# Suitcase in elevator - Find pressure on the floor

• IAmSparticus
In summary, the purpose of finding the pressure on the floor when there is a suitcase in an elevator is to ensure safety and prevent overloading. The pressure on the floor is directly affected by the weight of the suitcase, but other factors such as size, shape, and elevator design can also play a role. The pressure on the floor can be calculated using a formula and if it exceeds the weight limit of the elevator, the suitcase should be removed or redistributed to prevent damage and ensure safety.
IAmSparticus
1.A suitcase (mass m = 16 kg) is resting on the floor of an elevator. The part of the suitcase in contact with the floor measures 0.50 m by 0.14 m. The elevator is moving upward, the magnitude of its acceleration being 1.40 m/s2. What pressure (in excess of atmospheric pressure) is applied to the floor beneath the suitcase?

2. P=F/A

3.
Force=ma = 16kg*9.1.4m/s/s=22.4
A= .5m*.14m= .07
F/A= 22.4/.07
P= 320 Pa
This is wrong, can someone tell me where I went wrong?

Last edited:

Force on the suitcase in a descending lift is m*(g-a).

Your calculation is correct, but your units are incorrect. The unit for force is Newtons (N) and the unit for area is square meters (m^2). Therefore, the correct unit for pressure is Newtons per square meter (N/m^2) or Pascals (Pa). Your final answer should be 320 N/m^2 or 320 Pa.

## 1. What is the purpose of finding the pressure on the floor when there is a suitcase in an elevator?

The purpose of finding the pressure on the floor when there is a suitcase in an elevator is to ensure that the elevator is not overloaded and that the floor can safely support the weight of the suitcase and all other objects in the elevator.

## 2. How is the pressure on the floor affected by the weight of the suitcase?

The pressure on the floor is directly affected by the weight of the suitcase. The heavier the suitcase, the higher the pressure on the floor will be.

## 3. What factors besides the weight of the suitcase can affect the pressure on the floor?

Besides the weight of the suitcase, other factors that can affect the pressure on the floor include the size and shape of the suitcase, the material the floor is made of, and the design and condition of the elevator.

## 4. How is the pressure on the floor calculated when there is a suitcase in the elevator?

The pressure on the floor can be calculated using the formula P = F/A, where P is the pressure, F is the force exerted by the weight of the suitcase, and A is the area of the floor that the weight is distributed on.

## 5. What should be done if the pressure on the floor exceeds the weight limit of the elevator?

If the pressure on the floor exceeds the weight limit of the elevator, the suitcase should be removed or redistributed to other areas of the elevator to ensure that the floor is not damaged and the elevator can safely operate. It is important to always follow weight limits and safety guidelines when using elevators.

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