Elevator Weight and Acceleration

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SUMMARY

The discussion centers on calculating the acceleration of an elevator and determining the weight of a person standing on a scale inside it. Luke's scale reads 0.968 kN when the elevator accelerates upward, and 1.215 kN when he picks up an 18.6 kg box. The calculated acceleration of the elevator is 3.48 m/s² upward. The confusion arises when calculating Luke's weight, where the correct approach involves using the formula F=MA to convert mass to weight, factoring in both gravitational and elevator acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (F=MA)
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Ability to convert between mass (kg) and weight (N)
  • Familiarity with units of force (Newtons)
NEXT STEPS
  • Learn how to apply Newton's Second Law in various contexts
  • Study the effects of acceleration on weight in different scenarios
  • Explore the concept of apparent weight in non-inertial frames
  • Investigate the relationship between mass, weight, and gravitational forces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of weight and acceleration in real-world applications.

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Homework Statement


Luke stands on a scale in an elevator which has a constant acceleration upward. The scale reads 0.968 kN. When Luke picks up a box of mass 18.6 kg, the scale reads 1.215 kN. (The acceleration remains the same.) Calculate the acceleration of the elevator (enter first). Is it up or down?

my answer: 3.48 m/s^2 up

Calculate Luke's weight.

Homework Equations


I can't get luke's weight, i know i use F=MA, but when i plugged in the knowns i got Kg, and it wants N.
 
Last edited:
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It's because the question is asking for his weight not his mass. If you can work out his "mass", your can work out his weight.
 
Ok, i did (968N/3.48) x (9.8)= 2725.97N yet it says I am wrong, any ideas?
 
The 968N comes from a combination of gravitational acceleration and the acceleration of the elevator.
 

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