Solving the Elevator Problem: Weight, Speed & Acceleration

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In summary, the scale would read the girl's weight plus the force of the slowing elevator, as the acceleration is opposite the velocity and can be found using the definition of acceleration.
  • #1
khf
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A 56-kg girl weighs herself by standing on a scale in an elevator. What does the scale read when the elevator is ascending at 13m/s buts its speed is decreasing by 4m/s in each second?

I know you use Newton's second law, however, I do not know how to find acceleration..
 
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  • #2
which direction is the acceration? If you figure that out you know which direction the force of the slowing elevator is. Add the wieght vector with the force vector to get her wieght...




the acceration if opposite the velocity ( girl weighs W = mg + ma_elevator)
 
  • #3
khf said:
I know you use Newton's second law, however, I do not know how to find acceleration..
Apply the definition of acceleration: [itex]a = \Delta v/\Delta t[/itex]. (Direction matters.)
 

Related to Solving the Elevator Problem: Weight, Speed & Acceleration

1. What is the elevator problem and why is it important to solve?

The elevator problem refers to the challenge of determining the appropriate weight, speed, and acceleration for an elevator in order to safely transport passengers and goods between floors. It is important to solve because elevators are a crucial component of modern buildings and safety is of utmost importance.

2. How is weight taken into consideration when solving the elevator problem?

Weight is a critical factor in the elevator problem as it directly affects the amount of force required to move the elevator. The weight of the elevator itself, as well as the weight of the passengers and any cargo, must be accounted for in order to determine the appropriate speed and acceleration.

3. What is the relationship between speed and acceleration in solving the elevator problem?

Speed and acceleration are closely related in solving the elevator problem. Acceleration is the rate at which the elevator's speed changes over time. The appropriate acceleration must be calculated in order to safely move the elevator within a desired speed range.

4. How do safety regulations come into play when solving the elevator problem?

Safety regulations are a key consideration in solving the elevator problem. Elevators must meet strict safety standards set by governing bodies in order to ensure the safety of passengers. These regulations dictate factors such as weight limits, speed limits, and acceleration rates.

5. Are there any mathematical equations or formulas used in solving the elevator problem?

Yes, there are several mathematical equations and formulas used in solving the elevator problem. These include equations for calculating weight, force, speed, and acceleration, as well as formulas for determining the necessary power and energy required to move the elevator. These equations and formulas are important tools in finding the optimal solution for the elevator problem.

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