You drop a single coffee filter of mass 1.3 grams from a very tall building, and

Question

You drop a single coffee filter of mass 1.3 grams from a very tall building, and it takes 54 seconds to reach the ground. In a small fraction of that time the coffee filter reached terminal speed. (a) What was the upward force of the air resistance while the coffee filter was falling at terminal speed?

Fair =____ N

(b) Next you drop a stack of 4 of these coffee filters. What was the upward force of the air resistance while this stack of coffee filter was falling at terminal speed?

Fair =_____ N

(c) Again assuming again that the stack reaches terminal speed very quickly, about how long will the stack of coffee filters take to hit the ground? (Hint: Consider the relation between speed and the force of air resistance.)

Fall time is approximately _____ s

Explanation / Answer

a )

Fair = m g

= 1.3 X 10-3 X 9.8

Fair = 0.01274 N

b )

Fair = m g

Fair = 4 X 1.3 X 10-3 X 9.8

Fair = 0.05096 N

c )

Fdrag = - 1/2 v2

one coffee filter is 0.01274 N = - 1/2 v2

and 4 times filters 0.05096 N = - 1/2 v2

so it hit in 25 sec

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