Q

What minimum energy is required to launch a satellite of mass m from Earth's surface into a circular orbit at altitude 2R, where Earth's radius is R?

RRB Group-D 02/11/2018 / Shift II 2018
✓ Answer: D 5mgR/6
Initial energy is -GMm/R and final orbital energy is -GMm/(6R). The increase is 5GMm/(6R) = 5mgR/6, neglecting Earth's rotation and losses.
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