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Monica [59]
3 years ago
8

A 50 kg person is standing on a bathroom scale in an elevator moving upward.

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0
The scale reads the Normal (reaction) force.

a) Upward acceleration

Balance of forces on the scale: Normal - Weight = ma

Normal = 56kg*g
Weight =50*g
ma = 50*a

56*g - 50*g =50*a => a =[ 56*g* - 50*g ] / 50 = 0.12*g =0.12*9.8m/s^2 =

a = 1.176 m/s^2


b) Downward acceleration

Weight - Normal = ma

=> Normal = Weight - m.a

Normal = 50*9.8m/s^2 -  50*1.176m/s^2 = 431.2 N

Scale reading: 431.2 N/ 9.8 N/m = 44 kg.
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