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Big-Daddy
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Homework Statement
A creature of mass [itex]m[/itex] and bottom surface area of [itex]A[/itex] is dropped from a height [itex]h[/itex] towards the ground. The creature dies if a force of [itex]F_K[/itex] or greater acts on it. What is the value range of acceleration due to gravity, [itex]g[/itex], for such creature to survive the fall?
Homework Equations
Surely the problem requires air resistance since mass and surface area are mentioned. I think this can be modeled as [itex]F_D=-k \cdot v[/itex] unless anyone has any better ideas?
The Attempt at a Solution
The question is what else to do - we'll need a differential equation, then to solve it for [itex]g[/itex] in terms of [itex]F_K[/itex], [itex]h[/itex], [itex]m[/itex] and [itex]A[/itex] (probably work out the terminal velocity first and then relate it to [itex]F_K[/itex] and [itex]g[/itex])? I hope we can assume that height [itex]h[/itex] is sufficient that terminal velocity will be reached. If not, we might have to use something more fundamental.