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 with an unchanging velocity? _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 with an unchanging velocity?

_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 with an unchanging velocity? <sub>f</sub> is the force of the floor on the person and <sub>g</sub> 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

In an elevator moving upward with constant velocity, the person experiences a normal force (upward force by the floor) equal in magnitude but opposite in direction to the gravitational force (downward force by gravity). Therefore, the free-body diagram for the person should show two forces that are equal in magnitude and opposite in direction (i.e. a balanced force diagram). Choice B is the only free-body diagram that shows such balanced forces with correct relative force magnitudes. Choice A and D show unbalanced forces, with the force of gravity larger than the normal force. Choice C shows unbalanced forces, with the normal force larger than the force of gravity. Choice E shows unbalanced forces, with the normal force larger than the force of gravity and an additional unbalanced force in the upward direction.

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