Testing My Work on Math Problem

[Jason03]

I am checking to see if my thought process is correct for the problem below along with my work.

http://i674.photobucket.com/albums/vv106/jason03_2009/probb.jpg

http://i674.photobucket.com/albums/vv106/jason03_2009/page111.jpg

http://i674.photobucket.com/albums/vv106/jason03_2009/page22.jpg

 

[PhanthomJay]

I didn't check all your numbers, but your approach looks good. The rope tension plus the bouyancy force must equal the weight. I don't know why the problem calls the 20.9 N tension force as "F_net". The net force on the crown is zero. 20.9 N is the applied force required to keep the obect from sinking.