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college physics

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If I travel to Mexico and buy a 55g gold braclet for 20 dollars and take the braclet and submerge it in water starting out with 50cc and after it is submerged in the water it is 52.8cc. What is the buoyant force on the braclet? I also need to know if the braclet is real gold. The density of gold is 19.3g/cc. Please help me with a step by step formula for these questions with the answers.

  • college physics - ,

    Archimedes's principle states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces.
    In this case. 2.8 cc of water is displaced and its weight 2.8 g. Hence the net buoyant force = 2.8 gf
    Now the density of the piece = 55/2.8 ~=19.64 g/cc which greater than the given density of gold. Hence we conclude that the piece is not genuine. May contain traces of iridium which is heavier than gold and costs about 15 to 20% less than gold.

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