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 destinations. A 79200 cm gas-filled balloon will provide enough lift for a 45.1 g package to be accelerated upward at a rate of 2.80 m/s. 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 Pair - 1.16 kg/m. Neglect the mass of the balloon material and the volume of the package. kg/m2

Answer 1

ma Volume : V 79200 cm v. 79200 x 106m? bollen massa male 45g. 4501710"rg ay : 2.80 mly? (typ.900d) g=9.81 mlj Saix = f = 116 kg /m2 face in ballon Fyr Pgr - and forme e asting on bellom 50 may t mga @= @ PgV = may tung Pgv = m (9y+g) 1416X9.81 x 79200 Xlo Massot (ballon + air) am aytg 2.80 +9.81 mĚ 00067775 kg ir) → m 2 67.775 x163 kg. - mas of air in ballon maam-mb ma=(67.7754763)-(45.14163) ma = 92.675 X63 kg mass Density Iges = voleeme 22.675 x103 Igos = 79800x106 E Sges = 0.2863 ] kg / m3