How Does an Elevator's Acceleration Affect Your Weight?

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SUMMARY

The discussion focuses on the effect of an elevator's acceleration on a person's weight, specifically during ascent. When an elevator ascends with a net acceleration of +1.0 m/s², the apparent weight of a person weighing 110 lbs on Earth increases due to the additional normal force exerted by the weighing machine. The formula used to calculate the normal force is N = mg + ma, where N is the normal force, m is the mass, and g is the gravitational acceleration of -9.8 m/s². The conclusion confirms that while the actual weight remains constant, the reading on the scale increases during upward acceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of gravitational acceleration (g = -9.8 m/s²)
  • Familiarity with the concept of normal force in physics
  • Ability to manipulate equations involving mass and acceleration
NEXT STEPS
  • Study the principles of Newton's second law of motion
  • Learn how to calculate normal force in various scenarios
  • Explore the effects of acceleration on weight in different contexts
  • Investigate the physics of elevators and their design considerations
USEFUL FOR

Students of physics, engineers involved in elevator design, and anyone interested in understanding the relationship between acceleration and apparent weight.

jo3jo3520
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A hotel elevator ascends 200 meters with a maximum speed of v= 5.0 m/s. It has a constant (net) acceleration of a +/- 1.0m/s^2. This means that the bottom floor is at 0.0meters and the top floor is at 200 meters. At rest, the v=0. when going up, it fights against gravitational acceleration of g=-9.8m/s^2. when going down, gravity "helps". if you weigh 110lbs on Earth at sea level, how much would you weigh while going up in the elevator?


Now I am assuming the question was meant to confuse you with all that information and the only relevant info is gravity and the weight of the person? Would anyone mind helping me understand if this is correct and give me help as how to solve the problem
 
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jo3jo3520 said:
A hotel elevator ascends 200 meters with a maximum speed of v= 5.0 m/s. It has a constant (net) acceleration of a +/- 1.0m/s^2. This means that the bottom floor is at 0.0meters and the top floor is at 200 meters. At rest, the v=0. when going up, it fights against gravitational acceleration of g=-9.8m/s^2. when going down, gravity "helps". if you weigh 110lbs on Earth at sea level, how much would you weigh while going up in the elevator?


Now I am assuming the question was meant to confuse you with all that information and the only relevant info is gravity and the weight of the person? Would anyone mind helping me understand if this is correct and give me help as how to solve the problem

Note the difference. The person would weigh the same as weight is the force with which the Earth attracts the person. But there will be a change in reading of a weighing machine while going up with an acceleration of 1m/s^2. The reason being, that the weighing machine records the normal force it applies on the person.
N-mg=m*1
N=mg+m
 
hey thanks i found my answer...appreciate the help
 

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