Solving Force of Elevator on Person: 0.6 kN?

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    Elevator Force
AI Thread Summary
To determine the force of the elevator floor on a person weighing 0.6 kN while accelerating downward at 3 m/s², one must consider the effects of both gravity and the elevator's acceleration. The acceleration due to gravity is 9.8 m/s², acting downward, while the elevator's acceleration also acts downward, effectively reducing the normal force felt by the person. The net force can be calculated using F = ma, where the total downward acceleration is the sum of gravitational acceleration and the elevator's acceleration. As a result, the person feels lighter due to the downward acceleration of the elevator. The final calculation reveals the magnitude of the force exerted by the elevator floor on the person.
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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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What do you think? Do you feel lighter on an elevator accelerating downwards, or heavier?
 
lighter, so would is acceleration due to gravity upwards?
 
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.
 
thanks
 
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