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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61

Problem 46 Hard Difficulty

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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Video Transcript

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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