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Consider a balloon filled with a lighter than air gas. The balloon is one cubic

ID: 2093321 • Letter: C

Question

Consider a balloon filled with a lighter than air gas. The balloon is one cubic meter and is releasead at sea level. The density of the gas is 1.0 kg/meter cubed and the density of air is 1.29 kg/meter cubed.

A. what is the weight of the balloon?

B. what is the buoyant force?

C. when the balloon is released, it will rise to a height H (in meters)

Air density varies by elevation by the follwing equation:

air density = 1.29 x e^-H/8500 where H is elevation in meters. air density is in kg/meter cubed

D. why does the balloon stop rising?

Explanation / Answer

1.weight of the balloon= 1*9.81*1= 9.81N

2.buoyant force = (1.29-1)*1*9.81 =2.84N

3. H=2164 m

4. at certain level density of ballon and air will be equal

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