What is the ratio between the depths they will sink into the ice?

[s_avraanips]

q.if two copper vessels of mass 20g and 50g are heated to 85 degrees celsius and are put onto similar ice blocks, what is the ratio between the depths they will sink into the ice?

 

[nazgjunk]

Some more information would be rather helpful here. For instance, I would think the area where ice and copper touch are probably different: different weight+same material -> different size.

 

[Chi Meson]

Assuming that the bases of the copper vessels were the same size, consider: which of these vessels would take longer to cool to 0 degrees (the assumed temperature of the ice)?

THen answer the following question: "why"? (Using conservation of energy as your guide).