Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 6 - Dynamics I: Motion Along a Line - Stop to Think 6.2 - Page 141: 1

Answer

a

Work Step by Step

A descending elevator coming to a halt has a downwards velocity that is getting smaller, meaning an acceleration upwards. Comparing this to not accelerating, the force of gravity is $mg$ between the person and the floor of the elevator. Accelerating upwards, the elevator not only has to match the force of gravity $mg$, but also apply more force to accelerate upwards $ma$, meaning to total force is $m(g+a)$ which is greater than mg.
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