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23 Nov 2019

(a) What is the escape speed on a spherical asteroid whose radiusis 545 km and whose gravitational acceleration at the surface is3.4 m/s^2?

(b) How far from the surface will a particle go if it leaves theasteroid's surface with a radial speed of 1000 m/s?


(c) With what speed will an object hit the asteroid if it isdropped from 1000 km above the surface?

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Reid Wolff
Reid WolffLv2
25 Oct 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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A NASA satellite has just observed an asteroid that is on a collision course with the Earth. The asteroid has an estimated mass, based on its size, of 5 × 109 kg. It is approaching the Earth on a head-on course with a velocity of 615 m/s relative to the Earth and is now 5.0 × 106 km away. With what speed will it hit the Earth's surface, neglecting friction with the atmosphere?

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-----(ANSWER in km)

P.S. The problem gives the hint "Use conservation of energy, and anescape speed equal to the speed of light to derive the expressionfor the Schwarzchild radius of a non-rotating black hole."

Thank you so much for any help!

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