Apparent Weight of 59.3kg Student in Elevator Forces

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SUMMARY

The discussion centers on calculating the apparent weight of a 59.3 kg student in an elevator under various conditions using fundamental physics equations. When the elevator moves at a constant velocity of 3.56 m/s upwards, the apparent weight remains 581.54 N. During a downward acceleration of 3.56 m/s², the apparent weight decreases to 374.34 N. Conversely, with an upward acceleration of 3.56 m/s², the apparent weight increases to 788.74 N. In freefall, the apparent weight is 0 N, as the student experiences weightlessness.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of gravitational force calculation (Fg = mg)
  • Familiarity with the concept of apparent weight
  • Basic algebra for solving equations
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  • Study the effects of acceleration on apparent weight in different scenarios
  • Learn about freefall and its implications in physics
  • Explore the relationship between mass, weight, and gravitational force
  • Investigate real-world applications of Newton's laws in elevators
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Physics students, educators, and anyone interested in understanding the principles of force and motion in varying gravitational contexts.

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Intro: A physics student of a mass 59.3kg is standing on a scale in an elecator. The scale shows the magnitude of the upward normal force (in Newtons) on the student, this value is called the apparent weight. What is the reading on the scale when the elevator:

Questions

a) has a constant velocity of 3.56 m/s [up] ?
b) has a constant acceleration of 3.56 m/s squared [down] ?
c) has a constant acceleration of 3.56 m/s squared [up] ?
d) is undergoing freefall?

Answer using simple Force equations, such as:
Fnet = ma = Fg + Fn + Fapp

a = Fnet
m

and other easy (grade 12) type equations. Thanks
 
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You need to show some work on your own before we can help you. What are your answers to a-d so far?
 
im not sure if I am over thinking this or not, but i tried to think simple and i came up with...
a) 59.3kg
b)42.6kg
c)76.0kg
d)0kg
 
You're on the right track, but remember that weight is the force F produced on a mass m by the acceleration of gravity g. What is the equation relating force, mass and acceleration?
 
Fnet = ma ?
 
so would b) = 37.8 kg ?
 
and a) = 80.8 kg ?
 
sorry not a)...i mean c)
 
No. Weight has units of Newtons (N), and mass has units of kg. Let's take the stationary example:

F = mg = 59.3 kg * 9.8 \frac{m}{s^2} = ? N
 

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