A child stands on a bathroom scale while riding in an elevator. The child's weight when the elevator is not moving is 100 Ibs. What does the scale read when the elevator accelerates upward while travelling downward?

greater than 100 Ibs

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less than 100 Ibs

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exactly 100 Ibs

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The same as it reads when accelerating downward while travelling upward, by symmetry.

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Solution

The correct option is A greater than 100 Ibs
Given,

When lift is not moving, gravity force act downward, weighing machine show $\to F = m \to g = 100 l b s$ force.

When lift start moving upward with acceleration $\to a$ , Normal reaction force on child increase by $m \to a$

Therefore, net weight on weighing machine become, $\to F = m \to g + m \to a$

Hence, scale will show weigh greater than $100 l b s$ force.

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