A hot$-$air balloon is accelerating upward. For simplicity, ignore the weights of the balloon fabric and the basket. The hot air inside the balloon has a density of ${}_{\text{h}\text{o}\text{t}\text{a}\text{i}\text{r}}=0\mathrm{.}93k\frac{g}{m^3},$ and the density of the cool air outside is ${}_{\text{c}\text{o}\text{o}\text{l}\text{a}\text{i}\text{r}}=1\mathrm{.}29k\frac{g}{m^3}.($a$)$ Draw the free$-$body diagram showing the forces that act on the balloon. $($b$)$ What is the acceleration of the rising balloon?

Step $1$

Draw the free$-$body diagram showing the forces that act on the balloon.

Use the checkboxes to select the correct vectors as instructed above. Move the vectors to the correct starting points and orient them in the correct direction as instructed.

$F_B$

T

$F_N$

$$ Draw free$-$body diagram here

Key to Force Labels

$mg=$ Gravitational force

$T=$ Tension

$F_N=$ Normal force

$F_B=$ Buoyant force

$f_k=$ Kinetic friction force

$f_s=$ Static friction force