The escape speed from Earth is 11.2 km/s, but that is only the minimum speed needed to

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The escape speed from Earth is 11.2 km/s, but that is only the minimum speed needed to escape Earth's gravitational pull; it does not give the object enough energy to leave the solar system. What is the minimum speed for an object near the Earth's surface so that the object escapes both the Earth's and the Sun's gravitational pulls? Ignore drag due to the atmosphere and the gravitational forces due to the Moon and the other planets. Also ignore the rotation and the orbital motion of the Earth?
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Physics

ISBN: 978-0077339685

2nd edition

Authors: Alan Giambattista, Betty Richardson, Robert Richardson

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