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An 80 kg worker stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale reads 960 N. Find the magnitude of the elevator's acceleration. (Use g=10m/s^2)​

Respuesta :

Answer:

[tex]a=2\ m/s^2[/tex]

Explanation:

Given that,

Mass of a worker, m = 80 kg

When the elevator begins to move, the scale reads 960 N

We need to find the magnitude of the elevator's acceleration. The net force acting on it is given by :

[tex]F_s-F_g=ma\\\\F_s-mg=ma\\\\960-80(10)=80a\\\\160=80a\\\\a=2\ m/s^2[/tex]

So, the magnitude of the elevator's acceleration is [tex]2\ m/s^2[/tex].

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