Calculating Collision: How Long Until Two Continents Collide?

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Homework Help Overview

The discussion revolves around calculating the time it would take for two continents, currently 3,000 km apart, to collide given a typical motion of tectonic plates at a rate of 1 centimeter per year.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between distance and speed, with one suggesting the formula time = distance / speed. Others are attempting to apply this formula to the given problem, questioning the correct conversion of units and the resulting calculations.

Discussion Status

Several participants are engaged in exploring the calculations, with one expressing uncertainty about their result and another prompting for corrections to the figure obtained. There is an ongoing examination of the assumptions and conversions necessary for the problem.

Contextual Notes

Participants are working with the conversion of kilometers to centimeters and the implications of the speed of tectonic plate movement. There is a lack of clarity regarding the final figure in years and how to accurately represent it.

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Homework Statement



Typical motions of one plate relative to another are 1 centimeter per year. At this rate, how long would it take for two continents 3,000 km apart to collide?

Which formula would I use? Thanks

Homework Equations





The Attempt at a Solution



I know that 1 km = 100,000 cm
 
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time = distance / speed
 
t = 3,000 km / speed ?
 
Well I got 3 x 10 to the 8th. Not sure if I got this right...
 
CrossFit415 said:
Well I got 3 x 10 to the 8th. Not sure if I got this right...
correct that figure in years.
 

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