Answer:
No. The crown is made of lead
Explanation:
From Archimedes principle,
D/D' = W/U
Where D = density of the crown, D' = Density of water, W = weight of the crown in air, U = Upthrust of the crown in water.
make D the subject of the equation,
D = D'(W/U)................... Equation 1
W = mg
Where g = 9.8 m/s², m = 14.7 kg.
W = 14.7(9.8) = 144.06 N.
U = 9.8(14.7-13.4) = 12.74 N.
Constant: D' = 1000 kg/m³
Substitute into equation 1
D = 1000(144.06/12.74)
D = 11307.69 kg/m³
Density of the crown = 11307.69 kg/m³
And Density of Gold = 19300 kg/m³
From the above, The crown is not made of Gold
