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ssm Two forces $\overrightarrow{\mathbf{F}}_{\mathrm{A}}$ and $\overrightarrow{\mathbf{F}}_{\mathrm{B}}$ are applied to an object whose mass is 8.0 $\mathrm{kg}$ . The larger force is $\overrightarrow{\mathbf{F}}_{\mathrm{A}}$ . When both forces point due east, the object's acceleration has a magnitude of 0.50 $\mathrm{m} / \mathrm{s}^{2}$ . However, when $\overline{\mathrm{F}}_{\mathrm{A}}$ points due east and $\overrightarrow{\mathbf{F}}_{\mathrm{B}}$ points due west, the acceleration is 0.40 $\mathrm{m} / \mathrm{s}^{2}$ due east. Find (a) the magnitude of $\overrightarrow{\mathbf{F}}_{\mathbf{A}}$ and $\quad(\mathbf{b})$ the magnitude of $\overrightarrow{\mathbf{F}}_{\mathbf{B}}$.

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3.6 $\mathrm{N}$0.40 $\mathrm{N}$

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

University of Washington

Hope College

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 forces $\overrightarro…

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A force vector $\overright…

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ssm Only two forces act on…

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the question. We can apply Newton's second law in both situations, So forget your situation. Newton's second law tells us that that force is it close to the object's mass times acceleration. But the objects net force in this case is close to a clothes. Be knows that I'm inducting that everyone pointing towards the right. It's positive, and everyone pointing toward the left is negative. So here we have f a bus at me when these is a question of mass times acceleration on the second situation in that force, let me. What is the second situation? The net force is equals again to the mass times declaration. But now exploration is different. So let's call it a crime and the net force is given by eight miners. FB Because now the force be is pointing to the left. And he was close to the mass times the new exploration. So this is what to get by using new tone. Second walk. Now what can we do? You too. So for F A A and F B well, note that it is a system of equations. In the first situation, we have a what be you close to eight times zero like haIf because for therefore, in the first situation, we have a key. Be he's sick. What's true for In the second situation, we have a minus. B equals two zero 0.4 times eight, which is equals True three 12 Therefore, our system of equation is the following has eight plus f b is equal to four on the same time f a minor that me in the post entry points. True, then how can the company the Force f K for instance? Well, for ft, we only have two. Some both equations. We can see these because here we have plus FDA and plus FDA again, which gives us true kinds as a now for f me, we have plus F B minus f b and this zero there is an exact cancellation. Then two times a day is close to four plus 7.2, which is equally true. Seven. It's true now the Force ft People's too 7.2 divided by True, which is a ghost to tree 0.6 for a is 3.6 new terms. Now how can it cos the force at me? Well, now that we know the Force eight. We can play getting either these equations or this equation to calculate its beak. Major choice. It should not make any difference. I would choose the 1st 1 Two 3.6 plus B is equal to four. Then me music was before minus 3.6. Then they forced me is equal to 0.4 new terms. It's very easy to check this. 3.6 plus 0.4 is in fact, equals before. At the same time, 3.6 minor 0.4 is the question 3.2.

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