1. A. Calculate the centripetal acceleration someone on the equator would have if they were rotating on the Earth, assuming Earth has a radius of nearly 4000 miles (6.37 million meters) and the velocity due to rotation at the equator is just over 1000 mph (465 m/s). Compare that to the acceleration of gravity. (Show your work / math! B. Next compare the centripetal FORCE needed to rotate you at the equator to the gravitational force on you. Is there enough gravitational force to keep equatorial peoples from flying off the Earth? Is the necessary centripetal force a large enough fraction of the gravitational force that you think you would feel lighter at the equator? C. Compare your gravitational force at a location 6.37 million meters up a space elevator to the centripetal force necessary to keep you there on the elevator, assuming the Earth is 5.97* 10^24 kg. Might you actually feel lighter there? D. What about Earth's axial precession wobble? Consider the effect we just calculated of the rotation of the Earth. Now consider that this precession rotation is happening much, much, much slower. Would this motion of one rotation in 26000 years be noticeable? Just say no and tell me how interesting it was to ponder this) E. How fast must the Earth be travelling upwards, by now if it has been accelerating at 9.8 m/s2 for 7000 years? Compare this to the accepted speed limit for anything in the universe, the speed of light in a vacuum, at 3.0 * 10^8 m/s and decide whether it would be possible, under the commonly accepted laws of physics, for the Earth to have this speed