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2. On Planet X (not earth),weird seismic activity causes movement of the seafloo

ID: 105341 • Letter: 2

Question

2. On Planet X (not earth),weird seismic activity causes movement of the seafloor such that continuous tsunami waves are generated originating from two underwater peaks located a distance d = 1510 km apart, and the peaks are moving up and down such that after one peak reaches maximum height, the other peak reaches maximum height 5.0 seconds later, and then the first peak again reaches maximum height 5.0 seconds after that. In this way, the waves propagate as deep water ocean waves from the two peaks acting as point sources near the surface. You are on a little boat located on a line between the peaks, a distance 64.0 m beyond the midpoint between the peaks (and closer to peak 2). The waves are starting to intensify! How far and in which direction should you paddle, in order to best ride out the tsunami waves? Draw a sketch, show your calculation of your quantitative answer, and explain in your own words how you solved it.

Explanation / Answer

Distance beetween two peak is 1510 km

this is the wavelebgth=peak to peak distance=1510 km

frequency =1/T=1/5=0.20 Z

THUS VELOCITY OF TSUNAMI =1510*0.2-=302 km/sec

distance from 1 st peak=1510/2+0.064 =755.064 km

you should paddle opposite to direction of tsunami

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