[#858] Energy per kilo (Part 1) Consider the mechanical energy of a body in geostationary orbit above the Earth's equator, at rGS​=42000 km. Consider the mechanical energy of the same body on Earth at the South pole, at re​=6400 km. For this problem, we consider the Earth to be spherical. (Remember, the object at the equator is in orbit, the object at the Pole is not in orbit.) G=6.67×10−11 Nm2kg−2, and the mass of the Earth is M=5.97×1024 kg What is the difference in the mechanical energy per kilogram between the two? E =E= ___ MJ.kg−1 (to two significant figures, don't use scientific notation)

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[#858] Energy per kilo (Part 1)

Consider the mechanical energy of a body in geostationary orbit above the Earth's equator, at rGS​=42000 km.

Consider the mechanical energy of the same body on Earth at the South pole, at re​=6400 km. For this problem, we consider the Earth to be spherical. (Remember, the object at the equator is in orbit, the object at the Pole is not in orbit.)

G=6.67×10−11 Nm2kg−2, and the mass of the Earth is M=5.97×1024 kg

What is the difference in the mechanical energy per kilogram between the two?

E =E= ___ MJ.kg−1 (to two significant figures, don't use scientific notation)

 

[#859] Energy per kilo (Part 2)

Consider the mechanical energy of a body at rest on the ground at the Earth's equator, at re​=6400 km

Consider the mechanical energy of the same body at rest on the ground at the South pole, at re​=6400 km. For this problem, we consider the Earth to be spherical.

(Remember, the object at the equator traces a circular path, the object at the Pole does not.)

G=6.67×10−11 Nm2kg−2, and the mass of the Earth is M=5.97×1024 kg

  1. How much more mechanical energy per kilogram does an object on the ground at the Equator than on the ground at the Pole?

  2. E =E= ___MJ.kg−1 . (2 sig figs, do not use scientific notation)

I've been trying to solve this for hours and I can't seem to get it right lol, pls help y'all

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