physics A spherical balloon has a radius of 6.95 m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of air i

Question

physics A spherical balloon has a radius of 6.95 m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of air is 1.29 kg/m3. The skin and structure of the balloon has a mass of 930 kg . Neglect the buoyant force on the cargo volume itself. Determine the largest mass of cargo the balloon can lift.

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Philomena 7 months 2021-08-09T05:18:08+00:00 1 Answers 4 views 0

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    2021-08-09T05:19:32+00:00

    Answer:

    Explanation:

    volume of balloon

    = 4/3 π R³

    = 4/3 x 3.14 x 6.95³

    = 1405.47  m³

    uplift force

    = volume of balloon x density of air x 9.8

    = 1405.47 x 1.29 x 9.8

    = 1813.05 x 9.8  N  

    weight of helium gas

    = volume of balloon x density of helium x 9.8

    = 1405.47 x .179  x 9.8

    = 251.58 x 9.8 N

    Weight of other mass = 930 x 9.8 N

    Total weight acting downwards

    =  251.58 x 9.8 +930 x 9.8

    = 1181.58 x 9.8 N

    If W be extra weight the uplift can balance

    1181.58 x 9.8 + W x 9.8 = 1813.05 x 9.8

    1181.58  + W  = 1813.05

    W= 631.47 kg

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