$\"\"$

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The two bodies with masses $\"\"$ and $\"\"$ attract each other with a force $\"\"$ .

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Where $\"\"$ .

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Apply formula $\"\"$ .

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$\"\"$ .

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Find the work required to propel a $\"\"$ space vehicle out of earths gravitational field.

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$\"\"$

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Here $\"\"$ is the mass of the earth, $\"\"$ is mass of the space vehicle, $\"\"$ $\"\"$ is the radius of earth and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The work required to propel a $\"\"$ space vehicle out of earths gravitational field is $\"\"$ . $\"\"$

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The work required to propel a $\"\"$ space vehicle out of earths gravitational field is $\"\"$ .