The magnitude of the acceleration of the elevator is 90m/s^2
Due to Newton's Law ∑ Forces in direction of motion is equal to mass
multiplied by the acceleration
We have here two forces 5000 N in direction of motion and the weight of the person in opposite direction of motion
The weight of the person is his mass multiplied by the acceleration of gravity
So ,
W = mg , where m is the mass and g is the acceleration of gravity
m = 50 kg and g = 9.8 m/s²
Substitute these values in the rule above
W = 50 × 9.8 = 490 N
The scale reads 5000 N
F = 5000 N , W = 490 N , m = 50kg
F - W = ma
5000 - 490 = 50 a
4510 = 50 a
Divide both sides by 50
a = 90.2 m/s²
Hence the acceleration is 90m/s^2
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