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The Domino Theory (Posted on 2006-06-28) Difficulty: 5 of 5
You have an infinite row of dominoes. Each domino is the same size, weight, and distance apart from the next domino.

Ignore relativistic effects, assume that the coefficient of friction between the dominoes and the floor is excessively large, and assume the naturally occuring variables, such as sound and heat loss, do not apply.

If you were to graph the topple rate (dominoes toppled over a second) over time, what would the basic shape of the line be?

What are all the necessary variables in determining the equation of the line?

Use the variables from the previous part to create an equation that solves for the topple rate after a certain time has passed.

No Solution Yet Submitted by Haruki    
Rating: 3.5000 (2 votes)

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solution | Comment 7 of 8 |
If you give that the dominos are positioned so that they are close enough together that a picture of them falling would show 3 or 4 dominos in contact and in various stages of fall; the line showing rate of fall would have a very short accelleration curve at the very beginning and quickly even out to a straight line for the rest of the infinite string.
  Posted by Dennis on 2006-09-14 18:36:23
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