A hot air balloon plus cargo has a mass of 291 kg and a volume of 813m 3 . The b

Question

A hot air balloon plus cargo has a mass of 291 kg and a volume of 813m3. The balloon is floating at a constant height of 6.25m above the ground. The density of the outside air may be assumedto be 1.29 kg/m3. What is the density of the hot air inthe balloon?

kg/m3
A hot air balloon plus cargo has a mass of 291 kg and a volume of 813m3. The balloon is floating at a constant height of 6.25m above the ground. The density of the outside air may be assumedto be 1.29 kg/m3. What is the density of the hot air inthe balloon?

kg/m3

Explanation / Answer

Let       Mass of the hot air = m       Mass of the Ballon +cargo = M     We have :               Fb = Mg + mg         air Vg = M g + hot air Vg    or hot air =   air   - M/V                     = 1.29 kg/m3 - (  291 kg / 813m3 )                    = 0.932 kg/m3   Hope this helps u!

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