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A chair of mass 12.0 $\mathrm{kg}$ is sitting on the horizontal floor; the floor is not frictionless. You push on the chair with a force $F=40.0 \mathrm{N}$ that is directed at an angle of $37.0^{\circ}$ below the horizontal, and the chair slides along the floor. (a) Draw a clearly labeled free-body diagram for the chair. (b) Use your diagram and Newton's laws to calculate the normal force that the floor exerts on the chair.

click for FBD142 $\mathrm{N}$

Physics 101 Mechanics

Chapter 4

Newton's Laws of Motion

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Cornell University

University of Michigan - Ann Arbor

Hope College

University of Sheffield

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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Okay. Chair being pushed 12 kilograms has been pushing floor. Person pushing is pushing it with the, uh for supporting Eaton's at an angle of depression. 37 degrees. What's with Strawberry? By diagram? There's important things observed right away. Note that this force here corresponds to a 40 sign of 143 degrees force because this is under 43. Yours on 40 sign for three. That's a horizontal. That's our downward. And so we're being a free body diagram chair. We have the downward by its weight by gravity on it. Plus this 40 sign 1 43 The four trust is 40 co sign 1 43 There's a normal response from the downward vectors. There's a force of friction, which we don't know the chairs, not seeking the ground so in it needs to equal negative, basically the inverse version of the downward force. So, in part, B says purpose is just to find in Will End is equal to the negative version of the negative is weight is downwards from 9.8 times gravity times. It's mass or 12 kilograms plus 40 sign 1 43 not that sign of 1 43 This is also negative. And so when we do this watch, you just get a positive and the positive comes out to be approximately 142 Newton's if you throw this in the calculator.

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