A balloon made up of a fabric weighing 80 N has a volume of 1.0 × 10⁷ cm. the balloon is filled with hydrogen of...

A balloon made up of a fabric weighing 80 N has a volume of 1.0 × 10⁷ cm. the balloon is filled with hydrogen of density 0.9 kgm^-3. Calculate the greatest weight in addition to that of the hydrogen and the fabric, which the balloon can carry in air of average density 1.25 kgm^-3

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Upthrust = weight of the air displaced
= volume of air × density × gravity
= (1.0 × 10⁷ × 10⁶) × (1.25 × 10)
= 10 × 1.25 × 10 = 125 N
Weight of hydrogen = 10 × 0.09 × 10 = 9 N
Total weight of hydrogen and fabric = 80 + 9 = 89 N
Total additional weight to be lifted = 125 – 89 = 36 N.

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Mutiso answered the question on October 16, 2018 at 07:17

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