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During a Chicago storm, winds can whip horizontally at speeds of 120 $\mathrm{km} / \mathrm{h}$ . If the air strikes a person at the rate of 45 $\mathrm{kg} / \mathrm{s}$ per square meter and is brought to rest, calculate the force of the wind on a person. Assume the person is 1.60 $\mathrm{m}$ high and 0.50 $\mathrm{m}$ wide. Compare to the typical maximum force of friction $(\mu \approx 1.0)$ between the person and the ground, if the person has a mass of 75 $\mathrm{kg}$ .

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$F_{\text {as person }}>F_{\text {th }}$ The wind is literally strong enough to blow a person off his feet.

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

University of Washington

Hope College

University of Sheffield

McMaster University

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a rate of change of mass Her purse unit Alia, is given. So we're given eso have that. So GM duty is, uh, 45 kilograms per second per square meter. It's given and so we want most find out by the area, which is 1.6 meters times of point five meters. So the square meters canceled and you get 36 kilograms per second as the rate of change of math and then velocity is given as, um, 1 20 kilometers um, per hour. And so multiply that by 1000 meters to get rid of kilometer and then multiply that by one over 3600 to get to convert from ours two seconds. And so this is 33.33 meters per second. Uh, therefore the fourth on the person s A P is just three times d m duty or M times DVD over duty, but in any case, it's 33.33 meters per second times. Um, 36 kilograms per second giving us 1200 mutants. Uh, and so the maximum force you defection if Max Afar is new, um, Times mg, I'm shooting the normal force and when you, um, is one that is just mg. So that's 75 kilograms. Uh, times 9.8 meters per second squared, giving us 7 40 Newton's. And so the force on the person is greater than the maximum force from friction. That's it.

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