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Calculate the buoyant force on a 2.00-L helium balloon. (b) Given the mass of the rubber in the balloon is 1.50 g, what is the net vertical force on the balloon if it is let go

Respuesta :

Answer:

Following are the solution to the given points:

Explanation:

In this question, some of the values are missing, that's why its solution can be defined as follows:

In point a:

Density of air [tex]\rho_{air} =1.29 \frac{kg}{m^3}\\\\[/tex]  

Density of helium [tex]\rho_{helium} =0.178 \frac{kg}{m^3} \\\\[/tex]

The volume of the helium balloon [tex]V= 2L[/tex]

[tex]\to V= 2 \times 10^{-3}[/tex]

Formula:

[tex]F_B = e_a V g\\\\[/tex]

[tex]= 1.29 \times 2 \times 10^{-3} \times 9.81\\\\ = 0.0253098 \ N[/tex]

where g is the acceleration due to gravity

In point b:

[tex]m_g= 1.5 \ g[/tex]

Formula:

[tex]F_{net}=F_B - (m_r + \rho_h \ v )g[/tex]

       [tex]= 0.0253098 - (1.5 \times 10^{-3} + 0.178 \times 2 \times 10^{-3} \times 9.81)\\\\= 7.10244 \times 10^{-3} \ N[/tex]

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