A star emits most of the energy it produces in the form of light waves. A spherical spacecraft of radius r = 50 m arrives to investigate the star. It is at a distance of 50 · 10^6 km from the stars center. The spaceship absorbs all the light that hits its surface. The power absorbed by the spacecraft from the star is 10^7 W (assume that the spaceship absorbs all the radiation that hits it). (a) Estimate the force that the EM radiation exerts on the spaceship. (b) What is the intensity (energy per area) of the star’s radiation at the location of the spacecraft? (c) What is the power output of the star? (d) Say that there is second spherical spacecraft a distance d = 10^8 km away, with a radius r = 10 m. If this spacecraft completely absorbs the radiation of the star, what is the power absorbed by the spaceship? [hint: The important area of the spaceship is its circular cross section]

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter34: Electromagnetic Waves
Section: Chapter Questions
Problem 34.43P: A possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit...
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A star emits most of the energy it produces in the form of light waves. A spherical spacecraft of radius r = 50 m arrives to investigate the star. It is at a distance of 50 · 10^6 km from the stars center. The spaceship absorbs all the light that hits its surface. The power absorbed by the spacecraft from the star is 10^7 W (assume that the spaceship absorbs all the radiation that hits it). (a) Estimate the force that the EM radiation exerts on the spaceship. (b) What is the intensity (energy per area) of the star’s radiation at the location of the spacecraft? (c) What is the power output of the star? (d) Say that there is second spherical spacecraft a distance d = 10^8 km away, with a radius r = 10 m. If this spacecraft completely absorbs the radiation of the star, what is the power absorbed by the spaceship? [hint: The important area of the spaceship is its circular cross section]
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