Kinetic energy of plate tectonics problem

Click For Summary

Homework Help Overview

The problem involves calculating the kinetic energy associated with the movement of the North American continental plate, which is described in terms of its speed, area, thickness, and density. The context is rooted in the subject area of physics, specifically relating to kinetic energy and plate tectonics.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculations related to volume, mass, and kinetic energy, with specific attention to unit conversions and the accuracy of the area measurement.

Discussion Status

Some participants have identified potential errors in the original poster's unit conversions, particularly from square kilometers to square meters. There is acknowledgment of a mistake, and the original poster expresses understanding after receiving feedback.

Contextual Notes

There is a focus on ensuring correct unit conversions, which is critical for the accuracy of the calculations involved in the problem.

hndalama
Messages
32
Reaction score
0

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?
 
Physics news on Phys.org
Check your conversion from square kilometers to square meters for the area.
 
  • Like
Likes   Reactions: hndalama and PetSounds
Check your unit conversions.

EDIT: Beat me to it.
 
  • Like
Likes   Reactions: hndalama
oh I see my mistake now, thanks for your help
 

Similar threads

Replies
2
Views
2K
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 46 ·
2
Replies
46
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K