Answered: A scale in the elevator’s floor…

Name: A scale in the elevator’s floor measures the weight of the passengers,
Uploaded: 2024-03-20T06:57:57.000Z
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Description: A scale in the elevator’s floor measures the weight of the passengers, and it has the correct value when the elevator is not moving. The combined mass of the passengers is 572 kg. The elevator is moving up at a constant speed of 3.2 m/s. What is the

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A scale in the elevator’s floor measures the weight of the passengers, and it has the correct value when the elevator is not moving. The combined mass of the passengers is 572 kg.

The elevator is moving up at a constant speed of 3.2 m/s. What is the acceleration of the elevator for this part?

Expert Solution

Fundamentals

Given, a situation where an elevator moves up with a constant speed of $v = 3.2 m s^{- 1}$ .

Recall that, the Normal force ( $N$ ) acting on the elevator of mass $m$ ,

at rest or moving at a constant speed:
$N = m g$
accelerating up with acceleration $a$ :
$N = m g + m a$
accelerating down with acceleration $a$ :
$N = m g - m a$

where,
$g$ : Acceleration due to Gravity

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