Solving Force of Elevator on Person: 0.6 kN?

In summary, a person weighing 0.6 kN is riding in an elevator with a downward acceleration of 3 m/s2. The acceleration of gravity is 9.8 m/s2, and the question asks for the magnitude of the force of the elevator floor on the person in units of kN. Using the equation F = ma, the acceleration due to gravity is downwards and the effect of the elevator's acceleration counteracts this. Therefore, the person would feel lighter, leading to a downward acceleration in the formula.
  • #1
allora_97
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0

Homework Statement


A person weighing 0.6 kN rides in an elevator
that has a downward acceleration of 3 m/s2.
The acceleration of gravity is 9.8 m/s2 .
What is the magnitude of the force of the
elevator floor on the person?
Answer in units of kN.


Homework Equations


F = ma


The Attempt at a Solution


Is the downward acceleration of the elevator and gravity in the same direction, so should the acceleration in the formula equal the sum of the acceleration of the elevator and gravity.
Or are they in opposite directions?
 
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  • #2
What do you think? Do you feel lighter on an elevator accelerating downwards, or heavier?
 
  • #3
lighter, so would is acceleration due to gravity upwards?
 
  • #4
Acceleration due to gravity is downwards because gravity doesn't change; it depends only on the Earth. However, the effect of the elevator's acceleration counteracts the effect of gravity.
 
  • #5
thanks
 

1. How do you calculate the force of an elevator on a person?

The force of an elevator on a person can be calculated using the formula F= m x a, where F is the force, m is the mass of the person, and a is the acceleration of the elevator.

2. What is the average force of an elevator on a person?

The average force of an elevator on a person can vary depending on the mass of the person and the acceleration of the elevator. However, if we assume a mass of 70kg and an acceleration of 0.6 m/s^2, the average force would be 42 N or 0.42 kN.

3. How does the force of an elevator on a person change with different acceleration?

The force of an elevator on a person is directly proportional to the acceleration. This means that as the acceleration increases, the force also increases. Similarly, as the acceleration decreases, the force decreases.

4. Is 0.6 kN a safe force for an elevator on a person?

The safety of 0.6 kN force on a person in an elevator depends on various factors such as the weight-bearing capacity of the elevator, the number of people in the elevator, and the duration of the force. It is important to follow safety guidelines and regulations to ensure the well-being of individuals in elevators.

5. How can the force of an elevator on a person be reduced?

The force of an elevator on a person can be reduced by decreasing the acceleration or by reducing the mass of the person. Installing shock absorbers or using counterweights can also help reduce the force on the person in the elevator.

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