NASA is planning to launch an unmanned satellite into a circular orbit
at an elevation of 650 km. Engineers need to know the work required to
launch the satellite into its orbit in the vertical direction.
What is known:
- Newton's Law of Gravitation states that two bodies with mass given
as m1and m2 attract each other with a force
FG = Gm1m2/r2
where r is the distance between the bodies ( from their centers)
and G is the gravitational constant, G = 6.6 7x 10-11 N-m2/kg2.
- The mass of the earth is 5.98 x 1024 kg and is assumed
to be concentrated at its center. The average radius of the earth is
6.37 x 106 m.
- The mass of the satellite is 173 kg and the satellite is launched
to an orbit 650 km above the surface of the earth.