Question

An empty meteorological balloon weighs 80 N. It is filled with 10 cubic metres of hydrogen. How much maximum contents the balloon can lift besides its own weight? The density of hydrogen is 0.09 kgm and the density of air is 1.3 kgm. -3​

Answer 1

Weight of the balloon (w) = 80 N

Volume of hydrogen (v) = 10 m³

Density of hydrogen (ρ₁) = 0.09 kg/m³

Weight of hydrogen (w₁) = ρ₁ × v × g

                                        = 0.09 × 10 × 10

                                        = 9 N

Density of air (ρ₂) = 1.3 kg/m³

Weight of content (w₂) = ?

Up thrust (F) = Weight of air displaced

                  F = ρ₂ × v × g

                     = 1.3 × 10 × 10

                     = 130 N

Total weight lifted = w + w₁ + w₂

                              ⇒ 80 N + 9N + w₂ = 130 N

                              ⇒ w₂ = 130 N - 89 N

                              ⇒ w₂ = 41 N

Thus, the maximum weight of 41 N can be lifted by the balloon in addition to its own weight.

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Answer 2

Answer:

41N

The balloon can raise a weight limit of 41 N in additional to its own weight.

Explanation:

a balloon used to lift equipment into the air to collect data on the weather in the atmosphere. Helium and hydrogen are the 2 gasses that are most ideal for meteorological balloon.

given data,

The balloon's weight $(w) = 80 N$

Quantity of hydrogen $(v) = 10 m^{3}$

hydrogen's density $(\rho_{1} ) = 0.09 kg/m^{3}$

hydrogen's mass $(w_{1} ) = \rho_{1} \times v \times g$

                                     $= 0.09 \times 10 \times 10$

                                     $= 9 N$

air Density $(\rho_{2} ) = 1.3 kg/m^{3}$

Thickness of the content $(w_{2} ) = ?$

weight of the expelled air = Up thrust (F)

$F = \rho_{2} \times v \times g$

   $=1.3\times10\times10$

   $= 130 N$

overall weight raised $= w + w_{1} + w_{2}$

                                   $= 80 N + 9N + w_{2}$

                                   $= 130 N$

find $w_{2}$

weight of the expelled air$(130N)$ - weight of balloon and hydrogen$(80N+9N)$

   $w_{2} = 41 N$

Therefore, the balloon can raise a weight limit of $41 N$ in additional to its own weight.

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