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PSYCHO15rus [73]
3 years ago
12

6. An earthquake releases two types of traveling seismic waves, called transverse and longitudinal waves. The average speed of t

he transverse and longitudinal waves in rock are 9.1 km/s and 5.7 km/s respectively. A seismograph records the arrival of the transverse waves 71 s before that of the longitudinal waves. Assuming the waves travel in straight lines, how far away is the center of the earthquake?
Physics
1 answer:
zubka84 [21]3 years ago
6 0

Answer:

The distance away the center of the earthquake is 1083.24 km.

Explanation:

Given that,

Speed of transverse wave = 9.1\ km/s

Speed of longitudinal wave = 5.7 km/s

Time = 71 sec

We need to calculate the distance of transverse wave

Using formula of distance

d=v\times t

d=9.1\times t....(I)

The distance of longitudinal wave

d=5.7\times (t+71)....(II)

From the first equation

t=\dfrac{d}{9.1}

Put the value of t in equation (II)

d =5.7\times(\dfrac{d}{9.1}+71)

\dfrac{9.1d-5.7d}{9.1}=71\times5.7

d0.3736=404.7

d =1083.24\ km

Hence, The distance away the center of the earthquake is 1083.24 km.

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The free body diagram of this question is shown on the first uploaded image

From the question we are told that

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Here  g = 32.2 ft/s^2

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