(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A person weighs a fish of mass m on a spring scale atached to the ceiling of an elevator.

(a) Show that if the elevator accelerates either up or down, the spring scale gives a reading different from the weight of the fish.

2. Relevant equations

[tex]\Sigma[/tex]F=_{y}T-F=ma_{g}_{y}

WhereTis the tension of the scale acting opposite to that of gravity,F_{g}

F_{g}=mg

3. The attempt at a solution

I figure that I needed to solve for the tension in terms of the acceleration of the elevator and accelleration due to gravity.

I foundT= ma_{y}+F_{g}

But the book gave me an equation of this form:

T=mg+ma=mg([tex]\frac{a}{g}[/tex]+1)

I dont understand where they got the a divided by g + 1 factor from. Any clues would be greatly appreciated. Thanks in advance.

Joe

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# Newton 2nd law of a fish in an elevator

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