A person weighing 490 N stands on a scale in an elevator. The elevator is moving upward with an acceleration of 3m/s^2. The reading on the scale is the answer is 250 N. But i ended up with 340 N?

smileycellist2

smileycellist2

Answered question

2020-11-03

A person weighing 490 N stands on a scale in an elevator. The elevator is moving upward with an acceleration of 3ms2. The reading on the scale is the answer is 250 N. But i ended up with 340 N?

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2020-11-04Added 109 answers

image
Green indicate normal force
First you have to clearly state what forces involve by free-body diagram (look above) applying Newton's law :
F=m×a
(NW)=m×a then we have N=W×ma=mg+ma=m(g+a)
where mass =Wg=4909.8=50 kg
N=50(9.8+3)=50(12.3)=615 N

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