Which one of the following free-body diagrams best represents the free-body diagram,with correct relative force magnitudes,of a person in an elevator that is traveling upward but is gradually slowing down at a rate of 9 m/s²? _f is the force of the floor on the person and
_g is the force of gravity on the person.

Question

Which one of the following free-body diagrams best represents the free-body diagram,with correct relative force magnitudes,of a person in an elevator that is traveling upward but is gradually slowing down at a rate of 9 m/s²?

_f is the force of the floor on the person and Which one of the following free-body diagrams best represents the free-body diagram,with correct relative force magnitudes,of a person in an elevator that is traveling upward but is gradually slowing down at a rate of 9 m/s2? f is the force of the floor on the person and g is the force of gravity on the person. A) B) C) D) E)

_g is the force of gravity on the person.

Quizplus · Accepted Answer

When the elevator is gradually slowing down, the net force on the person will be downwards, but less than their weight. This is because the person still has a tendency to move upwards with their original velocity, which must be overcome by a force in the opposite direction (downwards). Thus, the force of the floor on the person will be slightly less than their weight.
Option B shows a smaller force from the floor compared to the force of gravity, indicating the net force on the person is downwards but less than their weight. Option A shows a larger force from the floor compared to the force of gravity, indicating a net force upwards (which is not the case when the elevator is slowing down). Similarly, options C, D, and E show forces that do not match the scenario of a person in an elevator that is gradually slowing down.

Which One of the Following Free-Body Diagrams Best Represents the Free-Body