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## An earthquake emits both S-waves and P-waves which travel at different speeds through the Earth. A P-wave travels at 9 000 m/s and an S-wave

Question

An earthquake emits both S-waves and P-waves which travel at different speeds through the Earth. A P-wave travels at 9 000 m/s and an S-wave travels at 5 000 m/s. If P-waves are received at a seismic station 1.00 minute before an S-wave arrives, how far away is the earthquake center?

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Physics
5 months
2021-08-10T20:29:36+00:00
2021-08-10T20:29:36+00:00 1 Answers
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## Answers ( )

Assuming constant speeds, the P-wave covers a distance

din timetsuch that9000 m/s =

d/(60t)while the S-wave covers the same distance after 1 more minute so that

5000 m/s =

d/(60(t+ 1))Now,

d= 540,000td= 300,000(t+ 1) = 300,000t+ 300,000Solve for

tin the first equation and substitute it into the second equation, then solve ford:t=d/540,000d= 300,000/540,000d+ 300,0004/9

d= 300,000d= 675,000So the earthquake center is

675,000 m awayfrom the seismic station.