The Little Prince (a character in a book by Antoine de Saint-Exupery) lives on the spherically symmetric asteroid B-612. The density of B-612 is 5000 kg/m For the first set of questions, assume that the asteroid does not rotate. The Little Prince notices that he feels lighter whenever he walks quickly around the asteroid. In fact, he finds that he starts to orbit the asteroid like a satellite if he speeds up to 2.20 m/s. Part A Find the radius of the asteroid. Also, find the magnitude of the acceleration of the Prince while he is in his circular orbit at the surface of asteroid B-612. Give your answers as an ordered pair, with the asteroid radius first, followed by a comma, followed by the magnitude of the Prince's acceleration. > View Available Hint(s) radius, acceleration = m, mis Submit Part B The Prince carries a small compressed-air rocket with him at all times; the rocket is a safety device in case he gets separated from his asteroid. If the Prince jumps straight Up from the asteroid surface, what is the maximum possible jumping speed which will allow the Prince to return to the surface without using his safety rocket? Note: "jumping speed" refers to the speed of the jumping Prince at the instant just after his feet leave the surface.
The Little Prince (a character in a book by Antoine de Saint-Exupery) lives on the spherically symmetric asteroid B-612. The density of B-612 is 5000 kg/m For the first set of questions, assume that the asteroid does not rotate. The Little Prince notices that he feels lighter whenever he walks quickly around the asteroid. In fact, he finds that he starts to orbit the asteroid like a satellite if he speeds up to 2.20 m/s. Part A Find the radius of the asteroid. Also, find the magnitude of the acceleration of the Prince while he is in his circular orbit at the surface of asteroid B-612. Give your answers as an ordered pair, with the asteroid radius first, followed by a comma, followed by the magnitude of the Prince's acceleration. > View Available Hint(s) radius, acceleration = m, mis Submit Part B The Prince carries a small compressed-air rocket with him at all times; the rocket is a safety device in case he gets separated from his asteroid. If the Prince jumps straight Up from the asteroid surface, what is the maximum possible jumping speed which will allow the Prince to return to the surface without using his safety rocket? Note: "jumping speed" refers to the speed of the jumping Prince at the instant just after his feet leave the surface.
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Transcribed Image Text:The Little Prince
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I Review | Constants
The Little Prince (a character in a book by Antoine de Saint-Exupery) lives on the spherically symmetric asteroid B-612. The density of B-612 is 5000 kg/m³
For the first set of questions, assume that the asteroid does not rotate. The Little Prince notices that he feels lighter whenever he walks quickly around the asteroid. In fact, he finds that he starts to orbit the asteroid like a satellite if he speeds up to 2.20 m/s
Part A
Find the radius of the asteroid. Also, find the magnitude of the acceleration of the Prince while he is in his circular orbit at the surface of asteroid B-612.
Give your answers as an ordered pair, with the asteroid radius first, followed by a comma, followed by the magnitude of the Prince's acceleration.
• View Available Hint(s)
radius, acceleration =
m, m/s?
Submit
Part B
The Prince carries a small compressed-air rocket with him at all times; the rocket is a safety device in case he gets separated from his asteroid. If the Prince jumps straight Up from the asteroid surface, what is the maximum possible jumping speed which will allow
the Prince to return to the surface without using his safety rocket? Note: "jumping speed" refers to the speed of the jumping Prince at the instant just after his feet leave the surface.
Vo AEd
m/s
Submit
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