- #1

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## Homework Statement

I know the moon does. I know it is because tidal forces fall off as 1/r

^{3}. But why? Mathematically, I mean.

## Homework Equations

F = GMm/r

^{2}

## The Attempt at a Solution

None

- Thread starter Vitani11
- Start date

- #1

- 275

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I know the moon does. I know it is because tidal forces fall off as 1/r

F = GMm/r

None

- #2

- 16,657

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In what way does this statement not contain both the question and the answer?I know the moon does. I know it is because tidal forces fall off as 1/r^{3}. But why? Mathematically, I mean.

- #3

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- #4

gneill

Mentor

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Did you try a search on Tidal Force? Even the Wikipedia article on Tidal Force shows a short derivation (granted it's for the locations lying along the line joining the centers of the two interacting bodies, but it avoids the vector math required for the more general solution for points located anywhere on the surface of the smaller body).^{2}to an equation for tides that has a 1/r^{3}in it?

- #5

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Tides result because of the variation of the force of gravity. Points on the side of the earth near to the moon are more strongly attracted than points on the far side.^{2}to an equation for tides that has a 1/r^{3}in it?

In other words, the tides are not caused by the force of gravity which is proportional to 1/r

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