Kinetic energy of plate tectonics problem

AI Thread Summary
The discussion focuses on calculating the kinetic energy of the North American continental plate, which moves at approximately 1.15 cm/year. The area, thickness, and density of the plate are provided to determine its volume and mass. The initial calculation for kinetic energy was found to be incorrect due to a conversion error from square kilometers to square meters. After receiving feedback, the user identified the mistake and acknowledged the correction. The conversation highlights the importance of accurate unit conversions in physics problems.
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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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Check your conversion from square kilometers to square meters for the area.
 
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Check your unit conversions.

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