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Amal Jeeva
Amal JeevaLv10
3 Dec 2020
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Related textbook solutions

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

Related questions

To escape Earth’s gravitational field, a rocket must be launched with an initial velocity called the escape velocity. A rocket launched from the surface of Earth has velocity v (in miles per second) given by

   

where v_0 is the initial velocity, r is the distance from the rocket to the center of Earth, G is the gravitational constant, M is the mass of Earth, and R is the radius of Earth (approximately 4000 miles).

(a) Find the value of v_o for which you obtain an infinite limit for r as v approaches zero. This value of v_o is the escape velocity for the earth.

(b) A rocket launched from the surface of the moon has velocity v (in miles per second) given by

   

Find the escape velocity for the moon.

(c) A rocket launched from the surface of a planet has velocity v (in miles per second) given by

   

 Find the escape velocity for this planet. Is the mass of this planet larger or smaller than that of Earth? (Assume that the mean density of this planet is the same as that of Earth.)

To escape Earth's gravitational field, a rocket must be launched with an initial velocity called the escape velocity. A rocket launched from the surface of Earth has velocity v (in miles per second) given by
 
 
where v0 is the initial velocity,
r is the distance from the rocket to the center of Earth
G is the gravitational constant
W is the mass of Earth,
and R is the radius of Earth (approximately4000 miles).
 
Find the value of v„" for which you obtain an infinite limit for r as v approaches zero. This value of v0 is the escape velocity for Earth.
 

 

The escape velocity on earth is 11.2 km/s. What fraction of the escape velocity is the rms speed of H2 at a temperature of 44.0 degrees Celsius on the earth? Note that virtually all the molecules will have escaped the earth's atmosphere if this fraction exceeds 0.15.

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