I believe you have a fundamental misunderstanding of the speed of the top of a space elevator. The counterweight at the top of a space elevator would be approxi

I believe you have a fundamental misunderstanding of the speed of the top of a space elevator. The counterweight at the top of a space elevator would be approximately at geostationary orbit. If you were to be up there and "drop" a baseball, say, it would appear to hang there motionless, as it would also be (approximately) at geostationary orbit.