•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.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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•P66 You stand on a spherical asteroid of uniform density whose mass is 2 x 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
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:•P66 You stand on a spherical asteroid of uniform density whose mass is 2 x 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 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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