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8090 [49]
3 years ago
11

An 88 kg worker stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale reads 900 N. Fi

nd the magnitude and direction of the elevator's acceleration.
Physics
1 answer:
Aleks [24]3 years ago
8 0

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,

⇒  N=mg

On substituting the given values, we get

⇒      =88\times 9.8

⇒      =862.4 \ N

Now,

⇒  T=mg-ma

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

⇒  900=862.4-9.8 a

On subtracting "862.4" from both sides, we get

⇒  900-862.4=862.4-9.8 a-862.4

⇒              37.6=-9.8a

⇒                   a=-\frac{37.6}{9.8}

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

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