a) What is the velocity of the satellite Vo while it is in orbit?

Vo^2*(r+h) = M*G

Vo = 3.03*10^24*6.674*10^-11/(7.87*10^6) = 5,069 m/s

b) How long t does it take the satellite to orbit the planet once, in minutes?

t = 7.87*10^6*2PI /(5,069*60) = 162.6 minutes

c) What is the kinetic energy KE of the satellite?

KE = m/2*Vo^2 = 2185*2.570*10^7 = 5.614*10^10 J

d) What is the potential energy GPEo of the orbiting satellite?

GPEo = -m*M*G/(r+h) 

GPEo = -4.37*10^3*3.03*10^24*6.674*10^-11/(7.87*10^6) = -1.123*10^13 J

e) What is the total mechanical energy ME of the satellite?

Me = GPEo+KE = 5.614*10^10 -1123*10^10 = -1117*10^10 = -1.117*10^13 J 

assuming that is 3.03x10^24 kg and that the spacecraft is the satellite.

The radius of the orbit is 7500 + 370 = 3870 km.

V = √(GM/R) = √(6.673e-11•3.03e24/3870e3)

V = 7228 m/s

KE = ½mV² = ½(4370)(7228)² = 1.142e11 J

total energy

E = GmM / (2h) = (6.673e-11)(4370)(3.03e24) / (2•3870e3)

PE is the difference.

Satellite motion, circular

V = √(GM/R)T = 2π√[R³/GM]  T is period of satellite in sec  V = velocity in m/s

  G = 6.673e-11 Nm²/kg²

  M is mass of central body in kg

  R is radius of orbit in m