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En un recipiente con mercurio (13.6 gr/cm3) se sumerge completamente un cuerpo de 900 gramos de masa. AL medir su peso aparente este marca 2
Question
En un recipiente con mercurio (13.6 gr/cm3) se sumerge completamente un cuerpo de 900 gramos de masa. AL medir su peso aparente este marca 2.94 newton en el dinamómetro. Cual es la densidad del cuerpo (kg/m3)
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Physics
3 years
2021-09-05T07:42:31+00:00
2021-09-05T07:42:31+00:00 1 Answers
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Answers ( )
Answer:
ρ = 20.4 kg / m³
Explanation:
For this exercise we use Archimedes’ principle, the thrust on a submerged body is equal to the weight of the released liquid
B = ρ g V_liquid (1)
let’s write the equilibrium equation
F -W + B = 0
B = W -F
let’s calculate
B = 0.900 9.8 – 2.94
B = 5.88 N
From equation 1
V_{liquid} =
V_{liquid} =
V_{liquid} = 4.41176 10⁻⁵ m³
in this case it is indicated that the body is completely submerged
V_body = V_liquid = V
the definition of density is
ρ = m / V
ρ =
ρ = 2.04 10¹ kg / m³
ρ = 20.4 kg / m³