In the question At what altitude above equator do gravitational and centrifugal forces cancel each other?At what altitude above equator do gravitational and centrifugal forces cancel each other?, I asked how high a tower on the equator has to be such that at its top, gravitational and centrifugal forces are the same magnitude (and opposite sign).
Now imagine that the tower is a little bit higher, and an object is released from the top of the tower. The object will float away and "climb" higher. Does the object move slower or faster around the world than the tower?
It would be nice if the answer was explained in terms of the conservation of energy.