The aluminum object weighs 500 grams. How much does it weigh in air and acetone?

| September 18, 2021 | education

m = 500 g = 0.5 kg.
ρacet = 791 kg / m ^ 3.
ρal = 2712 kg / m ^ 3.
g = 9.8 m / s ^ 2.
R – ?
Racet -?
Body weight in air P is determined by the formula: P = m * g.
P = 0.5 kg * 9.8 m / s ^ 2 = 4.9 N.
The body weight in acetone will be determined by the formula: Racet = P – Farch.
The buoyancy force of Archimedes is determined by the formula: Farch = ρacet * g * V. Where ρacet is the density of the liquid in which the body is immersed, g is the acceleration of gravity, V is the volume of the immersed part of the body in the liquid.
V = m / ρal.
Farch = ρacet * g * V = ρacet * g * m / ρal.
Farch = 791 kg / m ^ 3 * 9.8 m / s ^ 2 * 0.5 kg / 2712 kg / m ^ 3 = 1.43 N.
Racet = 4.9 N – 1.43 H = 3.47 N.
Answer: body weight in air P = 4.9 N, body weight in acetone Race = 3.47 N.



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