Answered

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An 88 kg worker stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale reads 900 N. Find the magnitude and direction of the elevator's acceleration.

Sagot :

Cricetus

Answer:

The magnitude is "3.8 m/s²", in the upward direction.

Explanation:

The given values are:

Mass,

m = 88 kg

Scale reads,

T = 900 N

As we know,

⇒  [tex]N=mg[/tex]

On substituting the given values, we get

⇒      [tex]=88\times 9.8[/tex]

⇒      [tex]=862.4 \ N[/tex]

Now,

⇒  [tex]T=mg-ma[/tex]

On substituting the given values in the above equation, we get

⇒  [tex]900=862.4-9.8 a[/tex]

On subtracting "862.4" from both sides, we get

⇒  [tex]900-862.4=862.4-9.8 a-862.4[/tex]

⇒              [tex]37.6=-9.8a[/tex]

⇒                   [tex]a=-\frac{37.6}{9.8}[/tex]

⇒                   [tex]a=3.8 \ m/s^2[/tex] (upward direction)

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