•P66 You stand on a spherical asteroid of uniform density whose mass is 2 × 1016 kg and whose radius is 10 km (10ª m). These are typical values for small asteroids, although some asteroids have been found to have much lower average density and are thought to be loose agglomerations of shattered rocks. (a) How fast do you have to throw the rock so that it never comes back o the asteroid and ends up traveling at a speed of 3 m/s when it is very far away? (b) Sketch graphs of the kinetic energy of the ock, the gravitational potential energy of the rock plus asteroid, and their sum, as a function of separation (distance from center of asteroid to rock). Label the graphs clearly.

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
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**Problem P66**

You stand on a spherical asteroid of uniform density whose mass is \(2 \times 10^{16}\) kg and whose radius is 10 km (\(10^4\) m). These are typical values for small asteroids, although some asteroids have been found to have much lower average density and are thought to be loose agglomerations of shattered rocks. 

(a) How fast do you have to throw the rock so that it never comes back to the asteroid and ends up traveling at a speed of 3 m/s when it is very far away? 

(b) Sketch graphs of the kinetic energy of the rock, the gravitational potential energy of the rock plus asteroid, and their sum, as a function of separation (distance from center of asteroid to rock). Label the graphs clearly.
Transcribed Image Text:**Problem P66** You stand on a spherical asteroid of uniform density whose mass is \(2 \times 10^{16}\) kg and whose radius is 10 km (\(10^4\) m). These are typical values for small asteroids, although some asteroids have been found to have much lower average density and are thought to be loose agglomerations of shattered rocks. (a) How fast do you have to throw the rock so that it never comes back to the asteroid and ends up traveling at a speed of 3 m/s when it is very far away? (b) Sketch graphs of the kinetic energy of the rock, the gravitational potential energy of the rock plus asteroid, and their sum, as a function of separation (distance from center of asteroid to rock). Label the graphs clearly.
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