(a) Find the gravitational potential energy of the astronaut on the surface of the planet. (b) Find the escape speed of the astronaut from that planet. (c) The astronauts planned that their home spacecraft would orbit the planet once every 4 hours. How far from the center of the planet would the orbit be? Is that reasonable?

(a) Find the gravitational potential energy of the astronaut on the surface of the planet. (b) Find the escape speed of the astronaut from that planet. (c) The astronauts planned that their home spacecraft would orbit the planet once every 4 hours. How far from the center of the planet would the orbit be? Is that reasonable?

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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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

(a) Find the gravitational potential energy of the astronaut on the surface of the
planet.
(b) Find the escape speed of the astronaut from that planet.
(c) The astronauts planned that their home spacecraft would orbit the planet once
every 4 hours. How far from the center of the planet would the orbit be? Is that
reasonable?

1. On a planet whose radius is 1.5 × 107 m, the acceleration due to gravity is 20 m/s².
An astronaut with a mass of 60 kg is standing on its surface.

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