Part A If the balloon is a sphere with a radius of 5.3 m , what is the maximum w

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Part A

If the balloon is a sphere with a radius of 5.3 m , what is the maximum weight it can lift?

Express your answer using two significant figures.

6.8

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A 3.5 kg balloon is filled with helium ( density = 0.179 kg/m3). You may want to review( pages 513 - 514) .

Part A

If the balloon is a sphere with a radius of 5.3 m , what is the maximum weight it can lift?

Express your answer using two significant figures.

6.8

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Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

Volume of the balloon is

V = 4r3/3

   = (4)()(5.3 m)3 / 3

   = 623.614 m3
The density of helium,helium = 0.179 kg/m3
The density of air, air = 1.29 kg/m3
The mass of the balloon, m = 3.5 kg
The air's weight equal to mg
   Wair = air V g
           = (1.29 kg/m3)(623.614m3)(9.8 m/s2)
           = 7883.735N

The weight of balloon including helium is
   Whelium = mg+helium V g         
              = (3.5kg)(9.8 m/s2) + (0.179 kg/m3)(623.614m3)(9.8 m/s2)
                = 1128.244 N
Therefore maximum weight it can lift is
      lift = Wair -Whelium
            = 7883.735 N - 1128.244 N
=6755.491 N

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