While an elevator traveling upward slows down to stop, the...

While an elevator traveling upward slows down to stop, the normal force on the feet of a passenger is _____ her weight. While an elevator traveling downward slows down to stop, the normal force on the feet of a passenger is _____ his weight. A. larger than; smaller than B. larger than; larger than C. smaller than; smaller than D. smaller than; larger than E. equal to; equal to

While an elevator traveling upward slows down to stop, the normal force on the feet of a passenger is _____ her weight. While an elevator traveling downward slows down to stop, the normal force on the feet of a passenger is _____ his weight.
A. larger than; smaller than
B. larger than; larger than
C. smaller than; smaller than
D. smaller than; larger than
E. equal to; equal to

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Key Concepts

Newton's Second Law

Newton's Second Law states that the net force acting on an object is equal to its mass multiplied by its acceleration. This principle is central to analyzing forces in an accelerating elevator, where the net force on a passenger’s body (combining gravitational force and the elevator’s acceleration) determines the magnitude of the normal force experienced.

Apparent Weight

Apparent weight is the reading of the normal force that a scale measures and is experienced as the weight of a person. When accelerating, this force differs from the true gravitational weight because the acceleration either increases or decreases the net force acting on the person, making them feel heavier or lighter, respectively.

Acceleration in Non-Inertial Frames

In a non-inertial frame, such as an accelerating elevator, the effective forces acting on objects include the effects of the acceleration. This leads to adjustments in the normal force experienced by a person; for example, when an elevator slows down while moving upward, the additional downward acceleration reduces the normal force, and vice versa when it slows down moving downward.

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