Jupiter and the sun is 7.8e11 m.
a) When the spacecraft is just outside Earth's atmosphere, a sensor reads that the electric field of the sun's waves has an rms value of 720 N/C. What is the intensity of the sunlight there?
b) What is the intensity of sunlight when the spacecraft reaches Jupiter? (Assume the sun emits light isotopically and that you can draw imaginary spheres around the sun with their radius at Earth or Jupiter)
PLEASE ANSWER A AND B, AS IT GOES WITH THE SAME QUESTION. ALSO BE CLEAR IN YOUR WORK AND SHOW ALL STEPS!!! I will give you thumbs up if you do this :) We want to design a spacecraft that saves fuel by using radiation pressure on a 6.25m^2 mirrored surface to propel it away from the sun. The distance between Earth and the sun is 1.49e11 m. The distance between Jupiter and the sun is 7.8e11 m.
a) When the spacecraft is just outside Earth's atmosphere, a sensor reads that the electric field of the sun's waves has an rms value of 720 N/C. What is the intensity of the sunlight there?
b) What is the intensity of sunlight when the spacecraft reaches Jupiter? (Assume the sun emits light isotopically and that you can draw imaginary spheres around the sun with their radius at Earth or Jupiter)
PLEASE ANSWER A AND B, AS IT GOES WITH THE SAME QUESTION. ALSO BE CLEAR IN YOUR WORK AND SHOW ALL STEPS!!! I will give you thumbs up if you do this :)
a) When the spacecraft is just outside Earth's atmosphere, a sensor reads that the electric field of the sun's waves has an rms value of 720 N/C. What is the intensity of the sunlight there?
b) What is the intensity of sunlight when the spacecraft reaches Jupiter? (Assume the sun emits light isotopically and that you can draw imaginary spheres around the sun with their radius at Earth or Jupiter)
PLEASE ANSWER A AND B, AS IT GOES WITH THE SAME QUESTION. ALSO BE CLEAR IN YOUR WORK AND SHOW ALL STEPS!!! I will give you thumbs up if you do this :)

Explanation / Answer

a) E =720 N/C

eo =8.85*10^-12 C^2/N.m^2, C=3*10^8 m/s

I = (1/2)eoE^2c

I =0.5*8.85*10^-12*720*720*3*10^8

I =688.2 W/m^2

(b) r1 = 1.49*10^11 m , r2 = 7,8*10^11 m

intensity I = P/A

I2/I1 = A1/A2 = (r1/r2)^2

I2/(688.2) = (1.49*10^11/7.8*10^11)^2

I2 = 25 W/m^2

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