A balloon has volume of 1000 m3 - It is filled with hydrogen - - 0-09 g-L - If the density of air is 1-29 g-L - it can lift a total weight of

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Standard VIII

Physics

Law of Floatation

A balloon has...

Question

A balloon has volume of 1000 $m^{3}$ . It is filled with hydrogen ( $ρ$ = 0.09 g/L ) . If the density of air is 1.29 g/L , it can lift a total weight of

600 kg

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1200 kg

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300 kg

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1800 kg

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Solution

The correct option is B 1200 kg
Given,
$V_{b} = 1000 m^{3}$
$ρ_{h} = 0.09 g / L$
$ρ_{a} = 1.29 g / L$
$g = 10 m / s^{2}$
Upthrust force = total downward force
$V_{b} ρ_{a} h = m g + ρ_{h} V_{b} g$
$1000 \times 1.29 \times 10 = m g + 0.09 \times 1000 \times 10$
$1290 = m g + 90$
$m g = 1200 k g - w e i g h t$
The correct option is B.

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A balloon has volume of 1000 m3 . It is filled with hydrogen (ρ = 0.09 g/L ) . If the density of air is 1.29 g/L , it can lift a total weight of

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A balloon has volume of 1000 $m^{3}$ . It is filled with hydrogen ( $ρ$ = 0.09 g/L ) . If the density of air is 1.29 g/L , it can lift a total weight of