King Hieron II asked Archimedes to determine if the crown shown below is made of pure gold or not. Using the scale, the weight of the crown was measured to be 7.84 N in the air (a) and 6.84 N when it is fully submerged in water (b). Knowing that the density of gold is = 19.3 × 103 kg/m3, is the crown made of pure gold, or was it adulterated with a cheaper metal? Briefly explain why. (Note: Use g = 9.81 m/s2).

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