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23 Nov 2019

Escape Speed
(a) What is the escape speed on a spherical asteroid whose radiusis 570 km and whose gravitational acceleration at the surface is10.0 m/s2?
m/s
(b) How far from the surface will a particle go if it leaves theasteroid's surface with a radial speed of 1000 m/s?
m
(c) With what speed will an object hit the asteroid if it isdropped from 1000 km above the surface?
m/s

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Beverley Smith
Beverley SmithLv2
25 Feb 2019

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Related textbook solutions

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

Related questions

On July 4, 2005, the NASA spacecraft Deep Impact fired aprojectile onto the surface of Comet Tempel 1. This comet is about9.0 km across. Observations of surface debris released by theimpact showed that dust with a speed as low as 1.0 m/s was able toescape the comet.

1. Assuming a spherical shape, what is the mass of this comet? (The escape speed for an object at the surface of Earth is 11.2km/s).

Express your answer using two significant figures.
M = kg



2. How far from the comet's center will this debris be when it haslost 60% of its initial kinetic energy at the surface?

Express your answer using two significant figures.
r = km

Black holes are objects whose gravitational field is so strong thatnot even light can escape. One way of thinking about this is toconsider a spherical object whose density is so large that theescape speed at its surface is greater than the speed of light, c.If a star's radius is smaller than a value called the Schwarzschildradius Rs, then the star will be a black hole, that is, lightoriginating from its surface cannot escape.
(a) For a nonrotating black hole, the Schwarzschild radius dependsonly upon the mass of the black hole. Show that it is related tothat mass M by Rs = (2GM)/c2.
(b) Calculate the value of the Schwarzschild radius for a blackhole whose mass is ten solar masses.
-----(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!

1. An unknown planet is measuredtoproduce an acceleration of 6.0 m/s2 near itssurface.The radius is measured to be R = 4.5x10^5 m.

a. What is the mass oftheplanet?

b. How much kinetic energy wouldanobject of mass m = 10kg need to escape the gravitationalpull of the planet?

c. If an object ofmassm = 10 kg is fired fromthe surface of the planet intospace (radially outward) with aninitial speed of v =900m/s, then how high above the surface will it reach?

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