Please answer both questions and provide the correct final units as well. Thanks

Question

Please answer both questions and provide the correct final units as well. Thanks!

1. What is the approximate mass of air in a living room 5.60m*3.55m*2.80m? The density of air is 1.29 kg per cubic meter.

2. A spherically shaped balloon has a radius of 8.86m, and is filled with helium. How large a mass of cargo can it lift, assuming that the skin and structure of the balloon have a mass of 836kg? Neglect the bouyant force on the cargo volume itself. The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3.

Explanation / Answer

1.

Mass = density*Volume

Mass = 1.29 kg/m^3*(5.6*3.55*2.8 m^3)

Mass = 71.81 kg

2.

Fb = buoyant force

Fb = Wc + Wb + Wh

Wb = weight of balloon

Wh = weight of helium

Wc = Fb - Wb - Wh

Fb = density of air*Volume*g

Wh = density of Helium*Volume*g

Wb = mass*g

So,

Wc = (1.29 - 0.179)*(4/3)*pi*8.86^3*9.81 - 836*9.81

Wc = 23551 kg

mass of cargo = 23551/9.81 = 2400.71 kg

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