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X is a point on the line that joins the center of Earth and the Center of the moon. At X the resultant gravitational field strength of the Earth and the Moon are zero.

The following data are available: 

Mass of Earth: 6.0x10^24 kg

Mass of Moon: 7.2x10^22 kg

Radius of the Moon: 1.7x10^6 m

Distance from the center of the earth to the surface of the moon: 3.7x10^8 m

Determine the ratio Distance of X from the center of the Earth/ Distance of X from the center of the moon.

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Related textbook solutions

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

Related questions

Question 1

If you drop a 2.22 kg rock from a height of 1.25 m on Mars whosemass is 6.42x1023 kg and radius is 3.37x106 m, what will be the netforce on the falling rock in Newtons?Answer 8.37 N
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19.0N
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If you drop a 2.22 kg rock from a height of 1.25 m on Mars whosemass is 6.42x1023 kg and radius is 3.37x106 m, what will be therock's speed when it strikes Mars surface?Answer 1.49 m/s
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What is the magnitude of the gravitational force between the Earthand the Moon? The mass of the Moon is 7.349x1022kg and its meandistance from the Earth is 3.84x108m. The equatorial radius of theEarth is 6378 km and its mass is 5.974x1024kg.Answer 1.99x1014N
1.99x1016 N
1.99x1018 N
1.99x1020 N
.


At what distance from the center of the Earth will the force ofgravity due to the Earth be Equal to the force of gravity of theMoon, i.e. where between the Earth and the Moon will the force ofgravity be the same? The mass of the Moon is 7.349x1022kg and itsmean distance from the Earth is 3.84x108m. The equatorial radius ofthe Earth is 6378 km and its mass is 5.974x1024kg.Answer 1.44x108m
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3.45x108 m

At a certain instant, the earth, the moon, and a stationary 1220 kgspacecraft lie at the vertices of an equilateral triangle whosesides are 3.84 \times 10^{5}\:{\rm km} in length.

Find the magnitude of the net gravitational force exerted on thespacecraft by the earth and moon.
Take the gravitational constant to be 6.673 \times 10^{-11}\:{\rmN} \cdot {\rm m}^{2}/{\rm kg}^{2}, the mass of the Earth to be 5.97\times 10^{24}\:{\rm kg}, the mass of the Moon to be 7.35 \times10^{22}\:{\rm kg}.

Find the direction of the net gravitational force exerted on thespacecraft by the earth and moon. State the direction as an anglemeasured from a line connecting the earth and the spacecraft.

What is the minimum amount of work that you would have to do tomove the spacecraft to a point far from the earth and moon? You canignore any gravitational effects due to the other planets or thesun.

11: How fast would you need to travel a) to escape the gravitational pull of the sun? b) As the sun begins to die, it will become a red giant. This means that its mass will remain the same but its diameter will increase substantially. When the sun becomes a red giant will its escape speed be greater than, less than, or the same as it is now?


12: How fast would the moon need to travel in order to escape the gravitational pull of the Earth, if Earth has a mass of 5.98 X 10^24 kg and the distance from Earth to the moon is 3.84 X10^8 m?

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