Physics: What does the free-body diagram look like and What does the Scale read in N?

Physics
Tutor: None Selected Time limit: 1 Day

A 77kg person stands on a scale in an elevator. The elevator and person are accelerating downward at -1.3 m/s^2 

What does the free-body diagram look like and what does the scale read in N?

Dec 7th, 2015

Thank you for the opportunity to help you with your question!

In this case the elevator and the person are initially at rest at a higher floor.Here the acceleration is negative.It means that the elevator speeds down in the downward direction towards a lower floor.The inertia of the person prefer to stay at rest ,so the elevator floor and the scale effevtively drop out a little bit from underneath the person as the elevator accelerated down.

The free body diagram is shown below:-

Weight of the man=mg=77*9.81 =755.37N

Force acting=77*1.3=-100.1N

Scale reading=755.37N-100.1N=655.27N(ans)

I hope this would help you,but if you have any doubt regarding this,you can surely ask. :)
Dec 7th, 2015

Thank you! But what is the formula from the free body diagram that you used? Without the numbers.

Dec 7th, 2015

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Dec 7th, 2015
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Dec 7th, 2015
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