1. Derive an equation for specific gravity in terms of the dry sample weight and the apparently lighter submerged weight (which is the real weight minus the buoyant force). You will use no other quantities in the equation. Calculate the specific gravity of each sample. 2. Calculate the density of each sample using Eq. 2. Calculate the specific gravity of each sample from Eq.4 and the percent deviation between this value and the first. Is this value consistent with the total relative error ( expressed as a percent)? Explain. 3. How might you measure the specific gravity of a substance that is less dense than water (without using a different fluid)? 4. If Archimedes used his principle to verify the purity of a block of silver, would the method be foolproof? Explain your answer.