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P waves are the least damaging and only travel left and right, forward and backward along the horizontal plane. S waves are the most dangerous because they cause up and down motion and travel along the surface and solids of a medium causing the most destructive force. However they do not travel as far as P-waves. This is why earthquakes across the planet are felt on the other side. AKA Japan earthquake felt in USA. This is due to the P-waves.

http://www.revisionworld.com/files/seismic%20copy.jpg

Answer by Mathew Cutshall.

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