How do you find answer in Newton?(read)

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To determine the scale reading for a person weighing 480 N in a downward-accelerating elevator at 6.7 m/s², the correct approach involves calculating the net force. The net force is derived from the equation ma, which is equal to the person's weight minus the reaction force from the scale. The calculation shows that the scale reading is not simply the weight divided by gravitational acceleration; instead, it requires considering the acceleration of the elevator. The correct equation to find the scale reading is mg - ma, leading to a scale reading lower than the person's weight due to the downward acceleration. Understanding the relationship between net force, weight, and reaction force is crucial for solving such problems.
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Homework Statement


A person of weight 480 N stands on a scale in an elevator. What will the scale be reading in N when the elevator is accelerating downward at 6.7 m/s2 ?


Homework Equations


N= kg(m/s^2)


The Attempt at a Solution


Tried 480/9.81 = 48.929 times 6.7 equal 328 N
Is this the right equation? If not, please tell me what equation or how to solve problem like this. Thank you.
 
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i'm afraid that's not right, if you think about it in net force;

The net force is given by ma, which you worked out to be 328N;

however this isn't what you're looking for, you're looking for the reaction from the floor of the lift on the person, you know that the net force is equal to the persons weight (downwards) minus the reaction force (upwards)

ma (net force) = mg (weight) - reactionforce (reading on scale)
 
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