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A woman is standing in an elevator holding her 2.5 -kg briefcase by its handles. Draw a free-body diagram for the briefcase if the elevator is accelerating downward at 1.50 $\mathrm{m} / \mathrm{s}^{2}$ and calculate the downward pull of the briefcase on the woman's arm while the elevator is accelerating.

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Physics 101 Mechanics

Chapter 4

Newton's Laws of Motion

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

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Okay, So the elevator is accelerating dog words, which means there's no force of exploration. Uh, from acceleration of the elevator upwards. So you're free body died from essentially just, uh, comprised of two forces. One, of course, the force of gravity actually downwards On the other one is the forces the force exerted by the woman's hand on the briefcase. And so that's acting upwards. And those are the only forces to find define what age is. We use news, uh, second law. And so we sum up forces in the white direction and we call that eagles toe mass times acceleration of the white faction. And so the sum of forces the left hand side will be will be a tsh was lacking upwards minus w. It's his active downwards that will be called to m times a Why, uh and so h will be called to m times A. Why us double w is just a key so mass times acceleration due to gravity's. So here we have every times a Y plus cheap Okay, so mass is mass is 2.5 kilograms. The briefcase of gravity is 9.8 meters per second squared celebration due to gravity there, but acceleration from the elevator. That's a downward toleration. So we have a negative 1.5 meters per second squared. Okay. And so and so what you get is what you get is our only 20.8 news which happens for you to force exerted by the woman on the briefcase. That's it.

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