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What gravitational force do the two protons in the helium nucleus exert on each other? Their separation is approximately 1.0 $\mathrm{fm} .$ (Consult Appendix E and Table $1-1 . )$

1,87 $\times$ 10$^{-34}$ N

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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University of Michigan - Ann Arbor

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Lectures

04:34

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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Okay, problems. 17 we have two protons and we want to know the gravitational force of the exert on each other. So I was Drug crew turns in red. It's usually how I picture protons. It's would be color red. We know they're separated by one thumb. Two meter. And if you go looking table 11 you will learn that a phantom eater is 10 to the minus 15 meters. Now, the creative dish, your additional force is big G times and one sometimes and two over distance between the two objects. And so we should have all that we need here because the mass of the proton is a known constant on dhe. So here we have in one equals and two equals the mass of the proton. So just gonna write Donald Constance here? Um, we have we have G, which is because to six point 6742 times 10 30 minus 11 Knew tim meter square over kilograms square. And then you have the proton masses which will be multiplied with each other. So that's the equivalent of squaring MP. So empty square is 1.6 26 time stand to the minus 27. I decided not to put more numbers here because we don't need that much of the precise answer. And then I keep the square here because we have two masses to multiply those air. Same masses because we have two identical protons. All persons are identical by the wish. Here we have 10 to the minus 15 meters, and that is squared because our square in the equation and then put the numbers in your calculator. You will find that force is one point um, 87 I'm staying to the minus 34 Newton's so tiny tiny force. In fact, the electric force between the protons, because those are both plus charges will be immensely larger, that the gravitational force and in fact, when we work with electricity and small charges, weaken, basically ignore entirely gravity because it is not very strong at small scales such as this

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