According to legend the following challenge led Archimedes to the discovery of h

Question

According to legend the following challenge led Archimedes to the discovery of his famous principle Hieron. king of Syracuse, was suspicious that a new crown that he had received from the royal goldsmith was not pure gold as claimed Archimedes was ordered to determine whethey crown was in fact Take the density of the crown to be p_c What is the ratio of the crown's apparent weight (In water) W_apparent to its actual weight W_actual? Express your answer in terms of the density of the crown p_c and the density p_ This equation will be shownwhat you complete question(s)

Explanation / Answer

Wapparent = Wactual - Fb

=> Wapparent / Wactual = 1 - Fb/Wactual = 1 - [(Vwg) / (Vcg)] = 1 - w/c

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