Astronomy 201 

Homework SEVEN

This problem set depends on material you can find in here .
  1. Calculate the escape velocity from the surface of Mars.
  2. What would be the Schwarzchild Radius for an object with the same mass as the sun (i.e., if you could shrink the sun, at what point would it become a black hole)?
  3. If the sun were suddenly and instantly turned into a black hole, what would happen to the Earth?
  4. What is the average velocity of an oxygen molecule in Earth's atmosphere, on a nice spring day in Nashville?
  5. Assume the sun is surrounded by a cloud of molecular hydrogen gas and that the just formed Earth orbits the sun at 1 AU in this cloud. Within what temperature range would the average hydrogen molecule have to be in order for the Earth to capture it into an atmosphere?