Why Does the Scale Show 76 kg in the Elevator?

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SUMMARY

The discussion centers on a physics problem involving an elevator and a scale reading of 76 kg when a person with a normal mass of 65 kg steps onto it. The key equation used is w = mg + ma, where 'w' represents the apparent weight, 'm' is the mass, 'g' is the acceleration due to gravity, and 'a' is the acceleration of the elevator. The increase in scale reading indicates that the elevator is accelerating upwards, resulting in a greater apparent weight due to the additional force acting on the person.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concepts of weight and apparent weight
  • Basic knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the effects of acceleration on apparent weight in different scenarios
  • Learn about free body diagrams to visualize forces acting on objects
  • Explore the relationship between mass, weight, and acceleration in various contexts
  • Investigate the physics of elevators and their impact on perceived weight
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of forces and motion, particularly in relation to elevators and apparent weight changes.

drewdiddy
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Homework Statement



Normal mass is 65kg. I get into an elevator, on a scale in the elevator and it reads 76 kg. Find a along with direction.

Homework Equations



w = mg + ma

The Attempt at a Solution



Obviously the elevator is accelerating upwards due to the apparent increase in mass. However, for the life of me I am having issues setting up this basic problem. I don't need any answers, just a shove in the right direction. How do I correlate the actual mass with the 76 kg? Thank you.
 
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Hi drewdiddy,

What force (acting on you) does the reading of 76kg represent?

In other words, you can find a force from the 76kg reading by multiplying it by g, and that force is acting on you. What force is it?
 

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