Question

Three nested coffee filters fall, quickly reaching a terminal speed of ~ 1.7 m/s. If the air resistance force on a single falling coffee filter was F1, how large is the air resistance force on the three falling filters? 1) F1 2) 3*F1 3) (1/3)*F1 4) not enough information

Answer 1

The air resistance force on three nested coffee filters falling is 3*F1.

Step-by-step explanation:

The air resistance force on three nested coffee filters falling is 3*F1.

When the coffee filters fall, they quickly reach a terminal speed of approximately 1.7 m/s. Terminal velocity occurs when the air resistance force equals the weight of the object. Since the filters are nested, the air resistance force on a single falling filter is F1. Therefore, assuming the air resistance force is the same for each filter, the air resistance force on the three falling filters is 3*F1.

Answer 2

1) F1

Step-by-step explanation:

As the air resistant force depends on the speed of object and its orientation as it falls, it does not depend on the mass of the object. Therefore, air resistant force on 1 coffee filter is the same as the air resistant force on 3 coffee filters.