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A person is standing on a spring bathroom scale on the floor of an elevator which is

moving up and slowing down at the rate of 2.2 m/s².
The acceleration of gravity is 9.8 m/s². If the person's mass is 85.5 kg, what does the scale read?
Answer in units of n.

1 Answer

4 votes

Final answer:

The scale reading on the bathroom scale in the elevator is 836.1 N.

Step-by-step explanation:

The scale reading on the bathroom scale depends on the net force acting on the person. In this case, the person is standing on a bathroom scale in an elevator that is moving up and slowing down with an acceleration of 2.2 m/s². The scale reading can be calculated by using the equation:

Scale reading = (mass of person) x (acceleration due to gravity) + (mass of person) x (acceleration of elevator)

Substituting the given values, the scale reading can be calculated as:

Scale reading = (85.5 kg) x (9.8 m/s²) + (85.5 kg) x (2.2 m/s²)

Scale reading = 836.1 N

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