How much weight can a 15 m³ balloon filled with hydrogen be able to lift?
How much weight can a 15 m³ balloon filled with hydrogen be able to lift? Density of hydrogen – 0.09kg / m³, air – 1.29kg / m³
V = 15 m3.
g = 9.8 m / s2.
ρw = 0.09 kg / m3.
ρ = 1.29 kg / m3.
The ball, which is filled with hydrogen, is acted upon by 2 forces: the force of gravity m * g, directed vertically downward, and the buoyancy force of Archimedes Farch, directed vertically upward.
P = Farch – m * g.
m = V * ρv.
The buoyancy force of Archimedes Farch is determined by the formula: Farch = ρ * g * V. Where ρ is the density of the gas in which the body is immersed, g is the acceleration of gravity, V is the volume of the submerged part of the body.
P = ρ * g * V – V * ρw * g = (ρ – ρw) V * g.
P = (1.29 kg / m3 – 0.09 kg / m3) * 15 m3 * 9.8 m / s2 = 176.4 N.
P = mg * g.
mg = P / g.
mg = 176.4 N / 9.8 m / s2 = 18 kg.
Answer: a ball can lift a body with a weight of P = 176.4 N or a mass of mg = 18 kg.