Question

Since this object is traveling at terminal velocity, what must be the value of Fd? (HINT: how to the lengths of both arrows compare?)

Question options:

A. 0 Newtons


B. 425 Newtons


C. 850 Newtons


D. 1700 Newtons

Answer 1

The magnitude of the air drag when the object is traveling at terminal velocity is C. 850 Newtons

Explanation:

There are only two forces acting on the object here:

- The force of gravity, of magnitude $F_g = 850 N$, acting downward

- The air drag, $F_d$, acting upward

Therefore, the equation of motion for the object is

$F_g - F_d = ma$

where m is the mass of the object and a its acceleration.

The object in this problem is traveling at terminal velocity: this means that the acceleration is zero, so

a = 0

Therefore the equation becomes

$F_d = F_g$

which means that the magnitude of the air resistance is equal to the magnitude of the force of gravity:

$F_d = 850 N$

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