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$\bullet$$\bullet$ Friction in an elevator. You are riding in an elevator onthe way to the 18 th floor of your dormitory. The elevator isaccelerating upward with $a=1.90 \mathrm{m} / \mathrm{s}^{2} .$ Beside you is thebox containing your new computer; the box and its contentshave a total mass of 28.0 $\mathrm{kg} .$ While the elevator is acceleratingupward, you push horizontally on the box to slide it at constantspeed toward the elevator door. If the coefficient of kineticfriction between the box and the elevator floor is $\mu_{\mathrm{k}}=0.32$what magnitude of force must you apply?

$=135 \mathrm{N}$

Physics 101 Mechanics

Chapter 5

Applications of Newton's Law

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Rutgers, The State University of New Jersey

University of Washington

Hope College

University of Winnipeg

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Okay, So who's this? A three body diagram for this situation? Yeah. Force of gravity acting downwards and normal force inserted by the elevator upwards. And then you're exerting a force and applied force the right. And so there's a kinetic friction for us when when it slides, um, acting opposite that direction and acceleration is upwards. So to solve this problem, we involved even second law Andi, Let's self but Result Forces and the Y directions. So you get in minus M G equals mass times Acceleration, which is in the positive direction, is upwards. So So you get that end. It's just mass times acceleration plus, so I should just and so resolving into in the ex direction then I have known it for us. Yeah, and so f will be because of friction force verification from That's a cat on. That is just coefficient of confection times normal force. We found normal force to be m times a plus. She awesome substitute that in there. And so plugging all the values Music carries 0.2 m is 28 heroes a is one point 1.9 meters per second squared and she is mine for eight meters per second squared and those are all of the units and you get 105 our meetings for the force.

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