3. The Little Prince is a fictional character who lives on a very small planet. Suppose that the planet has a mass of 2 x1013 kg and a radius of 1000 m. The Little Prince. (a) How long would it take for an object to fall from rest a vertical distance of 1.00 m? 13 (b) What is the escape velocity from a very small planet? (c) Suppose the Little Prince throws a ball vertically upward, giving it an initial velocity of 1.0 m/s. What would be the maximum height reached by the ball? (d) At what speed could a ball be thrown horizontally so that it would travel in a circular orbit just above the surface of the planet?

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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter13: Gravitation
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Problem 63AP: Suppose you can communicate with the inhabitants of a planet in another solar system. They tell you...
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3. The Little Prince is a fictional character who lives on a very small
The Little Prince.
planet. Suppose that the planet has a mass of 2 x103 kg and a
radius of 1000 m.
(a) How long would it take for an object to fall from rest a
vertical distance of 1.00 m?
(b) What is the escape velocity from a very small planet?
(c) Suppose the Little Prince throws a ball vertically upward,
giving it an initial velocity of 1.0 m/s. What would be the maximum
height reached by the ball?
(d) At what speed could a ball be thrown horizontally so that it
would travel in a circular orbit just above the surface of the planet?
Transcribed Image Text:3. The Little Prince is a fictional character who lives on a very small The Little Prince. planet. Suppose that the planet has a mass of 2 x103 kg and a radius of 1000 m. (a) How long would it take for an object to fall from rest a vertical distance of 1.00 m? (b) What is the escape velocity from a very small planet? (c) Suppose the Little Prince throws a ball vertically upward, giving it an initial velocity of 1.0 m/s. What would be the maximum height reached by the ball? (d) At what speed could a ball be thrown horizontally so that it would travel in a circular orbit just above the surface of the planet?
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