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Q. 51

Expert-verified
Found in: Page 453

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Earthquakes are essentially sound waves—called seismicwaves—traveling through the earth. Because the earth is solid, it can support both longitudinal and transverse seismic waves. The speed of longitudinal waves, called P waves, is 8000 m/s. Transverse waves, called S waves, travel at a slower 4500 m/s. A seismograph records the two waves from a distant earthquake. If the S wave arrives 2.0 min after the P wave, how far away was the earthquake? You can assume that the waves travel in straight lines, although actual seismic waves follow more complex routes.

The earthquake was a distance of

See the step by step solution

## Step 1: Given data

The speed of longitudinal wave (P-wave) is,

The speed of transverse wave is (S-wave),

Consider the arrival time of longitudinal wave is, and the arrival time of transverse wave is,

## Step 2: Determination of the time

According to the question,

We take, the earthquake is at a distance of

So consider the P-wave,

For the S-wave,

Assuming the waves travel at straight lines, then we can write from the above equations,

## Step 3: Determination of the distance

Substituting the value of in equation , we get,

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