Force Question: student mass in elevator accelerating & coming to a stop

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SUMMARY

The discussion revolves around calculating the reading on a bathroom scale for a student with a mass of 52 kg in an elevator accelerating at 0.60 m/s² while descending and coming to a stop. The relevant equation is Newton's second law, f=ma, which is essential for determining the force exerted on the scale. As the elevator decelerates, the student experiences a momentary increase in apparent weight due to the downward acceleration being counteracted by the upward force of the scale. The scale reading will reflect this change in force during the elevator's stopping phase.

PREREQUISITES
  • Understanding of Newton's second law (f=ma)
  • Basic knowledge of forces and weight
  • Familiarity with the concept of acceleration
  • Ability to convert mass to weight using gravitational acceleration
NEXT STEPS
  • Calculate the apparent weight in an accelerating elevator using f=ma
  • Explore the effects of different acceleration values on scale readings
  • Learn about free body diagrams in physics to visualize forces
  • Investigate the concept of apparent weight in various scenarios, such as free fall
USEFUL FOR

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

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Homework Statement



A student of mass 52 kg stands on a bathroom scale in an elevator that is accelerating at 0.60 m/s². The elevator is descending and coming to a stop at a floor. What does the scale read? (Start by deciding what direction the acceleration is.)

Homework Equations



f=ma

The Attempt at a Solution



31?
 
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No.

First of all, what unit goes with 31? Regardless of your own bathroom scale, pretend you are using one that measures in Newtons (SI unit of force).

How much is the weight going to be normally?

Think about being in an elevator, going down, and the elevator is coming to a stop. As it is stopping, briefly, do you feel slightly heavier or slightly lighter?
 

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