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## Homework Statement

a satellite having a mass of 1800 kg orbits the earth at a distance of 6.3 x 10^5 m above the surface find the gravitational potential energy of the satellite while in orbit, the orbital speed and the binding satellite.

## The Attempt at a Solution

gravitational potential energy

Eg = -GMm/Ro

Eg = -(6.67x10^-11 Nm^2/kg^2)(5.98x10^24kg)(1800kg)/(6.37x10^6m)+(6.3x10^5m)

Eg = -1.03 x 10^11 J

the orbital speed

Ek = 1/2(GMm/Ro)

Ek = 0.5 x -1.03 x 10^11 J

Ek = 5.128277145 x 10^10 J

Ek = 1/2mv^2

V = 7548.57 m/s

binding satellite

Eb = 1/2(GMm/Ro)

Eb = 0.5 x -1.03 x 10^11 J

Eb = 5.128277145 x 10^10 J