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Consider a person standing on a scale in an elevator. If the elevator accelerates upwards with an acceleration of 1.24 m/s2 and the person has a mass of 91.3 kg, what would the scale read? HINT: you need to take into account the acceleration due to gravity, as well as that of the elevator.

Respuesta :

Given:

The upward acceleration of the elevator, a=1.24 m/s²

The mass of the person, m=91.3 kg

To find:

The reading of the scale.

Explanation:

When the elevator is accelerating upwards, the force applied on the scale is given by,

[tex]F=ma+mg[/tex]

On substituting the known values,

[tex]\begin{gathered} F=91.3\times1.24+91.3\times9.8 \\ =1007.95\text{ N} \end{gathered}[/tex]

Final answer:

The reading of the scale is 1007.95 N

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