What is the Force Exerted on a Bathroom Scale in an Elevator on Earth?

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    Elevator Force
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Homework Help Overview

The problem involves calculating the forces exerted on a bathroom scale in various scenarios while in an elevator on Earth, considering different states of motion such as constant speed and acceleration. The subject area includes concepts from mechanics, specifically Newton's laws of motion and forces.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of free body diagrams to visualize the forces acting on the person in the elevator. There are attempts to apply Newton's laws to determine the net forces in different scenarios. Some participants express confusion about handling the various forces involved.

Discussion Status

Some participants have made progress in solving parts of the problem, while others are still seeking clarification on specific parts, particularly regarding the calculations for different scenarios. There is an ongoing exploration of the relationships between the forces and the resulting accelerations.

Contextual Notes

Participants mention the need to consider both upward and downward motions, as well as constant speeds versus acceleration, which adds complexity to the problem. There is an acknowledgment of the various forces acting on the person, including weight and normal force.

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Homework Statement


Your mass is 65 kg. You stand on a bathroom scale in an elevator on Earth.

(a) What force would the scale exert when the elevator moves up at a constant speed?

(b) What force would the scale exert when it slows at 2.1 m/s2 while moving upward?

(c) What force would the scale exert when it speeds up at 2.1 m/s2 wile moving downward?

(d) What force would the scale exert when it moves downward at a constant speed?

(e) What force would the scale exert when it slows to a stop at a constant magnitude of acceleration?

Homework Equations


f=ma
fg=mg
fnet=mAnet
Ff=μῦFn


The Attempt at a Solution


I honestly have no idea what to do with all these Y forces going everywhere..Can someone walk me through the process of solving this problem?

THANK YOU IN ADVANCE FOR ANY HELP!
 
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Draw free body diagrams. There are 2 forces acting on the person, the person's weight, acting down, and the normal (scale) force acting up. Use Newton's laws F_net = ma when accelerating. At constant speeed or at rest, F_net =0 (no acceleration, per Newton 1). Please show an attempt .
 
I found (a), (c), and (d), but I can't find (b). Here is my attempt at solving it:

mAnet = -Fn + Fg
mAnet - Fg = -Fn
65(-2.1) - 65(9.81) = -Fn
774.15 = Fn

Help?
 
I also don't understand how to find (e)..
 
Okay after working on this, I've solved it. Thanks anyways!
 

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