Answer:
[tex]-5.00\times 10^{12}\ \text{J}[/tex]
Explanation:
m = Mass of satellite = 175000 kg
h = Distance above Earth = 600 km
R = Radius of Earth = 6371 km
M = Mass of Earth = [tex]5.972\times 10^{24}\ \text{kg}[/tex]
G = Gravitational constant = [tex]6.674\times 10^{-11}\ \text{Nm}^2/\text{kg}^2[/tex]
Total energy is given by
[tex]E=-\dfrac{GMm}{2(R+h)}\\\Rightarrow E=-\dfrac{6.674\times 10^{-11}\times 5.972\times 10^{24}\times 175000}{2(6371+600)\times 10^3}\\\Rightarrow E=-5.00\times 10^{12}\ \text{J}[/tex]
The total energy of the satellite is [tex]-5.00\times 10^{12}\ \text{J}[/tex].
