A hot-air balloon of total mass 480 kg floats at 100 m. Its buoyant volume V is constant. After N sandbags of 1 kg each are dropped it floats at 150 m. Air density varies as ρ(h)=ρ₀ exp(−h/h₀), with ρ₀=1.25 kg m⁻³ and h₀=6000 m. Find N.
Physics · Fluid Mechanics
A hot-air balloon of total mass 480 kg floats at 100 m. Its buoyant volume V is constant. After N sandbags of 1 kg each are dropped it floats at 150 m. Air density varies as ρ(h)=ρ₀ exp(-h/h₀), with ρ₀=1.25 kg m⁻³ and h₀=6000 m. Find N.