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Due to continental drift, the North American and European continents are drifting apart at an average speed of about \(3 \mathrm{~cm}\) per year. At this speed, how long (in years) will it take for them to drift apart by another \(1500 \mathrm{~m}\) (a little less than a mile)?

Short Answer

Expert verified
It will take 50,000 years for them to drift apart by another 1500 meters.

Step by step solution

01

Convert 1500 meters to centimeters

To calculate how long it will take to drift apart by \(1500 \text{ meters}\), first convert the distance from meters to centimeters. Since there are 100 centimeters in a meter, multiply 1500 meters by 100. \[1500 \text{ meters} \times 100 = 150000 \text{ centimeters}\]
02

Calculate the time in years

Now that we know they need to drift apart by \(150000 \text{ centimeters}\) and they drift apart at a rate of \(3 \text{ centimeters per year}\), divide the total distance by the rate of drift.\[\frac{150000 \text{ centimeters}}{3 \text{ centimeters per year}} = 50000 \text{ years}\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Rate of Separation
The concept of the **rate of separation** refers to the speed at which two objects move apart from each other over time. In the context of continental drift, the North American and European continents are drifting apart. The rate of separation for these two land masses is measured at approximately \(3 \text{ cm/year}\).
This means that each year, the distance between the two continents increases by 3 centimeters. Understanding the rate of separation helps us to calculate how long it will take for the continents to move apart by a specific distance, given a constant speed of drift. By knowing this rate, calculations concerning distance over time become more straightforward.
Distance Conversion
**Distance conversion** is crucial when solving problems involving different units of measurement. In our exercise, we need to convert 1500 meters into centimeters.

To convert meters to centimeters, we use the fact that there are 100 centimeters in one meter. This means multiplying the distance in meters by 100. Therefore:
  • 1500 meters becomes 1500 x 100 = 150000 centimeters.
This conversion is essential to match the units with the rate of separation (which is given in centimeters per year), allowing for accurate calculations of time and distance.
Unit Conversion
**Unit conversion** is the process of transforming one unit of measurement to another to ensure consistency in calculations. In our scenario, it's vital because we need to work with the same units when applying the drift rate to the total separation distance.

By converting 1500 meters to centimeters, we align the target distance with the rate, which is expressed in centimeters per year. This alignment simplifies the math involved in determining how long it will take for the continents to drift apart by the given distance. Consistently using the same units avoids confusion and errors in calculations.
North American and European Continents
The **North American and European continents** are slowly moving away from each other due to a geological process known as continental drift. This phenomenon was first proposed by Alfred Wegener in the early 20th century.

The current drift rate of about \(3 \, \text{cm/year}\) means that these two continents are separating at a steady pace, calculated over millions of years. Such knowledge helps geologists understand the structure and movement of Earth’s crust, providing insights into plate tectonics and the history of Earth's geography.
  • This ongoing drift impacts various geological and environmental factors, though typically on timescales much longer than human lifetimes.
  • The understanding of these processes connects geological sciences with historical geography.
Grasping the movement of continents not only helps in scientific research but also in understanding how the Earth has evolved and will continue to change over time.

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Most popular questions from this chapter

In 1954 the English runner Roger Bannister broke the four-minute barrier for the mile with a time of 3: 59.4 s \((3\) min and \(59.4 \mathrm{~s}\) ). In 1999 the Moroccan runner Hicham elGuerrouj set a record of 3: 43.13 s for the mile. If these two runners had run in the same race, each running the entire race at the average speed that earned him a place in the record books, el-Guerrouj would have won. By how many meters?

A train has a length of \(92 \mathrm{~m}\) and starts from rest with a constant acceleration at time \(t=0 \mathrm{~s} .\) At this instant, a car just reaches the end of the train. The car is moving with a constant velocity. At a time \(t=14 \mathrm{~s},\) the car just reaches the front of the train. Ultimately, however, the train pulls ahead of the car, and at time \(t=28 \mathrm{~s},\) the car is again at the rear of the train. Find the magnitudes of (a) the car's velocity and (b) the train's acceleration.

Review Interactive Solution 2.49 at before beginning this problem. A woman on a bridge \(75.0 \mathrm{~m}\) high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 7.00 \(\mathrm{m}\) more to travel before passing under the bridge. The stone hits the water \(4.00 \mathrm{~m}\) in front of the raft. Find the speed of the raft.

The Space Shuttle travels at a speed of about \(7.6 \times 10^{3} \mathrm{~m} / \mathrm{s}\). The blink of an astronaut's eye lasts about \(110 \mathrm{~ms}\). How many football fields (length \(=91.4 \mathrm{~m}\) ) does the Shuttle cover in the blink of an eye?

A Boeing 747 "Jumbo Jet" has a length of \(59.7 \mathrm{~m}\). The runway on which the plane lands intersects another runway. The width of the intersection is \(25.0 \mathrm{~m} .\) The plane decelerates through the intersection at a rate of \(5.70 \mathrm{~m} / \mathrm{s}^{2}\) and clears it with a final speed of \(45.0 \mathrm{~m} / \mathrm{s}\). How much time is needed for the plane to clear the intersection?

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