Calculating Collision: How Long Until Two Continents Collide?

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To calculate the time until two continents collide, the distance of 3,000 km must be converted to centimeters, resulting in 300,000,000 cm. Given that tectonic plates move at a rate of 1 cm per year, the time to collision can be calculated using the formula time = distance/speed. This results in a calculation of 300,000,000 years for the continents to collide. The initial calculation of 3 x 10 to the 8th was correct, confirming the time frame for the collision.
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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