Solving Force of Elevator on Person: 0.6 kN?

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SUMMARY

The problem involves calculating the force exerted by the elevator floor on a person weighing 0.6 kN while the elevator accelerates downward at 3 m/s². Using Newton's second law, F = ma, the effective force can be determined by considering both the gravitational force and the elevator's acceleration. The net force acting on the person is the difference between the gravitational force (0.6 kN) and the force due to the elevator's acceleration, resulting in a calculated force of 0.3 kN acting 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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