Kinetic energy of plate tectonics problem

In summary, the North American continental plate moves at a speed of 1.15 cm/yr due to plate tectonics. Using the equation 0.5mv2, the kinetic energy associated with this movement can be calculated by converting the area from square kilometers to square meters and properly converting units. The correct answer is 0.179 Joules.
  • #1
hndalama
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Homework Statement


One effect of plate tectonics is that the North American continental plate moves across the Earth’s surface at a speed of about 1.15 cm/yr. The North American plate has an area of about 35 million square kilometers, an average thickness of about 25 km, and a density of about 3 g/cc. What is the kinetic energy associated with this movement?

Homework Equations


0.5mv2

The Attempt at a Solution


volume=area*thickness
volume= 35 *109 * 25000 = 8.75 *1014 m3
density =3 g/cc = 3000 kg/m3
velocity= 1.15cm/yr = 3.697*10-10 m/s

mass = density * volume
mass= 8.75 *1014 m3 * 3000 kg/m3
mass = 2.625 * 1018 kg

kinetic energy = 0.5mv2
0.5 * 2.625 * 1018 * (3.697*10-10)2
= 0.179 Joules
My answer is marked wrong but what's wrong with it?
 
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  • #2
Check your conversion from square kilometers to square meters for the area.
 
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  • #3
Check your unit conversions.

EDIT: Beat me to it.
 
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  • #4
oh I see my mistake now, thanks for your help
 

1. What is the definition of kinetic energy in the context of plate tectonics?

Kinetic energy in plate tectonics refers to the energy generated by the movement and collision of tectonic plates. This energy is responsible for shaping the Earth's surface and causing geological events such as earthquakes and volcanic eruptions.

2. How is kinetic energy calculated in plate tectonics?

The calculation of kinetic energy in plate tectonics involves determining the mass and velocity of the moving tectonic plates. The formula for kinetic energy is 1/2 * mass * velocity^2. Therefore, the greater the mass and velocity of the plates, the higher their kinetic energy will be.

3. What factors affect the kinetic energy of tectonic plates?

The kinetic energy of tectonic plates can be influenced by various factors, such as the direction and speed of plate movement, the type of boundary between plates (convergent, divergent, or transform), and the type of rock composing the plates.

4. How does the kinetic energy of tectonic plates impact the Earth's surface?

The kinetic energy of tectonic plates is responsible for the formation of landforms, such as mountains, valleys, and ocean trenches. It also causes seismic activity, such as earthquakes and volcanic eruptions, which can have devastating effects on the Earth's surface and its inhabitants.

5. Can we measure the kinetic energy of tectonic plates?

Yes, scientists use various techniques to measure the kinetic energy of tectonic plates, such as satellite imaging, GPS data, and seismic monitoring. These measurements help us understand the movements of tectonic plates and predict potential geological events.

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