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A 35-kg crate rests on a horizontal floor, and a 65-kg person is standing on the crate. Determine the magnitude of the normal force that (a) the floor exerts on the crate and (b) the crate exerts on the person.

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980$N$640$N$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Rutgers, The State University of New Jersey

Simon Fraser University

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.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

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we begin this question by drawing the force that are acting on our system so the gravitational force acts on the crate. Then there is a force that before exerts on the crate, acting on that great at the same time, they would have additional forced acts on the person, and then the great exerts some force on that person. So these are the forces that are acting on our problem. Then, to solve the problem, we have to apply Newton second low. So first, let's apply Newton's second law the crate. So the net force acting on the great is equals to the mass off the crate Times declaration off the creed note that the crate is a standing still, so it's not moving. Their foreign declaration is close to zero. That which was my referential has being that everything that is pointing up its positive on everything that is pointing down is negative. In this attempt, the Net force acting on the great eggs equals two miners the weight off the create, plus the force that the floor exerts on the great minus force that the person exerts on the crate, which is equals to the weight force off this person. Serve my nose. The weight off the person on this is a question zero. Therefore, the force that's the floor exerts on the crate is a close to the weight off the great, plus the weight off the person. And these is equals truth. The mass off the crate times acceleration off gravity plus the mass off the person times Next operation off gravity. So considering that declaration off gravity is equals to approximately 9.8 meters per second squared, we get that The force that the floor exerts on the great is equals to 35 times 9.8 plus 65. Thanks 9.8. These results in the force exerted by the floor on the crate off 980 Newtons. This is the force that the floor exerts on the great. Now we apply Newton's second law to the person. So no a plane to the person we got the following than that force that is acting on the person. Is it close to zero because the person is a standing steel, so it's extra relation. Is it close to zero because it's so so not going to move and there are two forces acting on the person. One force is the force that the create exerts on the person, and the other is the weight off the person, which is negative because of my choice of referential New Jersey close to zero. Therefore, the force that decreed exerts on the person is a close to the weight off the person that is given by the mass off the person times the acceleration of gravity, which is equals to 65 times 9.8. And these gives us a force that the crate exerts on the person off 600 on 37 Newton.

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