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A person standing on a horizontal floor feels two forces: the downward pull of gravity and the upward supporting force from the floor. These two forces(A) have equal magnitudes and form an action/reaction pair(B) have equal magnitudes but do not form an action/reaction pair(C) have unequal magnitudes and form an action/reaction pair(D) have unequal magnitudes and do not form an action/reaction pair

Physics 101 Mechanics

Chapter 4

Newton’s Laws

Newton's Laws of Motion

Applying Newton's Laws

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

Hope College

Lectures

04:16

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Hi, everyone. So the problem that we're looking at today is we're given that a person is standing on a horizontal floor and that person is gonna feel to forces, so we're gonna draw a free by a diagram. So the first force that the person feels I'm gonna draw this person as a block with Masten is the weight force that's due to gravity. And then the supporting force, the normal force that's coming from the flow from the floor for us to do is compare these magnitudes and determine if they form an action reaction pair. So the person is not accelerating in the Y direction because they're standing on the floor. So what this tells us is that our normal force or the force that's coming out pushing us up from the floor is equal to the weight force. Magnitudes are the same because the person is not accelerating in the Y direction. Therefore, this answer is one part of our problem and says that the magnitudes are the same. However, now we're gonna look at if they are, if they form an action reaction pair. And this invokes Newton's third law, which says that for every force or for every for every action there is an equal and opposite reaction. Now, my first cleanse, we might think, Yes, this isn't things is an actual reaction pair. However, they're two completely different forces and the normal force. The action reaction pair for the normal force is actually the normal force of the earth pushing back on the person. So what this looks like is here's the earth. There here's half of the earth and here is the person. So obviously this is the force that we know the Earth is pushing back on the person, but the equal and opposite pair is normal force of the person pushing back on the earth. So this is the normal that we see, and this will call in prime, which is the actual action reaction pair. Therefore, what this tells us is that although these two forces are equal in magnitude, they're not an action reaction pair. Therefore, from the choices that are given to us, the answer is B

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