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How far from a very small 100 -kg ball would a particle have to be placed so that the ball pulled on the particle just as hard as the earth does? Is it reasonable that you could actually set up this as an experiment? Why?

0.0261 mm; no

Physics 101 Mechanics

Chapter 6

Circular Motion and Gravitatio

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

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Hope College

University of Sheffield

University of Winnipeg

Lectures

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In physics, kinematics is the description of the motion of objects and systems in the frame of reference defined by the observer. An observer has to be specified, otherwise the term is meaningless.

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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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problem. 20 tree. We have to consider very small 100 kilogram bowl and compare the attraction that has exerts on the particle. So that could be anything and compare it with the attraction of the earth. So, being little practical, you would feel that pull from the ball and the pool from the earth. And so that two things that come into consideration in this poor has given by the gravitation force equation is the mess of the particle. Um, that should be squared. So this morning and tooth, the mass of the particle, the mass of the thing, it distracted too, in the distance between the particle and mass. So, um, the closer we get to the ball, the more attracted will be to it at someone will be so close that the pull from the ball will be the same as the pool it hurt exerts on the particle. So they were gonna try to compare here. So first, um, both so football. If Jane is equal to G and bowl times and particle Jim Congo, MP, we're gonna call that are so are will be the distance between the center of each object because this distance in the equation represents the distance between the center of the masses, the center of mass of theologians and then secondly, for Earth. This time the pool is given by G Mass of the Earth. Um, times the massive particle over. Well, this time is the radius of the earth. Because we are the surface of the earth. Right? So we have to compare them. Right? So, um, that's make them equal. A couple things Cancel out, the chicken sells out, and the massive particle cancels that. And then which we want to obtain in the end is value for our right. So its eyes like, armed this equation. Then this is what I get playing around with the variables. Okay. Uh, Regis of the earth you can see in the annex is given by, um, 6.38 times 10 to 6 years, then the mass of the ball. We know that from the problems 100 kilograms, mass earth is 5.97 times 10 to 24 kilograms. And so those numbers end up giving ah distance are between the ball and particle of 2.61 Um, times 10 to the minus five years Emmanuel. They give this as, uh, give this and millionaires. And so you just have to do with times 1000 convert meters, two millimeters, Right, So that would be zero point, um 0261 limiters as a side question, they ask, is it reasonable that we could set that up as an experiment? So, uh, I think have to be extremely hard because you would need particle. But first, you need to create a ball that waits 100 kilograms and that has less than 0.2 maybe a regis. Because if the readers of the bull is bigger than that, then you can't please the practical inside the ball. Uh, so So the ball means be smaller. Has it needs to have a smaller radius than 0.261 leaders. And that is fortunately impossible unless you find us give revolutionary material. But I doubt that this would be possible with our colonel. Just science, unfortunately. So the answer to be is no

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