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Part 4 of 6 - Solve In order to find the net force Fnet = Frad + FG = (Frad - FG)î on the spacecraft, you will need the magnitude of the gravitational force F and the magnitude of the radiation force Fad: Keep in mind that we've assumed %3D that the sail is completely reflective. Choose two equations: one for FG and one for F, Frad Frad = PA = GMm FG 2으4 rad = PA = F. rad = PA = GMm EG = Frad = PA = 2-A Correct. GMm r GMm Correct. Part 5 of 6 - Solve (Cont.) Combine the expressions for the gravitational and radiation forces to find an expression for the net force. Express your answer using the symbols defined in this tutorial. (The mass of the star is M. The mass of the spacecraft is m. The area of the sail is A. The star's luminosity is L, and is equal to the average power. Recall that P = SavoA, and A = 4xr². The distance between the center of the star and the spacecraft is r.) In the next step, you will substitute numbers to find the sign and direction of the net force. (Use any variable or symbol stated above along with the following as necessary: c and G.) F. net

Part 4 of 6 - Solve In order to find the net force Fnet = Frad + FG = (Frad - FG)î on the spacecraft, you will need the magnitude of the gravitational force F and the magnitude of the radiation force Fad: Keep in mind that we've assumed %3D that the sail is completely reflective. Choose two equations: one for FG and one for F, Frad Frad = PA = GMm FG 2으4 rad = PA = F. rad = PA = GMm EG = Frad = PA = 2-A Correct. GMm r GMm Correct. Part 5 of 6 - Solve (Cont.) Combine the expressions for the gravitational and radiation forces to find an expression for the net force. Express your answer using the symbols defined in this tutorial. (The mass of the star is M. The mass of the spacecraft is m. The area of the sail is A. The star's luminosity is L, and is equal to the average power. Recall that P = SavoA, and A = 4xr². The distance between the center of the star and the spacecraft is r.) In the next step, you will substitute numbers to find the sign and direction of the net force. (Use any variable or symbol stated above along with the following as necessary: c and G.) F. net

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Part 4 of 6 - Solve In order to find the net force F = Frad + ÉG = (Frad - Fe)î on the spacecraft, you will need the magnitude net of the gravitational force F and the magnitude of the radiation force Fad: Keep in mind that we've assumed that the sail is completely reflective. Choose two equations: one for FG and one for F, Frad Frad = PA = GMm FG 2으4 rad = PA = F. rad = PA = GMm EG = F. Frad = PA = 2–A Correct. GMm GMm Correct. Part 5 of 6 - Solve (Cont.) Combine the expressions for the gravitational and radiation forces to find an expression for the net force. Express your answer using the symbols defined in this tutorial. (The mass of the star is M. The mass of the spacecraft is m. The area of the sail is A. The star's inosity is L, and is equal to the average power. Recall that P = SavcA, and A = 4xr². The distance between the center of the star and the spacecraft is r.) In the next step, you will substitute numbers to find the sign and direction of the net force. (Use any variable or symbol stated above along with the following as necessary: c and G.) F. net Submit Skip (you cannot come back)
Transcribed Image Text:Part 4 of 6 - Solve In order to find the net force F = Frad + ÉG = (Frad - Fe)î on the spacecraft, you will need the magnitude net of the gravitational force F and the magnitude of the radiation force Fad: Keep in mind that we've assumed that the sail is completely reflective. Choose two equations: one for FG and one for F, Frad Frad = PA = GMm FG 2으4 rad = PA = F. rad = PA = GMm EG = F. Frad = PA = 2–A Correct. GMm GMm Correct. Part 5 of 6 - Solve (Cont.) Combine the expressions for the gravitational and radiation forces to find an expression for the net force. Express your answer using the symbols defined in this tutorial. (The mass of the star is M. The mass of the spacecraft is m. The area of the sail is A. The star's inosity is L, and is equal to the average power. Recall that P = SavcA, and A = 4xr². The distance between the center of the star and the spacecraft is r.) In the next step, you will substitute numbers to find the sign and direction of the net force. (Use any variable or symbol stated above along with the following as necessary: c and G.) F. net Submit Skip (you cannot come back)
Integrated Tutorial In a science fiction story, a major character pilots his own spacecraft, which is propelled by a stellar sail. As shown in the figure (not drawn to scale) a stellar sail is a large reflecting sheet attached to a spacecraft, much like an ordinary cloth sail is attached to a boat. Light from the star reflects off the sail, exerting a force on the sail. In the story, the spacecraft is small, and the single passenger sits in a small capsule. The trip is a short one, and there are no facilities in the capsule for rest, exercise, or nourishment. So we estimate the mass of the spacecraft, including the passenger and the stellar sail, to be m = 7000 kg. We further estimate the area of the stellar sail to be A = 8000 m2. Say that the mass of the star is M = 8 M, and its luminosity is L = 2170 Le, where the subscript o stands for the Sun. The mass of the Sun and its luminosity are 1.99 x 1030 kg and 3.84 x 1026 w, respectively. Find an approximate expression for the net force on the spacecraft. As a last step, determine whether the acceleration is toward or away from the star.
Transcribed Image Text:Integrated Tutorial In a science fiction story, a major character pilots his own spacecraft, which is propelled by a stellar sail. As shown in the figure (not drawn to scale) a stellar sail is a large reflecting sheet attached to a spacecraft, much like an ordinary cloth sail is attached to a boat. Light from the star reflects off the sail, exerting a force on the sail. In the story, the spacecraft is small, and the single passenger sits in a small capsule. The trip is a short one, and there are no facilities in the capsule for rest, exercise, or nourishment. So we estimate the mass of the spacecraft, including the passenger and the stellar sail, to be m = 7000 kg. We further estimate the area of the stellar sail to be A = 8000 m2. Say that the mass of the star is M = 8 M, and its luminosity is L = 2170 Le, where the subscript o stands for the Sun. The mass of the Sun and its luminosity are 1.99 x 1030 kg and 3.84 x 1026 w, respectively. Find an approximate expression for the net force on the spacecraft. As a last step, determine whether the acceleration is toward or away from the star.
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