Question

. A small statue in the shape of a falcon has a weight of 24.1 N. The owner of the statue claims it is made of solid gold.When the statue is completely submerged in a container brimful of water, the weight of the water that spills over the top and into a bucket is 1.25 N. Find the density and specific gravity of the metal. Is the density consistent with the claim that the falcon is solid gold? Note: ρAu = 1.93 x 104 kg/m3.

Answer 1

Th volume of the falcon is the volume of 1.25 N weight of displaced water, which is
1.25 N/[g*10^3 kg/m^3) = 1.274*10^-4 m^3

The mass of the falcon is
(weight)/g = 24.1/9.81 = 2.457 kg

The density of the falcon is
(mass)/volume) = 19,280 kg/m^3

So, yes, it is gold.