A distant large asteroid is detected that might pose a threat to Earth. If it were to continue moving in a straight line at constant speed, it would pass 28500 km from the center of Earth. However, it will be attracted to Earth and might hit our planet. What is the minimum speed, in meters per second, that the asteroid should have when it is detected for it to miss hitting Earth? In other words, what speed should the asteroid have for it to just graze the surface of Earth?

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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 A distant large asteroid is detected that might pose a threat to Earth. If it were to continue moving in a straight line at constant speed, it would pass 28500 km from the center of Earth. However, it will be attracted to Earth and might hit our planet.

What is the minimum speed, in meters per second, that the asteroid should have when it is detected for it to miss hitting Earth? In other words, what speed should the asteroid have for it to just graze the surface of Earth? 

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