Calculating Force in an Accelerating Elevator - Solving for Normal Force

AI Thread Summary
To calculate the normal force exerted by the elevator floor on a 70kg person accelerating downward at 3m/s², the correct approach involves using the equation: Normal Force = (Mass x Gravity) - (Mass x Acceleration). Given that gravity is approximately 9.8m/s², the weight of the person is 686N (70kg x 9.8m/s²). Substituting the values into the equation yields: Normal Force = 686N - (70kg x 3m/s²), resulting in a normal force of 490N. The normal force represents the force exerted by the floor on the person, confirming that the calculation is correct. Understanding the direction of forces is crucial for accurate results in such problems.
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A 70kg person is in an elevator the elevator has an acceleration of 3m/s/s DOWNWARD. What force will the floor exert on the person.

I am confused on the the equation. So far I think (mass)(acceleration)=(mass)(gravity)-(normal force). I know the mass is 70kg or 700N. I also know the acceleration is 3m/s/s. so i started to fill in my equation an i got -210=700-(Normal Force). But after solving I don't see that method resulting in the correct answer. HELP
 
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You put a minus sign in front of the acceleration, so your positive direction is up and the
negative direction is down. Gravity is also downwards, so it should get a minus sign as well.
The normal force is upwards, so it should not get a minus sign.
 


i am still confused, So i worked it out the way you told me, but since i am looking for the amount of force the floor is exerting on the person should i find the normal force. or should it just be Mass x Gravity

Here is my work
(Mass)(Acceleration)=Normal Force-(Mass)(Gravity)
-210=Normal Force -700
Normal Force= 490
 


The amount of force the floor is exerting IS the normal force, so your answer is
correct.
 


thanks for the help. really appreciate it
 
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