A consumer upset with the latest trend of postal rate increases has decided to t

Question

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 66400 cm3 gas-filled balloon will provide enough lift for a 41.7 g package to be accelerated upward at a rate of 3.10 m/s2. For these circumstances, calculate 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 ?air = 1.16 kg/m3. Neglect the mass of the balloon material and the volume of the package.

Explanation / Answer

(ro V + m) (a+g) = 1.16* V * g (ro 66400e-6 + 41.7e-3) (3.10+9.81) = 1.16* 66400e-6 * 9.81 (ro 66400e-6 + 41.7e-3) = 0.05853 ro = 0.253 Kg/m3

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