ARCHIMEDES and EUREKA Why ships float on water when in fact they should sink? Why does paper float on water and a paperweight sink? Archimedes, the Greek inventor and mathematician, accidentally discovered 2200 years ago the answer to these questions People believe that King Heiro II (a friend of Archimedes) ordered a new crown of solid gold For whatever reason, the king began to suspect the goldsmith forged the crown of adding silver to cut costs The king asked Archimedes for help Archimedes went for one last thinking to see if he could resolve the problem once and for all He went to the Syracuse public bath house (which were common in ancient times) with the problem in his head while was having a bath Archimedes filled the tub with water, and let his naked body slowly into water He noticed water was spilling over the sides In a flash, Archimedes realised the relation between the water that fell out and the weight of his body - in other words he discovered why some objects float and some sink! Archimedes was so excited with his discovery that he hopped out of the bath, and rushed naked into the street while he was yelling 'Eureka!' 'Eureka!' (Greek word for 'I have found it!) Archimedes returned to his place, filled a bowl with water and placed it in a larger bowl Then he gently let down the crown, and as expected, some water spilled out Archimedes quickly measured the volume of displaced (=odmaknjena) water and calculated the density When compared to the known density of an equal amount of gold, he noticed that the crown was less dense than the gold This led him to believe that the goldsmith cheated the king Archimedes discovery, now popular as the Archimedes' principle, explains why steel ships, weighing thousands of tons, float But what is Archimedes' principle? When a body is immersed in water, it experiences a force (the buoyancy force) This force is equal to the weight of the water displaced by the body For instance, a lump of steel will sink for it is unable to displace water that equals its weight But steel of the same weight but shaped as a bowl, will float This is because the weight distributes over a larger area and the steel displaces water equal to its weight So a heavily laden (=natovorjena) ship floats because its total weight is exactly equal to the weight of the water it displaces ARCHIMEDES and EUREKA Why _ ships (float) on water when in fact they should sink? Why _ paper _ (float) on water and a paperweight sink? Archimedes, the Greek inventor and mathematician, accidentally _ (discover) 2200 years ago the answer to these questions People believe that King Heiro II (a friend of Archimedes) _ (order) a new crown of solid gold For whatever reason, the king (begin) to suspect the goldsmith _ (forge) the crown of adding silver The king (ask) Archimedes for help Archimedes _ (go) for one last thinking to see if he _ (can) resolve the problem once and for all He _ (go) to the Syracuse public bath house (which were common in ancient times) with the problem in his head while _ (have) a bath Archimedes (fill) the tub with water, and _ (let) his naked body slowly into water He (notice) water (spill) over the sides In a flash, Archimedes (realise) the relation between the water that (fall out) and the weight of his body - in other words he (discover) why some objects (float) and some (sink)! Archimedes _ (be) so excited with his discovery that he _ (hop) out of the bath, and (rush) naked into the street while he (yell) 'Eureka!' 'Eureka!' (Greek: for 'I have found it!) Archimedes (return) to his place, _ (fill) a bowl with water and _ (place) it in a larger bowl Then he gently _ (let) down the crown, and as (expect), some water (spill out) Archimedes quickly (measure) the volume of displaced (=odmaknjena) water and (calculate) the density When _ (compare) to the known density of an equal amount of gold, he _ (notice) that the crown _ (be) less dense than the gold This _ (lead) him to believe that the goldsmith (cheat) the king Archimedes discovery, now popular as the Archimedes' principle, _ (explain) why steel ships, weighing thousands of tons, (float) But what (be) Archimedes' principle? When a body (be) immersed in water, it _ (experience) a force (the buoyancy force) This force (be) equal to the weight of the water displaced by the body For instance, a lump of steel will sink for it _ (be) unable to displace water that _ (equal) its weight But steel of the same weight but shaped as a bowl, will float This (be) because the weight (distribute) over a larger area and the steel (displace) water equal to its weight So a heavily laden (=natovorjena) ship _ (float) because its total weight is exactly equal to the weight of the water it displaces