- #1

HCD

- 9

- 1

## Homework Statement

Problem statement in attached file.

## Homework Equations

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Drag force as a function of velocity for a body immersed in a fluid:

$$ \boldsymbol{F}_D = \frac{1}{2} \rho \boldsymbol{v}^2 C_D A, $$

where ## \boldsymbol{F}_D ## is the drag force, ## \rho ## is the density of the fluid, ## \boldsymbol{v} ## is the speed of the object relative to the fluid, ## C_D ## is the cross sectional area of the body and ## A ## is the drag coefficient.

## The Attempt at a Solution

I'm trying to model the forces acting on the foam after it came loose from the shuttle. From the problem statement I'm assuming that the forces that should be considered are gravity, the drag force and whatever force is accelerating the foam in the air flow. That is

$$ \boldsymbol{F} = m \boldsymbol{g} + m \boldsymbol{a}_A - \frac{1}{2} \rho \boldsymbol{v}^2 C_D A, $$

but I'm not sure how to model the acceleration due to the air flow. I'm guessing that it has something to do with the velocity of the shuttle?