Respuesta :
Answer:
the weight of the crown is very close to the weight of brass, so the crown is made of brass with a very small part of gold.
Explanation:
Let's apply Archimedes' principle to this situation, in this principle he says: the thrust (B) is equal to the weight of the liquid dislodged.
Let's analyze the weight of the crown in the air has a weight of 25.0 N, when we submerge it in water the weight (F = 22.5 N) is reduced due to the thrust of the liquid, we can look for the thrust
F = W -B
B = W -F
B = 25.0 -22.5
B = 2.5 N
It is the weight of the water dislodged, using the concepts of density
d = m / v
B = (dw Vw) g
dw = 1000 kg / m3 water
Vw = B / dw g
Vw = 2.5 / 1000 9.8
Vw = 2.55 10⁻⁴ m3
As the crown is submerged this volume is also the volume of the crown, so we can calculate the weight of the crown for the two given materials
Gold
W gold = dgold V g
W gold = 19300 2.55 10⁻⁴ 9.8
W gols = 48.2 N
Brass
W brass = dbrass V g
W brass = 8700 2.55 10-4 9.8
Wbrass = 21.7 N
As we can see the weight of the crown is very close to the weight of brass, so the crown is made of brass with a very small part of gold.
