Question

A) You, Archimedes, suspect that the king’s crown is not solid gold but is instead gold-plated lead. To test your theory, you weigh the crown, and find it to weigh 60.0 N, and to have an apparent weight of 55.2 N when it is completely submerged in water. Take the density of gold to be 19300 kg/m, the density of lead to be 11340 kg/m, and the density of water to be 1000 kg/m. Also, use g = 9.80 m/s.
What is the average density of the crown?
_______ kg/m

B) You, Archimedes, suspect that the king’s crown is not solid gold but is instead gold-plated lead. To test your theory, you weigh the crown, and find it to weigh 60.0 N, and to have an apparent weight of 55.2 N when it is completely submerged in water. Take the density of gold to be 19300 kg/m, the density of lead to be 11340 kg/m, and the density of water to be 1000 kg/m. Also, use g = 9.80 m/s.
What percentage (by weight) of this crown is made of gold? The rest, by the way, is lead.

Answer 1