A skyscraper elevator comes equipped with two weighing scales: The first is a typical bathroom scale containing
Question:
A skyscraper elevator comes equipped with two weighing scales: The first is a typical bathroom scale containing springs that compress when someone stands on it, and the second is the type often used in doctor's offices, where weights are adjusted to balance that of the patient.
(a) A rider enters the elevator at the ground floor and stands on the first scale; it reads \(150 \mathrm{lbs}\). Use the principle of equivalence to answer the following questions. (i) As the elevator accelerates upward, will the scale read less than, more than, or equal to \(150 \mathrm{lbs}\) ? (ii) When the elevator reaches its maximum speed and continues rising at this speed, will the scale read less than, more than, or equal to \(150 \mathrm{lbs}\) ? (iii) And as the elevator comes to rest at the top floor, what will it read?
(b) The rider repeats the experiment, standing this time on the second scale. What will it read during each portion of the trip?
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