Physics
29.05.2022 20:18
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An earthquake releases two types of traveling seismic waves, called transverse and

An earthquake releases two types of traveling seismic waves, called transverse and longitudinal waves. the average speed of the 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?
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gigi8879
gigi8879
4,9(41 marks)

1083.173 km

Explanation:

Speed of longitudinal waves = 9.1 km/s

Speed of transverse waves = 5.7 km/s

Time taken by the longitudinal wave is t

Time taken by the transverse wave is t+71

Distance = Speed ร— Time

Distance traveled by the longitudinal wave

\text{Distance}=9.1t

Distance traveled by the transverse wave

\text{Distance}=5.7(t+71)

Since both distances are equal

9.1t=5.7(t+71)\\\Rightarrow 9.1t-5.7t=404.7\\\Rightarrow 3.4t=404.7\\\Rightarrow t=\frac{404.7}{3.4}=119.03\ s

The time taken by the longitudinal wave is 119.03 seconds

Distance traveled by the longitudinal wave

9.1t=9.1\times 119.03=1083.173\ km

The earthquake is 1083.173 km away

surfer89
surfer89
4,4(30 marks)

0.429m=429 mm

Explanation:

Since there are 1,000 millimeters per meter, you need to multiply by 1,000 to convert from meters to millimeters.

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