Why must private ownership of property be guaranteed before a free market economy will work?

Because the ownership of private property allows people to seek to maximize their utility. private ownership allows for the invisible hand of the market to act, as per Adam Smith. 

First of all you would die.   do not try this at home but back to the question.   there are six parts of the sun.   from the outside to the inside: corona, chromoshpere, photosphere, convective zone, radiative zone, and the core.   then use the dictionary or reliable sources such as wikipedia to find out what they do.   good luck.

Yes you can it varies per college