Once we have liftoff, we obviously can't just turn off the engines as the rocket would fall back to earth. It takes *a lot* of energy to get a rocket into orbit, and so there is a lot of work that needs to be done on the rocket by the exploding fuel to get it into orbit. What is the minimum energy **in Joules** does it take to get a payload of \(10^5\) kg from the surface of the earth into a circular orbit of period 1.5 hours?

The mass of the earth is \(6 \times 10^{24}\) kg. \(G_N=6.67 \times 10^{-11}~N m^2/kg^2\).

Neglect complicating factors like air resistance.

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