Consider a person standing in an elevator that is moving at constant speed upward. The person, of mass m, has two forces acting upon him, the downward force m g due to gravity, and the upward supporting force n exerted by the floor of the elevator. In this case, which of these two forces has the smaller magnitude?

Respuesta :

Answer:

The weight of the person has a smaller magnitude.

Explanation:

For an observer in inertial frame of reference for the person in the elevator Newton's Second Law can be written as

Normal reaction acts upwards

Weight acts downwards

[tex]\sum F_{v}=ma_{v}\\\\N-mg=m\times a_{v}\\\\m\times a_{v}> 0\\\\\therefore N-mg> 0\\\\\therefore N> mg[/tex]

Here

N is the normal reaction force

mg is the weight of the person

g is acceleration due to gravity

Ver imagen A1peakenbe

The weight of the person is defined as the product of mass and gravity. The weight of the person has a smaller magnitude than the normal force acting on that person.

What is the net force?

The net force act on the body is the resultant of the forces acting in either x or y-direction.it is used to find force in the x and y direction when the force is act in two directions.

Given data in the problem;

N is the normal reaction force

mg is the weight of the person

g is the gravitational acceleration

The net force act in the verticle direction will be

[tex]\sum F_v=ma_v\\\\\sum F_v=N-mg\\\\N-mg=ma_v\\\\N-mg\geq 0\\\\ma_v\geq 0\\\\N\geq mg[/tex]

Hence the weight of the person has a smaller magnitude than the normal force acting on that person.

To learn more about the net force refer to the link;

https://brainly.com/question/16985000