Newton's Law of Gravitation states that two bodies with masses M and N attract each other with a force MN F = G p2 where r is the distance between the bodies and G is the gravitational constant. Assume that Earth's mass is 5.98 x 1024 kg and is concentrated at its center. Moreover, take the radius of the Earth to be 6.37 x 10 m and G = 6.67 x 10-"N m2/kg. With this information, find the work required to propel a 1000-kg satellite out of Earth's gravitational field. Work =

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Newton's Law of Gravitation states that two bodies with masses M and N attract each other with a force
MN
F = G=
where r is the distance between the bodies and G is the gravitational constant.
Assume that Earth's mass is 5.98 × 1024 kg and is concentrated at its center. Moreover, take the radius of the Earth to be
6.37 x 10° m and G = 6.67 x 10-1" N · m²/kg. With this information, find the work required to propel a 1000-kg satellite
out of Earth's gravitational field.
Work =
Transcribed Image Text:Newton's Law of Gravitation states that two bodies with masses M and N attract each other with a force MN F = G= where r is the distance between the bodies and G is the gravitational constant. Assume that Earth's mass is 5.98 × 1024 kg and is concentrated at its center. Moreover, take the radius of the Earth to be 6.37 x 10° m and G = 6.67 x 10-1" N · m²/kg. With this information, find the work required to propel a 1000-kg satellite out of Earth's gravitational field. Work =
Expert Solution
Step 1

Let the satellite be at a distance 'r' from the surface of the earth.

Force on satellite = GMmr2

Work required 

                      W=F r = FMmr2×r=FMmr

 

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