Question

Describe the economic, political, social, and cultural problems faced by the new nations of Africa?

Answer 1

I am not sure what "new nations" you are considering.

Here are some sites which may prove helpful:
Sao Tome e Principe, Botswana, Zimbabwe

http://findarticles.com/p/articles/mi_m1310/is_1986_Oct/ai_4589209

http://www.africa.upenn.edu/Country_Specific/Sao_Tome.html
http://en.wikipedia.org/wiki/S%C3%A3o_Tom%C3%A9_and_Pr%C3%ADncipe

Botswana
http://www.infoplease.com/ipa/A0107353.html
http://www.africa.upenn.edu/Country_Specific/Botswana.html
http://news.bbc.co.uk/1/hi/world/africa/country_profiles/1068674.stm
http://en.wikipedia.org/wiki/Botswana

Zimbabwe
https://www.cia.gov/library/publications/the-world-factbook/geos/zi.html
http://news.bbc.co.uk/1/hi/world/africa/country_profiles/1064589.stm
http://en.wikipedia.org/wiki/Zimbabwe