The magnitude of the drag force of air resistance on a certain 20.0-kg object is proportional to its speed. If the object has a terminal speed 80.0 m/s, what is the magnitude of the drag force on the object when it is falling with a speed 30.0 m/s

The drag force on the object is 73.5 N.

Explanation:

Given that,

Mass of the object, m = 20 kg

It is mentioned that the drag force of air resistance on a object is proportional to its speed i.e.

.............(1)

k is constant

Terminal speed of the object, V = 80 m/s

We need to find the magnitude of the drag force on the object when it is falling with a speed 30.0 m/s.

In case of terminal velocity, the drag force is balanced by the gravitational force as :

The drag force at a speed of 30 m/s is :

So, the drag force on the object is 73.5 N. Hence, this is the required solution.

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