An average-sized cat of 5.0 kg falls with a terminal velocity of approximately 28 m/s. What is the value of the proportionality constant D for the cat? (Express your answer in kilograms per meter.)
In this example, we are going to take a look at a different type of friction, one that is not described by equations for static-
FD=Dv2,
where D is a proportionality constant that depends on the shape and size of the object and the density of air.
When an object falls vertically through air, the drag force opposing the object's motion increases and the downward acceleration decreases. Eventually, the object reaches a terminal velocity: Its acceleration approaches zero and the velocity becomes nearly constant. Derive an expression for the terminal-velocity magnitude vT in terms of D and the weight mg of the object.
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An average-sized cat of 5.0 kg falls with a terminal velocity of approximately 28 m/s. What is the value of the proportionality constant D for the cat? (Express your answer in kilograms per meter.)
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