Elevator Problem For General College Physics

In summary, the question asks what the scale will read when a 220 lb man stands on it while the elevator accelerates upward and downward at 1.6 m/s^2. The normal force on the scale is determined by the mass and acceleration, with the acceleration being the sum of the acceleration due to gravity and the elevator's acceleration. To convert from pounds to Newtons, 1 pound is equal to 4.4482216 Newtons. When the elevator accelerates upward, the force is gravity minus 1.6 m/s^2, while when it accelerates downward, the force is gravity plus 1.6 m/s^2. The normal force is positive, and the direction depends on the calculations.
  • #1
Windowmaker
68
0

Homework Statement



A 220 lb man stands on a scale in an elevator. What does the scale read when the elevator accelerates upward at 1.6 m/s^2? What does it read when accelerating downward at the same rate

Homework Equations



F=ma, w=mg,

The Attempt at a Solution


m=w/g
220/9.81 = 22.43 ( Mass of the human?)

ma=F
22.43 * (1.6) = 35.88 ( Force of the upward force?)
mg= w
35.88 * 9.81 = 352 lbs ( New wieght?)
 
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  • #2
I believe that when the elevator accelerates upward, the normal force is actually mass(1.6m/s^2 + 9.81m/s^2), which is the scale you read. Normal force determines what is read on the scale. mass is however not 220lbs/9.8, but 220lbs/some pounds acceleration constant. you get it? like weight can be measured in lbs or Newtons. If they gave you Newtons, then you'd divide by 9.8 and get something in kilograms, but you have lbs. you have to find out how to convert from lbs to Newtons, then find the mass. WHat do you think you'd do next?
 
  • #3
oh shoot! downward. I'm sorry I thought it said upward. So, the acceleration is actually a=(9.81m/s^2 - 1.6m/s^2) for normal force.
 
  • #4
oh wait there are two different questions. So, both ways will be right depending on the question.
 
  • #5
so, hint: 1 pounds is equal to 4.4482216 Newton.
 
  • #6
So the force of going up is gravity minus 1.6 m/s^2? And the force going down is gravity + 1.6m/s^2?

So then convert pounds to Newtons, then calculate the mass, and I am good to go?
 
  • #7
I mean acceleration Lol.
 
  • #8
its the opposite depending on your calculations.
 
  • #9
:) up=-9.81 - 1.6
down=-9.81 + 1.6
 
  • #10
but the normal force is positive.
 
  • #11
Ok thanks. That clarifies alot. Didnt know about the conversation of lbs to N. And the Acceleration issue. :)
 
  • #12
If you drew a picture or something like that, or watched movies with a bunch of action and notice that if an elevator is going down, then someone in the elevator has the tendency to accelerate upwards, if the elevator accelerates downward fast enough. basically, the higher the elevator accelerates downward, the less the force is between the person and the elevator. and obviously the opposite is the case when accelerating upwards.
 

What is the "Elevator Problem For General College Physics"?

The "Elevator Problem For General College Physics" is a commonly used scenario in introductory physics courses to demonstrate the principles of Newton's Laws of Motion and the concept of apparent weight.

What are the key components of the "Elevator Problem For General College Physics"?

The key components of the "Elevator Problem For General College Physics" are the elevator, the person, and the forces acting on the person in different situations (stationary, accelerating, and decelerating). These forces include the person's weight, the normal force from the elevator, and the force of gravity.

How does the "Elevator Problem For General College Physics" illustrate Newton's Laws of Motion?

Newton's First Law states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an external force. In the elevator problem, when the elevator is stationary, the person and their apparent weight are also at rest. When the elevator is accelerating or decelerating, the person and their apparent weight will also accelerate or decelerate, in accordance with Newton's Second Law.

What is the significance of apparent weight in the "Elevator Problem For General College Physics"?

Apparent weight is the force that a person perceives as acting on them due to the normal force of the elevator. In the elevator problem, the apparent weight of the person changes depending on the direction and magnitude of acceleration. This demonstrates the concept of apparent weight and how it differs from actual weight, which is the force of gravity on an object.

How is the "Elevator Problem For General College Physics" relevant to real-world situations?

The "Elevator Problem For General College Physics" is relevant to real-world situations because elevators are a common mode of transportation and understanding the principles involved can help engineers design safe and efficient elevator systems. It also helps individuals understand the forces acting on them in elevators and how to safely navigate them. Additionally, the concepts demonstrated in the elevator problem can be applied to other scenarios involving changing forces and apparent weight, such as amusement park rides or space travel.

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