IB Physics Why does a Satellite not Fall to the Earth?

A tutorial sheet on satellite orbits is given below.

  1. A satellite orbits the Earth in a circular path. Is the satellite "falling" towards the Earth?
  2. As a satellite orbits the Earth in a circular path does the Earth "fall" away from the satellite?
  3. Determine the orbital speed of a geostationary satellite.
  4. How far does a geostationary satellite "fall" towards the Earth in one second? How far does the Earth "fall" away from the satellite orbit in one second?