Question

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

Answer 1

Following are the solution to the given points:

Step-by-step 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
`\rho_(air) =1.29 (kg)/(m^3)\\\\`

Density of helium
`\rho_(helium) =0.178 (kg)/(m^3) \\\\`

The volume of the helium balloon
`V= 2L`

`\to V= 2 * 10^(-3)`

Formula:

`F_B = e_a V g\\\\`

`= 1.29 * 2 * 10^(-3) * 9.81\\\\ = 0.0253098 \ N`

where g is the acceleration due to gravity

In point b:

`m_g= 1.5 \ g`

Formula:

`F_(net)=F_B - (m_r + \rho_h \ v )g`

`= 0.0253098 - (1.5 * 10^(-3) + 0.178 * 2 * 10^(-3) * 9.81)\\\\= 7.10244 * 10^(-3) \ N`