Gravitational Force of Meteor and Earth: 1/8 vs 64 Times as Distance Changes

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Homework Help Overview

The discussion revolves around the gravitational force between a meteor and Earth as the distance changes from 16 Earth radii to 2 Earth radii. Participants are exploring the implications of distance on gravitational force, referencing Newton's law of universal gravitation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between distance and gravitational force, with one attempting to apply a mathematical approach involving squaring the distances. Questions arise regarding the correctness of specific answer choices based on this reasoning.

Discussion Status

The discussion is active, with participants sharing thoughts on the gravitational force changes and referencing the relevant equation. Some guidance has been offered regarding the law of universal gravitation, and there is a mix of interpretations regarding the answer choices.

Contextual Notes

Participants express uncertainty about the application of the gravitational force equation and the implications of distance changes, indicating a need for clarification on the underlying principles.

zelda1850
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Homework Statement



As a meteor moves from a distance of 16 Earth radii to a distance of 2 eath radii from the center of earth, the magnitude of the gravitational force between the meteor and Earth becomes

1) 1/8 as great
2) 8 times as great
3) 64 times as great
4) 4 times as great

Homework Equations



i think there's an equation to it but i don't know

The Attempt at a Solution



i know that double the radius is 4 times the force but I am not sure how to answer this question
 
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The equation you want is called 'Newton's law of universal gravitation'. It's really pretty famous. Can you try and find it?
 
oh is choice 3 correct?
 
I would feel better answering that if you explain why you think so.
 
emm i did 16 square divided by 2 square and got 64
 
That's good. It's right.
 
oh thanks for the help
 

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