DaylaReevaFEEVA1986 DaylaReevaFEEVA1986
  • 02-03-2020
  • Physics
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A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.4 m/s2. (a) If the tension in the cord is 91 N, what is the lamp's mass

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  • 03-03-2020

Answer:8.125 kg

Explanation:

Given

deceleration of elevator [tex]a=1.4\ m/s^2[/tex]

suppose T is the tension in the cord

therefore net force on lamp is

[tex]F_{net}=T-mg[/tex]

[tex]F_{net}=ma[/tex]

direction of a and g is in the same direction

[tex]T-mg=m(1.4)[/tex]

[tex]T=m(g+a)[/tex]

[tex]m=\dfrac{T}{g+a}[/tex]

[tex]m=\dfrac{91}{9.8+1.4}[/tex]

[tex]m=8.125\ kg[/tex]

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