Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 19, Problem 4P
To determine

The circular orbit velocity at its surface.

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After Ceres was promoted to a dwarf planet, we now recognize the largest known asteroid to be Vesta, with a mass of 2.67 × 1020 kg and a diameter ranging from 578 km to 458 km. Assuming that Vesta is spherical with radius 520 km, find the approximate escape velocity from its surface.
The asteroid Ceres has a mass of 9.39 ✕ 1020 kg and an average radius of about 473 km (4.73 ✕ 102 km). What is its escape velocity (in m/s)? (Hints: Use the formula for escape velocity)
If asteroid Toutatis were to pass somewhere within 24 x105 km of planet Syrene, what is the probability that it would strike the Syrene? Calculate the probability by considering an imanginary dartboard of radius 24 x105 km in which the bulls-eye has Syrene's radius, 6500.0 km. Assume the radius of Toutatis is much smaller than the radius of Syrene.
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