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Two horizontal forces, $\overrightarrow{\mathbf{F}}_{1}$ and $\overrightarrow{\mathbf{F}}_{2},$ arc acting on a box, but only $\overrightarrow{\mathbf{F}}_{1}$ is shown in the drawing. $\overrightarrow{\mathbf{F}}_{2}$ can point either to the right or to the left. The box moves only along the $x$ axis. There is no friction between the box and the surface. Suppose that $\overrightarrow{\mathbf{F}}_{1}=+9.0 \mathrm{N}$ and the mass of the box is 3.0 $\mathrm{kg}$ . Find the magnitude and direction of $\overrightarrow{\mathrm{F}}_{2}$ when the acceleration of the box is $(\mathrm{a})+5.0 \mathrm{m} / \mathrm{s}^{2}, \quad$ (b) $-5.0 \mathrm{m} / \mathrm{s}^{2},$ and $(\mathrm{c}) 0 \mathrm{m} / \mathrm{s}^{2}$

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$+6 N$$-24 N$$-9.0 N$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

Rutgers, The State University of New Jersey

University of Washington

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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Two horizontal forces, $\o…

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Two horizontal forces, and…

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Two horizontal forces, an…

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There are two horizontal f…

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Two boxes connected by a l…

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There are two forces on th…

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Suppose, as depicted in Fi…

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A $2.00 \mathrm{~kg}$ box …

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There are two forces on t…

in these questions we have to force is at one and two that is acting on his book. Then we do that. The magnitude of the four step one is the question. Nine new terms and it's pointing for the right we have now is over. What is the magnitude of the force at two. And we don't do what direction does the force at two points. So this he's just a guess, so we can start. So problem two. By writing down the new term second law for that box, you get the following, then that force on the box is Nikolas Truth, that one. What that's true, then the net force. Is it close to nine? What I have to. We don't know what is their value off at two. And then we know that the Net force is opposed to the match off the box kinds. Acceleration of the box uniform you're forced to. It's them equals to the mask off the box Times declaration off the box, minus nine. But we know what is the matter of the box Mass. Off the box is three kilograms. So after you, is it close to three times the acceleration minus nine. So on the first item, acceleration is given at five meters per second square. Then in the situation the Force F troop that is acting in the box in records to tree times five minus nine, which you're 15 minus nine and they gave us six. New comes So on the first item, the force, after his six new turns to the right. On the second item, we get on exploration off minus five meters per seconds. Where and then the force actu Well, b equals 23 times minus five minus nine. And this is the coast to minus 15 minus nine, which is because to minus 24 new terms. Therefore, in this situation at two, he's 24 new terms to the left. Why left? Because it has a negative sign here. And we have supposed that it was pointing to the right. So you're negative. Finally, situation means that the force is pointing to the order direction which in this case, it's the left and finally, on the last item. We have an acceleration off zero meters per second square and these given the force back to that his secrets to three times zero minus nine. Which night? Minus nine. New toes. Therefore on the third item two. You mind new terms to do that? Just finish this here in the first item. True. You're six. New comes two. You're right.

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