Can yall please help!!
1 answer:
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Answer:
ρ_c < ρ_gold the crown is not gold
Explanation:
For this exercise we use the translational equilibrium condition
∑ F = 0
in the air
T₁ - W = 0
T₁ = W
in water
T + B - W = 0
where T is the scale reading, B the liquid thrust and W the weight
B = W -T
B = 7.84 - 6.84
B = 1 N
thrust is
B = ρ g V_water
V_water =
V_water =
V_water = 1.02 10⁻⁴ m³
how the crown is totally submerged
V_c = V_water
V_c = 1.02 10⁻⁴ m³
now we can calculate the density of the crown
ρ_c = m_c / Vc
W = mg
m = W / g
we substitute
ρ_c =
ρ_c =
ρ_c = 0.784 10⁴ kg / m³
ρ_c = 7.84 10³ kg / m³
We can see that this density is less than the density of gold
ρ_c < ρ_gold
therefore the crown is not gold