Answer 1:
No, for the reason of friction: not only is
there rock and whatnot in the way, but any track
that you would be running along will lose energy
due to friction and turn it into heat, thus
stranding you inside of the Earth. It's the same
reason why if you have a U-shaped structure and
you roll a ball down one side of the U, it will
not make it as high on the other side. Friction
scales with distance traveled, so most of your
energy will be lost due to friction.
If there were no friction, it would take a
trivial amount of fuel to travel across the
Earth's surface - you would need the energy to
accelerate to speed, and then the energy to
decelerate to a stop. For a car, say, this would
be the amount of fuel you would burn in about a
minute of travel time (if that).
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