Stuntwoman The downward acceleration of a 60 -kg stunt-...

Stuntwoman The downward acceleration of a 60 -kg stunt- woman near the end of a fall from a very high building is 7.0 $\mathrm{m} / \mathrm{s}^{2} .$ What resistive force does the air exert on her body
at that point?

Key Concepts

Resistive Force (Air Drag)

The resistive force, often referred to as air drag, opposes the motion of an object moving through a fluid such as air. In free-fall situations, this force acts upward against the gravitational pull. Determining this force involves comparing the gravitational force to the net force derived from the object's actual acceleration.

Force Balance in Free Fall

In scenarios where an object is falling with air resistance, the net force on the object is obtained by subtracting the resistive force from the gravitational force. This force balance is crucial for understanding why the measured acceleration is less than the acceleration due to gravity, and it provides the basis for calculating the magnitude of the resistive force.

Gravitational Force (Weight)

The gravitational force, commonly known as weight, is the force exerted on a mass by gravity and is calculated as the product of the mass and the acceleration due to gravity (mg). It always acts in the downward direction and is a key component in analyzing the dynamics of falling objects.

Newton's Second Law

This law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). In problems involving motion under multiple forces, such as free fall with air resistance, it allows us to relate the observed acceleration to the difference between the gravitational force and any opposing forces.

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