15cm3 block of gold weighs  2.8N it is carefully submerged in a tank of mercury. one cm3 of mercury weight 0.!3n a will the mercury be displaced by the gold?

You have said that 15cm³ of gold weighs 2.8N.  So I may infer that each cm³of gold weighs about 0.19N.  When I compare that figure with the 0.13N per cm³of mercury, it becomes immediately apparent that the gold is more dense thanmercury. Therefore, the sample of gold, no matter what its size or weight, willdisplace its total volume of mercury, and will go on to sink entirely beneath the waves in the mercury.