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What is the ratio of the gravitational pull of the sun on the moon to that of the earth on the moon? (Assume that the distance of the moon from the sun is approximately the same as the distance of the earth from the sun.) Use the data in Appendix E. Is it more accurate to say that the moon orbits the earth or that the moon orbits the sun? Why?

2.18; both are accurate

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

Olowo E.

September 9, 2021

What is the ratio of the gravitational pull of the sun on the moon to that of the earth on the moon, assume the distance of the moon from the sun can be approximated by the distance on the earth from the sun

Hope College

University of Winnipeg

McMaster University

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okay, and problem 19. We want to compare the pull of the sun moon to the pull of the earth on them. So which one attracts the moon the most? The sun, Earth, the earth. So let's drill a Bagram. This, um, moon will be black son in red and the air, isn't it? Not to scale, of course. So the moon feels pull from the earth, which I'll drop you because I'd re earth in blue. I will call this effigy force from Earth. And then son also pulls in the moon. Call that f s. So what we want is to compare the force from the sum to the fortune and to compare, we will do the ratio. So that's that's read the ratio right away. Actually, the ratio will be f s over Ft. And this is equal two. Well, if S is g times and one and two m one will be some em. Two will be the moon. So let's read the masses here. I'm just going to write a little M for Rune and he for the Earth and and it's for you, son on Then we divide by distance between the moon and some which will CO R s and that number is squared. Okay, that was the numerator here now for then you married er same, but with earth. So we will use Earth's masts and the distance of the moon to the areas Que right, let's keep going. G cancels out and cancels out and their issue region. Just run the variables here, Teoh right m s over and e and then heartbeat over our s squared. And those are all things that we know. Um, one thing that we will have to consider is that the tellers to approximate the distance from the moon to the sun as equal citizens from Earth to the sun because that's only because there's no such thing, is the Well, it's not on the table. And this this would be constantly changing. And anyway, the moon is so grows from the earth that, um truly f r s here, which would be the distance from the winter sun, is almost exactly the same Mr Distance from Earth to the sun. So we will use, um, this one. Well, they're saying right, but in the table what we have is the distance from Earth. Okay, um, that's keep going here. The mass of the sun Just gonna play the numbers in the equation. So G o mess of earth. Now it would be 5.97 Understand? 24 grams, r e is the distance between the moon and the earth, and that's given us the orbit radius in the table or between this off the moon. That's 3.84 times 10 to 8 meters. Now, um R s, which, as we discussed, we will take the distance between the earth and the sun is 1.5 times 10 to 11 meters square. That and we have been reassured to 0.18. What does this mean? The force from the sun is 2.18 times stronger than the force from the Earth on the moon. Um, so you could be tempted to say, then that the moon actually orbits the sun more than the earth. Well, and it's more question with semantics on at this point. And there's actually no answer in the in the manual for for this extra question. But let's try to answer it together. I would say it's possible. Yeah, that it's more accurate to see the moon orbits the sun more than the Earth in reality. Or it's both right. I think that's actually the answer. You're orbits. Both. All right, so and multiple. Multiple good answers for this last one. But this said this number you shouldn't. You should have to see me here to 20 Tina.

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