Question 14 of 14 Mop Sapling Learning A consumer upset with the latest trend of

Question

Question 14 of 14 Mop Sapling Learning A consumer upset with the latest trend of postal rate increases has decided to try to send letters by balloon even though they may not reach their intended destination. A 72800 cm gas-filled balloon will provide enough lift for a 46.8 g package to be accelerated upward at a rate of 3.25 m/s? For these circumstances, e the density of the gas the consumer fills the balloon with. The acceleration due to gravity is g = 9.81 m/s2 and the density of air is Poi = 1.16 kg/m2 Neglect the mass of the balloon material and the volume of the package. Number kg/m cm Amm nt about

Explanation / Answer

mass of gass, m = (72800 x 10^-6 m^3)(rho)

buoyant force, Fb = weight of air displaced

Fb = (72800 x 10^-6) (1.16) (9.81) = 0.82843 N

Applying Fnet = m a

Fb - mg - M g = (m + M)a

0.82843 - 9.81m - (0.0468 x 9.81) = 3.25 m + 3.25 x 0.0468

m = 0.01663 kg = (72800 x 10^-6 m^3)(rho)

rho = 0.228 kg / m^3

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