5-25 A dropped piece of paper that has not been crumpled quickly reaches its ter

Question

5-25 A dropped piece of paper that has not been crumpled quickly reaches its terminal velocity. A crumpled piece of paper continues to accel- erate until it hits the floor. Given: A piece of paper has a mass of 1.8 g. When dropped broad side down to the floor, it quickly reaches a constant velocity. When it is crumpled, it falls at a rate of 8.2 m/s2. Find: (a) What is the force of air friction on the paper after it reaches a constant velocity? (b) What is the force of air friction on the crumpled paper?

Explanation / Answer

a)

F=ma

at constant velocity, acceleration is 0

Fair - W = 0

Fair = W

= mg = 0.0018 x 9.8

= 0.01764 N

b)

F = ma

Fair - mg = ma

Fair = 0.01764 + 0.0018 (-8.2)

= 0.00288N

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